id
stringlengths
24
27
content
stringlengths
37
384k
max_stars_repo_path
stringlengths
51
51
condefects-python_data_1801
import sys input = sys.stdin.readline def ip():return int(input()) def mp():return map(int, input().split()) def lmp():return list(map(int, input().split())) # ABC250 E 1421 - Prefix Equality N = ip() A = lmp() B = lmp() aset = set() bset = set() xorset = set() # xorset: A, B どちらかだけに含まれる要素の集合 bp = 0 same = [False] * (N+1) same[0] = True for a in A: # if a in aset:continue aset.add(a) if a in xorset: xorset.remove(a) else: xorset.add(a) while bp < N and B[bp] in bset: bp += 1 if bp == N: break b = B[bp] bset.add(b) if b in xorset: xorset.remove(b) else: xorset.add(b) same[len(aset)] = (len(xorset) == 0) # print(aset, bset, xorset, same) cntA = [0] * (N+1) cntB = [0] * (N+1) # cntA[i], cntB[i]: i番目までに含まれる要素数 aset = set() bset = set() for i in range(N): aset.add(A[i]) cntA[i+1] = len(aset) bset.add(B[i]) cntB[i+1] = len(bset) # print(aset, bset, cntA, cntB) Q = ip() for _ in range(Q): x, y = mp() if cntA[x] == cntB[y] and same[cntA[x]]: print("Yes") else: print("No") import sys input = sys.stdin.readline def ip():return int(input()) def mp():return map(int, input().split()) def lmp():return list(map(int, input().split())) # ABC250 E 1421 - Prefix Equality N = ip() A = lmp() B = lmp() aset = set() bset = set() xorset = set() # xorset: A, B どちらかだけに含まれる要素の集合 bp = 0 same = [False] * (N+1) same[0] = True for a in A: if a in aset:continue aset.add(a) if a in xorset: xorset.remove(a) else: xorset.add(a) while bp < N and B[bp] in bset: bp += 1 if bp == N: break b = B[bp] bset.add(b) if b in xorset: xorset.remove(b) else: xorset.add(b) same[len(aset)] = (len(xorset) == 0) # print(aset, bset, xorset, same) cntA = [0] * (N+1) cntB = [0] * (N+1) # cntA[i], cntB[i]: i番目までに含まれる要素数 aset = set() bset = set() for i in range(N): aset.add(A[i]) cntA[i+1] = len(aset) bset.add(B[i]) cntB[i+1] = len(bset) # print(aset, bset, cntA, cntB) Q = ip() for _ in range(Q): x, y = mp() if cntA[x] == cntB[y] and same[cntA[x]]: print("Yes") else: print("No")
ConDefects/ConDefects/Code/abc250_e/Python/44674065
condefects-python_data_1802
from collections import defaultdict n=int(input()) a=list(map(int,input().split())) b=list(map(int,input().split())) ans=[[0,-1] for _ in range(n)] nowa=set() nowb=set() notcheck=set() d=defaultdict(int) cnt=0 for i in range(n): if a[i] in notcheck: notcheck.remove(a[i]) if notcheck: ans[i][0]=ans[i-1][0] if a[i] in nowa: ans[i]=ans[i-1] continue if a[i] in nowb: ans[i][0]=max(ans[i-1][0],d[a[i]]) if not notcheck: ans[i][1]=cnt-1 nowa.add(a[i]) continue nowa.add(a[i]) bool=False while cnt<n: if b[cnt] not in nowa: notcheck.add(b[cnt]) if b[cnt] in nowb: cnt+=1 continue else: d[b[cnt]]=cnt nowb.add(b[cnt]) if b[cnt]==a[i]: bool=True ans[i][0]=cnt cnt+=1 while cnt<n: if b[cnt]!=a[i]: break cnt+=1 if not notcheck: ans[i][1]=cnt-1 if bool: break cnt+=1 if not bool: break q=int(input()) for i in range(q): x,y=map(int,input().split()) x-=1 y-=1 if ans[x][0]<=y<=ans[x][1]: print('Yes') else: print('No') from collections import defaultdict n=int(input()) a=list(map(int,input().split())) b=list(map(int,input().split())) ans=[[0,-1] for _ in range(n)] nowa=set() nowb=set() notcheck=set() d=defaultdict(int) cnt=0 for i in range(n): if a[i] in notcheck: notcheck.remove(a[i]) if notcheck: ans[i][0]=ans[i-1][0] if a[i] in nowa: ans[i]=ans[i-1] continue if a[i] in nowb: ans[i][0]=max(ans[i-1][0],d[a[i]]) if not notcheck: ans[i][1]=cnt-1 nowa.add(a[i]) continue nowa.add(a[i]) bool=False while cnt<n: if b[cnt] not in nowa: notcheck.add(b[cnt]) if b[cnt] in nowb: cnt+=1 continue else: d[b[cnt]]=cnt nowb.add(b[cnt]) if b[cnt]==a[i]: bool=True ans[i][0]=cnt cnt+=1 while cnt<n: if b[cnt] not in nowb: break cnt+=1 if not notcheck: ans[i][1]=cnt-1 if bool: break cnt+=1 if not bool: break q=int(input()) for i in range(q): x,y=map(int,input().split()) x-=1 y-=1 if ans[x][0]<=y<=ans[x][1]: print('Yes') else: print('No')
ConDefects/ConDefects/Code/abc250_e/Python/46017900
condefects-python_data_1803
def func(): pattern1 = ["H","D","C","S"] pattern2 = ["A","2","3","4","5","6","7","8","9","T","J","Q","K"] pat_set = set() # 入力を取得 N = int(input()) for n in range(N): s = input() if (not(s[0] in pattern1)) or (not(s[1] in pattern2)) or (not(s in pat_set)): print("No") return pat_set.add(s) print("Yes") if __name__ == '__main__': func() def func(): pattern1 = ["H","D","C","S"] pattern2 = ["A","2","3","4","5","6","7","8","9","T","J","Q","K"] pat_set = set() # 入力を取得 N = int(input()) for n in range(N): s = input() if (not(s[0] in pattern1)) or (not(s[1] in pattern2)) or (s in pat_set): print("No") return pat_set.add(s) print("Yes") if __name__ == '__main__': func()
ConDefects/ConDefects/Code/abc277_b/Python/45992139
condefects-python_data_1804
n=int(input()) a=[] b=['H', 'D', 'C', 'S'] first = set(b) second = set(['A', '1', '2', '3', '4', '5', '6', '7', '8', '9', 'T', 'J', 'Q', 'K']) tmp = set() answer = "Yes" for i in range(n): c=input() if (c[0] not in first or c[1] not in second or c in tmp): answer = "No" tmp.add(c) print(answer) n=int(input()) a=[] b=['H', 'D', 'C', 'S'] first = set(b) second = set(['A', '2', '3', '4', '5', '6', '7', '8', '9', 'T', 'J', 'Q', 'K']) tmp = set() answer = "Yes" for i in range(n): c=input() if (c[0] not in first or c[1] not in second or c in tmp): answer = "No" tmp.add(c) print(answer)
ConDefects/ConDefects/Code/abc277_b/Python/45577199
condefects-python_data_1805
n = int(input()) one = ["H", "D", "C", "S"] two = ["A", "2", "3", "4", "5", "6", "7", "8", "9", "T", "J", "Q", "K"] spawned = [] for i in range(n): s = input() if not s[0] in one or not s[1] in two or not s in spawned: print("No") exit(0) else: spawned.append(s) print("Yes") n = int(input()) one = ["H", "D", "C", "S"] two = ["A", "2", "3", "4", "5", "6", "7", "8", "9", "T", "J", "Q", "K"] spawned = [] for i in range(n): s = input() if not s[0] in one or not s[1] in two or s in spawned: print("No") exit(0) else: spawned.append(s) print("Yes")
ConDefects/ConDefects/Code/abc277_b/Python/46214171
condefects-python_data_1806
import sys ipt = sys.stdin.readline N,Q = map(int,ipt().split()) A = list(map(int,ipt().split())) query = [] for i in range(Q): q = list(map(int,ipt().split()))+[i] query.append(q) query.sort(key=lambda x:x[1]) ans = [None]*Q B = [0]*60 S = [0]*60 D = [] def GEM(X,idx,L=None): """ Gaussian Elimination Method B: basis space X: # to reduce L: dim of the basis space (len(B) if not mentioned) """ if L is None: L = len(B) M = -1 T = 0 for i in range(L-1,-1,-1): if X&(1<<i): if B[i]: X ^= B[i] T ^= S[i] elif M == -1: M = i if M == -1: #従属 mi = 10**7 for i in range(L): if T&(1<<i): mi = min(mi,D[i]) out = D.index(mi) D[out] = idx for i in range(L): if S[i]&(1<<out): S[i] ^= T S[i] |= 1<<out else: #独立 B[M] = X S[M] = T+(1<<len(D)) D.append(idx) for i in range(L): if i == M: continue if B[i]&(1<<M): B[i] ^= X S[i] ^= T return X def GEM2(X,l,a,L=None): """ Gaussian Elimination Method B: basis space X: # to reduce L: dim of the basis space (len(B) if not mentioned) """ if L is None: L = len(B) M = -1 T = 0 for i in range(L-1,-1,-1): if X&(1<<i): if B[i]: X ^= B[i] T ^= S[i] elif M == -1: M = i if M == -1: #従属 mi = 10**7 for i in range(L): if T&(1<<i): mi = min(mi,D[i]) if mi >= l: ans[a] = "Yes" else: ans[a] = "No" else: ans[a] = "No" last = -1 for l,r,x,a in query: l,r = l-1,r-1 while last < r: last += 1 GEM(A[last],last) GEM2(x,l,a) for a in ans: print(a) import sys ipt = sys.stdin.readline N,Q = map(int,ipt().split()) A = list(map(int,ipt().split())) query = [] for i in range(Q): q = list(map(int,ipt().split()))+[i] query.append(q) query.sort(key=lambda x:x[1]) ans = [None]*Q B = [0]*60 S = [0]*60 D = [] def GEM(X,idx,L=None): """ Gaussian Elimination Method B: basis space X: # to reduce L: dim of the basis space (len(B) if not mentioned) """ if L is None: L = len(B) M = -1 T = 0 for i in range(L-1,-1,-1): if X&(1<<i): if B[i]: X ^= B[i] T ^= S[i] elif M == -1: M = i if M == -1: #従属 mi = 10**7 for i in range(L): if T&(1<<i): mi = min(mi,D[i]) out = D.index(mi) D[out] = idx for i in range(L): if S[i]&(1<<out): S[i] ^= T S[i] |= 1<<out else: #独立 B[M] = X S[M] = T+(1<<len(D)) D.append(idx) for i in range(L): if i == M: continue if B[i]&(1<<M): B[i] ^= X S[i] ^= S[M] return X def GEM2(X,l,a,L=None): """ Gaussian Elimination Method B: basis space X: # to reduce L: dim of the basis space (len(B) if not mentioned) """ if L is None: L = len(B) M = -1 T = 0 for i in range(L-1,-1,-1): if X&(1<<i): if B[i]: X ^= B[i] T ^= S[i] elif M == -1: M = i if M == -1: #従属 mi = 10**7 for i in range(L): if T&(1<<i): mi = min(mi,D[i]) if mi >= l: ans[a] = "Yes" else: ans[a] = "No" else: ans[a] = "No" last = -1 for l,r,x,a in query: l,r = l-1,r-1 while last < r: last += 1 GEM(A[last],last) GEM2(x,l,a) for a in ans: print(a)
ConDefects/ConDefects/Code/abc223_h/Python/26668974
condefects-python_data_1807
from collections import defaultdict class UnionFind: def __init__(self,N,label=None,f=None,weighted=False,rollback=False): self.N=N self.parents=[None]*self.N self.size=[1]*self.N self.roots={i for i in range(self.N)} self.label=label if self.label!=None: self.label=[x for x in label] self.f=f self.weighted=weighted if self.weighted: self.weight=[0]*self.N self.rollback=rollback if self.rollback: self.operate_list=[] self.operate_set=[] def Find(self,x): stack=[] while self.parents[x]!=None: stack.append(x) x=self.parents[x] if not self.rollback: if self.weighted: w=0 for y in stack[::-1]: self.parents[y]=x w+=self.weight[y] self.weight[y]=w else: for y in stack[::-1]: self.parents[y]=x return x def Union(self,x,y,w=None): root_x=self.Find(x) root_y=self.Find(y) if self.rollback: self.operate_list.append([]) self.operate_set.append([]) if root_x==root_y: if self.weighted: if self.weight[y]-self.weight[x]==w: return True else: return False else: if self.size[root_x]<self.size[root_y]: x,y=y,x root_x,root_y=root_y,root_x if self.weighted: w=-w if self.rollback: self.operate_list[-1].append((self.parents,root_y,self.parents[root_y])) self.operate_list[-1].append((self.size,root_x,self.size[root_x])) self.operate_set[-1].append(root_y) if self.label!=None: self.operate_list[-1]((self.label,root_x,self.label[root_x])) if self.weighted: self.operate_list[-1].append((self.weight,root_y,self.weight[root_y])) self.parents[root_y]=root_x self.size[root_x]+=self.size[root_y] self.roots.remove(root_y) if self.label!=None: self.label[root_x]=self.f(self.label[root_x],self.label[root_y]) if self.weighted: self.weight[root_y]=w+self.weight[x]-self.weight[y] def Size(self,x): return self.size[self.Find(x)] def Same(self,x,y): return self.Find(x)==self.Find(y) def Label(self,x): return self.label[self.Find(x)] def Weight(self,x,y): root_x=self.Find(x) root_y=self.Find(y) if root_x!=root_y: return None return self.weight[y]-self.weight[x] def Roots(self): return list(self.roots) def Linked_Components_Count(self): return len(self.roots) def Linked_Components(self): linked_components=defaultdict(list) for x in range(self.N): linked_components[self.Find(x)].append(x) return linked_components def Rollback(self): assert self.rollback if self.operate_list: for lst,x,v in self.operate_list.pop(): lst[x]=v for x in self.operate_set.pop(): self.roots.add(x) return True else: return False def __str__(self): linked_components=defaultdict(list) for x in range(self.N): linked_components[self.Find(x)].append(x) return "\n".join(f"{r}: {linked_components[r]}" for r in sorted(list(linked_components.keys()))) N,M=map(int,input().split()) A=list(map(int,input().split())) edges=[] UF=UnionFind(N) for m in range(M): u,v=map(int,input().split()) u-=1;v-=1 if A[u]==A[v]: UF.Union(u,v) else: if A[u]>A[v]: u,v=v,u edges.append((u,v)) idx=[None]*N lc=UF.Linked_Components() le=len(lc) AA=[] for i,lst in enumerate(lc.values()): for x in lst: idx[x]=i AA.append(A[lst[0]]) graph=[[] for i in range(le)] for u,v in edges: graph[idx[u]].append(idx[v]) inf=1<<30 dp=[-inf]*le dp[idx[0]]=1 for i in sorted([i for i in range(le)],key=lambda i:AA[i]): for j in graph[i]: dp[j]=max(dp[j],dp[i]+1) ans=dp[idx[N-1]] if ans==-inf: ans=0 print(ans) from collections import defaultdict class UnionFind: def __init__(self,N,label=None,f=None,weighted=False,rollback=False): self.N=N self.parents=[None]*self.N self.size=[1]*self.N self.roots={i for i in range(self.N)} self.label=label if self.label!=None: self.label=[x for x in label] self.f=f self.weighted=weighted if self.weighted: self.weight=[0]*self.N self.rollback=rollback if self.rollback: self.operate_list=[] self.operate_set=[] def Find(self,x): stack=[] while self.parents[x]!=None: stack.append(x) x=self.parents[x] if not self.rollback: if self.weighted: w=0 for y in stack[::-1]: self.parents[y]=x w+=self.weight[y] self.weight[y]=w else: for y in stack[::-1]: self.parents[y]=x return x def Union(self,x,y,w=None): root_x=self.Find(x) root_y=self.Find(y) if self.rollback: self.operate_list.append([]) self.operate_set.append([]) if root_x==root_y: if self.weighted: if self.weight[y]-self.weight[x]==w: return True else: return False else: if self.size[root_x]<self.size[root_y]: x,y=y,x root_x,root_y=root_y,root_x if self.weighted: w=-w if self.rollback: self.operate_list[-1].append((self.parents,root_y,self.parents[root_y])) self.operate_list[-1].append((self.size,root_x,self.size[root_x])) self.operate_set[-1].append(root_y) if self.label!=None: self.operate_list[-1]((self.label,root_x,self.label[root_x])) if self.weighted: self.operate_list[-1].append((self.weight,root_y,self.weight[root_y])) self.parents[root_y]=root_x self.size[root_x]+=self.size[root_y] self.roots.remove(root_y) if self.label!=None: self.label[root_x]=self.f(self.label[root_x],self.label[root_y]) if self.weighted: self.weight[root_y]=w+self.weight[x]-self.weight[y] def Size(self,x): return self.size[self.Find(x)] def Same(self,x,y): return self.Find(x)==self.Find(y) def Label(self,x): return self.label[self.Find(x)] def Weight(self,x,y): root_x=self.Find(x) root_y=self.Find(y) if root_x!=root_y: return None return self.weight[y]-self.weight[x] def Roots(self): return list(self.roots) def Linked_Components_Count(self): return len(self.roots) def Linked_Components(self): linked_components=defaultdict(list) for x in range(self.N): linked_components[self.Find(x)].append(x) return linked_components def Rollback(self): assert self.rollback if self.operate_list: for lst,x,v in self.operate_list.pop(): lst[x]=v for x in self.operate_set.pop(): self.roots.add(x) return True else: return False def __str__(self): linked_components=defaultdict(list) for x in range(self.N): linked_components[self.Find(x)].append(x) return "\n".join(f"{r}: {linked_components[r]}" for r in sorted(list(linked_components.keys()))) N,M=map(int,input().split()) A=list(map(int,input().split())) edges=[] UF=UnionFind(N) for m in range(M): u,v=map(int,input().split()) u-=1;v-=1 if A[u]==A[v]: UF.Union(u,v) else: if A[u]>A[v]: u,v=v,u edges.append((u,v)) idx=[None]*N lc=UF.Linked_Components() le=len(lc) AA=[] for i,lst in enumerate(lc.values()): for x in lst: idx[x]=i AA.append(A[lst[0]]) graph=[[] for i in range(le)] for u,v in edges: graph[idx[u]].append(idx[v]) inf=1<<30 dp=[-inf]*le dp[idx[0]]=1 for i in sorted([i for i in range(le)],key=lambda i:AA[i]): for j in graph[i]: dp[j]=max(dp[j],dp[i]+1) ans=dp[idx[N-1]] if ans<0: ans=0 print(ans)
ConDefects/ConDefects/Code/abc335_e/Python/55029036
condefects-python_data_1808
from collections import deque, defaultdict, Counter from bisect import bisect_left, bisect_right from atcoder.segtree import SegTree from atcoder.lazysegtree import LazySegTree from atcoder.dsu import DSU from atcoder.scc import SCCGraph from itertools import permutations, combinations from heapq import heappop, heappush import math, sys _int = lambda x: int(x)-1 MOD = 998244353 INF = 1<<62 Yes, No = "Yes", "No" N, M = map(int, input().split()) A = list(map(int, input().split())) S = sorted(set(A)) UV = [] D = DSU(N) for _ in range(M): u, v = map(_int, input().split()) if A[u] == A[v]: D.merge(u, v) else: if A[u] > A[v]: u, v = v, u UV.append((u, v)) G = SCCGraph(N) E = defaultdict(list) for u, v in UV: G.add_edge(D.leader(u), D.leader(v)) E[u].append(v) memo = [0]*N memo[D.leader(0)] = 1 for g in G.scc(): for i in g: if memo[i] == 0: continue for j in E[i]: memo[j] = max(memo[j], memo[i]+1) print(memo[D.leader(N-1)]) from collections import deque, defaultdict, Counter from bisect import bisect_left, bisect_right from atcoder.segtree import SegTree from atcoder.lazysegtree import LazySegTree from atcoder.dsu import DSU from atcoder.scc import SCCGraph from itertools import permutations, combinations from heapq import heappop, heappush import math, sys _int = lambda x: int(x)-1 MOD = 998244353 INF = 1<<62 Yes, No = "Yes", "No" N, M = map(int, input().split()) A = list(map(int, input().split())) S = sorted(set(A)) UV = [] D = DSU(N) for _ in range(M): u, v = map(_int, input().split()) if A[u] == A[v]: D.merge(u, v) else: if A[u] > A[v]: u, v = v, u UV.append((u, v)) G = SCCGraph(N) E = defaultdict(list) for u, v in UV: G.add_edge(D.leader(u), D.leader(v)) E[D.leader(u)].append(D.leader(v)) memo = [0]*N memo[D.leader(0)] = 1 for g in G.scc(): for i in g: if memo[i] == 0: continue for j in E[i]: memo[j] = max(memo[j], memo[i]+1) print(memo[D.leader(N-1)])
ConDefects/ConDefects/Code/abc335_e/Python/54715880
condefects-python_data_1809
def chmax(A, idx, val): if A[idx] < val: A[idx] = val from atcoder.dsu import DSU INF = float("INF") N, M = map(int, input().split()) A = list(map(int, input().split())) G = [[] for v in range(N)] uf = DSU(N) for _ in range(M): a, b = map(lambda x: int(x) - 1, input().split()) G[a].append(b) G[b].append(a) if A[a] == A[b]: uf.merge(a, b) def solve(N, M, A, G, uf): def contract(G, uf: DSU): N = len(G) nG = [[] for v in range(N)] for v in range(N): for a in G[v]: nG[uf.leader(v)].append(uf.leader(a)) return nG G = contract(G, uf) dp = [-(INF)]*N dp[0] = 1 for v in sorted(range(N), key=lambda i: A[i]): for a in G[v]: if A[v] < A[a]: chmax(dp, a, dp[v] + 1) ans = dp[uf.leader(N-1)] return ans ans = solve(N, M, A, G, uf) if ans == -INF: print(0) else: print(ans) def chmax(A, idx, val): if A[idx] < val: A[idx] = val from atcoder.dsu import DSU INF = float("INF") N, M = map(int, input().split()) A = list(map(int, input().split())) G = [[] for v in range(N)] uf = DSU(N) for _ in range(M): a, b = map(lambda x: int(x) - 1, input().split()) G[a].append(b) G[b].append(a) if A[a] == A[b]: uf.merge(a, b) def solve(N, M, A, G, uf): def contract(G, uf: DSU): N = len(G) nG = [[] for v in range(N)] for v in range(N): for a in G[v]: nG[uf.leader(v)].append(uf.leader(a)) return nG G = contract(G, uf) dp = [-(INF)]*N dp[uf.leader(0)] = 1 for v in sorted(range(N), key=lambda i: A[i]): for a in G[v]: if A[v] < A[a]: chmax(dp, a, dp[v] + 1) ans = dp[uf.leader(N-1)] return ans ans = solve(N, M, A, G, uf) if ans == -INF: print(0) else: print(ans)
ConDefects/ConDefects/Code/abc335_e/Python/54978942
condefects-python_data_1810
n_strings = int(input()) data = [] for i in range(n_strings): info = input().split() data.append((info[0], int(info[1]))) max_strings = set() max_score = 0 max_index = 0 for i in range(n_strings): string, score = data[i] if score > max_score and string not in max_strings: max_score = score max_strings.add(string) max_index = i print(max_index + 1) n_strings = int(input()) data = [] for i in range(n_strings): info = input().split() data.append((info[0], int(info[1]))) max_strings = set() max_score = 0 max_index = 0 for i in range(n_strings): string, score = data[i] if score > max_score and string not in max_strings: max_score = score max_index = i max_strings.add(string) print(max_index + 1)
ConDefects/ConDefects/Code/abc251_c/Python/44644261
condefects-python_data_1811
n, k = map(int, input().split()) s = [input() for _ in range(n)] s.sort() for i in range(k): print(s[i]) n, k = map(int, input().split()) s = [input() for _ in range(k)] s.sort() for i in range(k): print(s[i])
ConDefects/ConDefects/Code/abc288_b/Python/44592257
condefects-python_data_1812
a,b=map(int,input().split()) c=[] for i in range(a): c.append(str(input())) c.sort() c=c[0:b] for i in c: print(i) a,b=map(int,input().split()) c=[] for i in range(a): c.append(str(input())) c=c[0:b] c.sort() for i in c: print(i)
ConDefects/ConDefects/Code/abc288_b/Python/45965822
condefects-python_data_1813
N, K = map(int, input().split()) A = list(map(int, input().split())) d = {} for a in A: if a not in d: d[a] = 0 d[a] += 1 n = 0 for a in d: n = max(n, d[a]) M = [] for a in d: if n == d[a]: M.append(a) M.sort() M.reverse() m = len(M) ans = M[m - 1] - M[0] + (N - n) * K for j in range(m - 1): cand = M[j + 1] - M[j] + (N - n - 1) * K ans = max(ans, cand) print(ans) N, K = map(int, input().split()) A = list(map(int, input().split())) d = {} for a in A: if a not in d: d[a] = 0 d[a] += 1 n = 0 for a in d: n = max(n, d[a]) M = [] for a in d: if n == d[a]: M.append(a) M.sort() M.reverse() m = len(M) ans = M[m - 1] - M[0] + (N - n) * K for j in range(m - 1): cand = M[j] - M[j + 1] + (N - n - 1) * K ans = max(ans, cand) print(ans)
ConDefects/ConDefects/Code/agc065_a/Python/49045953
condefects-python_data_1814
x, y, z = map(int, input().split()) if x*y < 0: print(abs(x)) else: if abs(y) > abs(x): print(abs(x)) else: if x*z <0: print(abs(x)+2*abs(z)) else: if abs(z) < abs(x): print(abs(x)) else: print(-1) x, y, z = map(int, input().split()) if x*y < 0: print(abs(x)) else: if abs(y) > abs(x): print(abs(x)) else: if x*z <0: print(abs(x)+2*abs(z)) else: if abs(z) < abs(y): print(abs(x)) else: print(-1)
ConDefects/ConDefects/Code/abc270_b/Python/46011134
condefects-python_data_1815
x, y, z = map(int, input().split()) if y < 0 < x or y > 0 > x: print(abs(x)) elif 0 < y < x or 0 > y > x: if 0 < y < z or 0 > y > z: print(-1) elif 0 < z < x or 0 > z > x: print(abs(x)) else: print(abs(x) + abs(z) * 2) x, y, z = map(int, input().split()) if y < 0 < x or y > 0 > x: print(abs(x)) elif 0 < x < y or 0 > x > y: print(abs(x)) elif 0 < y < x or 0 > y > x: if 0 < y < z or 0 > y > z: print(-1) elif 0 < z < x or 0 > z > x: print(abs(x)) else: print(abs(x) + abs(z) * 2)
ConDefects/ConDefects/Code/abc270_b/Python/45342389
condefects-python_data_1816
INT = lambda : int(input()) MI = lambda : map(int, input().split()) MI_DEC = lambda : map(lambda x : int(x)-1, input().split()) LI = lambda : list(map(int, input().split())) LI_DEC = lambda : list(map(lambda x : int(x)-1, input().split())) INF = float('inf') X, Y, Z = MI() if X * Y > 0: if abs(X) < abs(Y): print(abs(X)) exit(0) elif Z * Y < 0: print(abs(X) + 2 * abs(Z)) exit(0) elif Y < Z: print(-1) exit(0) else: print(abs(X)) else: print(abs(X)) INT = lambda : int(input()) MI = lambda : map(int, input().split()) MI_DEC = lambda : map(lambda x : int(x)-1, input().split()) LI = lambda : list(map(int, input().split())) LI_DEC = lambda : list(map(lambda x : int(x)-1, input().split())) INF = float('inf') X, Y, Z = MI() if X * Y > 0: if abs(X) < abs(Y): print(abs(X)) exit(0) elif Z * Y < 0: print(abs(X) + 2 * abs(Z)) exit(0) elif abs(Y) < abs(Z): print(-1) exit(0) else: print(abs(X)) else: print(abs(X))
ConDefects/ConDefects/Code/abc270_b/Python/46011140
condefects-python_data_1817
#!/usr/bin/env python3 x, y, z = [int(x) for x in input().split()] if (0 < x - y < x and x > 0) or (x < x - y < 0 and x < 0): if 0 < y - z < y: print(abs(x)) elif (y - z < 0 and y > 0) or (y - z > 0 and y < 0): print(-1) else: print(abs(z) * 2 + abs(x)) else: print(abs(x)) #!/usr/bin/env python3 x, y, z = [int(x) for x in input().split()] if (0 < x - y < x and x > 0) or (x < x - y < 0 and x < 0): if (0 < y - z < y and y > 0) or (y < y - z < 0 and y < 0): print(abs(x)) elif (y - z < 0 and y > 0) or (y - z > 0 and y < 0): print(-1) else: print(abs(z) * 2 + abs(x)) else: print(abs(x))
ConDefects/ConDefects/Code/abc270_b/Python/45519272
condefects-python_data_1818
n=int(input()) b=input().split() a=[int(i) for i in b] ans=a[0] sum_=0 for i in a: sum_+=i ans=min(ans,sum_) print(sum(a)-ans) n=int(input()) b=input().split() a=[int(i) for i in b] ans=0 sum_=0 for i in a: sum_+=i ans=min(ans,sum_) print(sum(a)-ans)
ConDefects/ConDefects/Code/abc339_c/Python/54709074
condefects-python_data_1819
n = int(input()) A = list(map(int, input().split())) B = [0]*n B[0] = A[0] mi = 0 for i in range(1,n): B[i] = B[i-1] + A[i] if B[i] < B[mi]: mi = i # print(B, mi) ans = sum(A[mi+1:]) print(ans) n = int(input()) A = list(map(int, input().split())) B = [0]*n B[0] = A[0] mi = 0 for i in range(1,n): B[i] = B[i-1] + A[i] if B[i] < B[mi]: mi = i # print(B, mi) ans = sum(A[mi+1:]) if 0 < B[mi]: ans += B[mi] print(ans)
ConDefects/ConDefects/Code/abc339_c/Python/54653451
condefects-python_data_1820
n = int(input()) A = list(map(int, input().split())) x = 0 s = 0 for i in A: s += i if s < 0: x = max(x, -s) s=0 print(sum(A) + x) n = int(input()) A = list(map(int, input().split())) x = 0 s = 0 for i in A: s += i if s < 0: x += (-s) s=0 print(sum(A) + x)
ConDefects/ConDefects/Code/abc339_c/Python/54915341
condefects-python_data_1821
n = int(input()) alist = list(map(int, input().split())) acc = 0 imin = 0 amin = 0 for i in range(n): acc += alist[i] if acc <= amin: amin = acc imin = i print(sum(alist[imin+1:])) n = int(input()) alist = list(map(int, input().split())) acc = 0 imin = -1 amin = 0 for i in range(n): acc += alist[i] if acc <= amin: amin = acc imin = i print(sum(alist[imin+1:]))
ConDefects/ConDefects/Code/abc339_c/Python/54222445
condefects-python_data_1822
n = int(input()) a_s = list(map(int, input().split())) num = 0 passengers = [] current_passenger = 0 for i in range(len(a_s)): current_passenger = current_passenger + a_s[i] passengers.append(current_passenger) if min(passengers) >= 0: print(max(passengers)) else: print(passengers[-1] + abs(min(passengers))) n = int(input()) a_s = list(map(int, input().split())) num = 0 passengers = [] current_passenger = 0 for i in range(len(a_s)): current_passenger = current_passenger + a_s[i] passengers.append(current_passenger) if min(passengers) >= 0: print(passengers[-1]) else: print(passengers[-1] + abs(min(passengers)))
ConDefects/ConDefects/Code/abc339_c/Python/54873036
condefects-python_data_1823
# Perfect Bus def calc(N, A): start = 0 total = 0 for i in A: total += i if -start > total: start = -total print("total: " + str(total)) print("start: " + str(start)) return start + total def main(): N = int(input()) A = [int(i) for i in input().split()] print(calc(N, A)) if __name__=="__main__": main() # Perfect Bus def calc(N, A): start = 0 total = 0 for i in A: total += i if -start > total: start = -total return start + total def main(): N = int(input()) A = [int(i) for i in input().split()] print(calc(N, A)) if __name__=="__main__": main()
ConDefects/ConDefects/Code/abc339_c/Python/54482593
condefects-python_data_1824
N = int(input()) A = list(map(int, input().split())) total = 0 min_diff = float('inf') for i in range(N): total += A[i] min_diff = min(min_diff, total) print(total + abs(min_diff)) N = int(input()) A = list(map(int, input().split())) total = 0 min_diff = 0 for i in range(N): total += A[i] min_diff = min(min_diff, total) print(total + abs(min_diff))
ConDefects/ConDefects/Code/abc339_c/Python/54545063
condefects-python_data_1825
## https://atcoder.jp/contests/abc250/tasks/abc250_g MAX_INT = 10 ** 18 class LazySegmentTree: """ 非再帰版遅延セグメント木。 更新は「加法」、取得は「最大値」のもの限定。 取得のところの都合で取得演算子は可換になっている必要がある。 """ def __init__(self, init_array): n = 1 while n < len(init_array): n *= 2 self.size = n self.array = [(MAX_INT, MAX_INT) for _ in range(2 * self.size)] self.lazy_array = [0 for _ in range(2 * self.size)] for i, a in enumerate(init_array): self.array[self.size + i] = (a, i) end_index = self.size start_index = end_index // 2 while start_index >= 1: for i in range(start_index, end_index): self.array[i] = min(self.array[2 * i], self.array[2 * i + 1]) end_index = start_index start_index = end_index // 2 def _propagates(self, *ids): for i in reversed(ids): self._propagate(i) def _propagate(self, i): v = self.lazy_array[i] if v == 0: return if i < self.size: self.lazy_array[2 * i] += v self.lazy_array[2 * i + 1] += v self.array[2 * i] = (self.array[2 * i][0] + v, self.array[2 * i][1]) self.array[2 * i + 1] = (self.array[2 * i + 1][0] + v, self.array[2 * i + 1][1]) self.lazy_array[i] = 0 def _get_target_index(self, l, r): L = l + self.size; R = r + self.size lm = (L // (L & -L)) >> 1 rm = (R // (R & -R)) >> 1 while 0 < L and L < R: if R <= rm: yield R if L <= lm: yield L L >>= 1; R >>= 1 while L > 0: yield L L >>= 1 def add(self, l, r, x): # 2. 区間[l, r)のdata, lazyの値を更新 L = self.size + l; R = self.size + r *ids, = self._get_target_index(l, r) self._propagates(*ids) while L < R: if R & 1: R -= 1 self.lazy_array[R] += x self.array[R] = (self.array[R][0] + x, self.array[R][1]) if L & 1: self.lazy_array[L] += x self.array[L] = (self.array[L][0] + x, self.array[R][1]) L += 1 L >>= 1; R >>= 1 # 3. 伝搬させた区間について、ボトムアップにdataの値を伝搬する for i in ids: if i < self.size: self.array[i] = min(self.array[2 * i], self.array[2 * i + 1]) def get_max(self, l, r): # 1. トップダウンにlazyの値を伝搬 self._propagates(*self._get_target_index(l, r)) L = self.size + l; R = self.size + r # 2. 区間[l, r)の最大値を求める s = (MAX_INT, MAX_INT) while L < R: if R & 1: R -= 1 s = min(s, self.array[R]) if L & 1: s = min(s, self.array[L]) L += 1 L >>= 1; R >>= 1 return s class SegmentTree: """ 非再帰版セグメント木。 更新は「加法」、取得は「最大値」のもの限定。 """ def __init__(self, init_array): n = 1 while n < len(init_array): n *= 2 self.size = n self.array = [(MAX_INT, -1)] * (2 * self.size) for i, a in enumerate(init_array): self.array[self.size + i] = (a, i) end_index = self.size start_index = end_index // 2 while start_index >= 1: for i in range(start_index, end_index): self.array[i] = min(self.array[2 * i], self.array[2 * i + 1]) end_index = start_index start_index = end_index // 2 def set(self, x, a): index = self.size + x self.array[index] = (a, x) while index > 1: index //= 2 self.array[index] = min(self.array[2 * index], self.array[2 * index + 1]) def get_max(self, l, r): L = self.size + l; R = self.size + r # 2. 区間[l, r)の最大値を求める s = (MAX_INT, -1) while L < R: if R & 1: R -= 1 s = min(s, self.array[R]) if L & 1: s = min(s, self.array[L]) L += 1 L >>= 1; R >>= 1 return s def main(): N = int(input()) P = list(map(int, input().split())) # 株の保持数を管理するセグメント木 lazy_seg_tree = LazySegmentTree([0] * N) # 価格を管理するセグメント木 seg_tree = SegmentTree(P) p_array = [(i, p) for i, p in enumerate(P)] p_array.sort(key=lambda x: x[1], reverse=True) answer = 0 for i, p in p_array: v, max_range = lazy_seg_tree.get_max(i, N) if v < 0: max_range = N - 1 s, j = seg_tree.get_max(0, max_range + 1) if s < p: seg_tree.set(j, MAX_INT) seg_tree.set(i, MAX_INT) answer += p - s if i < j: lazy_seg_tree.add(i, j, -1) else: lazy_seg_tree.add(j, i, +1) print(answer) if __name__ == "__main__": main() ## https://atcoder.jp/contests/abc250/tasks/abc250_g MAX_INT = 10 ** 18 class LazySegmentTree: """ 非再帰版遅延セグメント木。 更新は「加法」、取得は「最大値」のもの限定。 取得のところの都合で取得演算子は可換になっている必要がある。 """ def __init__(self, init_array): n = 1 while n < len(init_array): n *= 2 self.size = n self.array = [(MAX_INT, MAX_INT) for _ in range(2 * self.size)] self.lazy_array = [0 for _ in range(2 * self.size)] for i, a in enumerate(init_array): self.array[self.size + i] = (a, i) end_index = self.size start_index = end_index // 2 while start_index >= 1: for i in range(start_index, end_index): self.array[i] = min(self.array[2 * i], self.array[2 * i + 1]) end_index = start_index start_index = end_index // 2 def _propagates(self, *ids): for i in reversed(ids): self._propagate(i) def _propagate(self, i): v = self.lazy_array[i] if v == 0: return if i < self.size: self.lazy_array[2 * i] += v self.lazy_array[2 * i + 1] += v self.array[2 * i] = (self.array[2 * i][0] + v, self.array[2 * i][1]) self.array[2 * i + 1] = (self.array[2 * i + 1][0] + v, self.array[2 * i + 1][1]) self.lazy_array[i] = 0 def _get_target_index(self, l, r): L = l + self.size; R = r + self.size lm = (L // (L & -L)) >> 1 rm = (R // (R & -R)) >> 1 while 0 < L and L < R: if R <= rm: yield R if L <= lm: yield L L >>= 1; R >>= 1 while L > 0: yield L L >>= 1 def add(self, l, r, x): # 2. 区間[l, r)のdata, lazyの値を更新 L = self.size + l; R = self.size + r *ids, = self._get_target_index(l, r) self._propagates(*ids) while L < R: if R & 1: R -= 1 self.lazy_array[R] += x self.array[R] = (self.array[R][0] + x, self.array[R][1]) if L & 1: self.lazy_array[L] += x self.array[L] = (self.array[L][0] + x, self.array[L][1]) L += 1 L >>= 1; R >>= 1 # 3. 伝搬させた区間について、ボトムアップにdataの値を伝搬する for i in ids: if i < self.size: self.array[i] = min(self.array[2 * i], self.array[2 * i + 1]) def get_max(self, l, r): # 1. トップダウンにlazyの値を伝搬 self._propagates(*self._get_target_index(l, r)) L = self.size + l; R = self.size + r # 2. 区間[l, r)の最大値を求める s = (MAX_INT, MAX_INT) while L < R: if R & 1: R -= 1 s = min(s, self.array[R]) if L & 1: s = min(s, self.array[L]) L += 1 L >>= 1; R >>= 1 return s class SegmentTree: """ 非再帰版セグメント木。 更新は「加法」、取得は「最大値」のもの限定。 """ def __init__(self, init_array): n = 1 while n < len(init_array): n *= 2 self.size = n self.array = [(MAX_INT, -1)] * (2 * self.size) for i, a in enumerate(init_array): self.array[self.size + i] = (a, i) end_index = self.size start_index = end_index // 2 while start_index >= 1: for i in range(start_index, end_index): self.array[i] = min(self.array[2 * i], self.array[2 * i + 1]) end_index = start_index start_index = end_index // 2 def set(self, x, a): index = self.size + x self.array[index] = (a, x) while index > 1: index //= 2 self.array[index] = min(self.array[2 * index], self.array[2 * index + 1]) def get_max(self, l, r): L = self.size + l; R = self.size + r # 2. 区間[l, r)の最大値を求める s = (MAX_INT, -1) while L < R: if R & 1: R -= 1 s = min(s, self.array[R]) if L & 1: s = min(s, self.array[L]) L += 1 L >>= 1; R >>= 1 return s def main(): N = int(input()) P = list(map(int, input().split())) # 株の保持数を管理するセグメント木 lazy_seg_tree = LazySegmentTree([0] * N) # 価格を管理するセグメント木 seg_tree = SegmentTree(P) p_array = [(i, p) for i, p in enumerate(P)] p_array.sort(key=lambda x: x[1], reverse=True) answer = 0 for i, p in p_array: v, max_range = lazy_seg_tree.get_max(i, N) if v < 0: max_range = N - 1 s, j = seg_tree.get_max(0, max_range + 1) if s < p: seg_tree.set(j, MAX_INT) seg_tree.set(i, MAX_INT) answer += p - s if i < j: lazy_seg_tree.add(i, j, -1) else: lazy_seg_tree.add(j, i, +1) print(answer) if __name__ == "__main__": main()
ConDefects/ConDefects/Code/abc250_g/Python/51402169
condefects-python_data_1826
from heapq import heappush,heappop n = int(input()) P = list(map(int,input().split())) ans = 0 cand_heapq = [] selled_heapq = [] for p in P: s1 = -1 s2 = -1 if cand_heapq and cand_heapq[0] < p: s1 = p-cand_heapq[0] elif selled_heapq and selled_heapq[0] < p: s2 = p-selled_heapq[0] if s1 == s2 == -1: heappush(cand_heapq,p) continue if s1 >= s2: ans += p-heappop(cand_heapq) heappush(selled_heapq,p) else: s = heappop(selled_heapq) ans += p-s heappush(cand_heapq,s) heappush(selled_heapq,p) print(ans) from heapq import heappush,heappop n = int(input()) P = list(map(int,input().split())) ans = 0 cand_heapq = [] selled_heapq = [] for p in P: s1 = -1 s2 = -1 if cand_heapq and cand_heapq[0] < p: s1 = p-cand_heapq[0] if selled_heapq and selled_heapq[0] < p: s2 = p-selled_heapq[0] if s1 == s2 == -1: heappush(cand_heapq,p) continue if s1 >= s2: ans += p-heappop(cand_heapq) heappush(selled_heapq,p) else: s = heappop(selled_heapq) ans += p-s heappush(cand_heapq,s) heappush(selled_heapq,p) print(ans)
ConDefects/ConDefects/Code/abc250_g/Python/31608048
condefects-python_data_1827
from heapq import * n = int(input()) p = list(map(int, input().split())) ans = 0 q = [] for v in p: if q and p[0] < v: ans += v - heappop(q) heappush(q, v) heappush(q, v) print(ans) from heapq import * n = int(input()) p = list(map(int, input().split())) ans = 0 q = [] for v in p: if q and q[0] < v: ans += v - heappop(q) heappush(q, v) heappush(q, v) print(ans)
ConDefects/ConDefects/Code/abc250_g/Python/36759156
condefects-python_data_1828
s = input() r = s[::-1] if s.find('B') % 2 == r.find('B') % 2: if s.find('R') < s.find('K') < 8 - s.find('R') + 1: print('Yes') exit() print('No') s = input() r = s[::-1] if s.find('B') % 2 == r.find('B') % 2: if s.find('R') < s.find('K') < 8 - r.find('R') + 1: print('Yes') exit() print('No')
ConDefects/ConDefects/Code/abc297_b/Python/46013217
condefects-python_data_1829
def main(): s = input() slist = list(s) if not "K" in s.split("R")[1]: print("No") return firstB = s.index("B") secondB = s.rindex("B") if firstB+secondB % 2 == 0: print("No") return print("Yes") if __name__ == "__main__": main() def main(): s = input() slist = list(s) if not "K" in s.split("R")[1]: print("No") return firstB = s.index("B") secondB = s.rindex("B") if (secondB-firstB) % 2 == 0: print("No") return print("Yes") if __name__ == "__main__": main()
ConDefects/ConDefects/Code/abc297_b/Python/45489946
condefects-python_data_1830
S = input() K = S.find('K') B1 = S.find('B') B2 = S.rfind('B') R1 = S.find('R') R2 = S.rfind('R') if B1+B2 % 2 != 0 and R1 < K < R2: print('Yes') else: print('No') S = input() K = S.find('K') B1 = S.find('B') B2 = S.rfind('B') R1 = S.find('R') R2 = S.rfind('R') if ((B1+B2) % 2) != 0 and (R1 < K < R2): print('Yes') else: print('No')
ConDefects/ConDefects/Code/abc297_b/Python/45577916
condefects-python_data_1831
n,m,k,s,t,x = map(int, input().split()) uvl = [list(map(int, input().split())) for _ in range(m)] mod = 998244353 from collections import defaultdict gd = defaultdict(set) for u,v in uvl: gd[u-1].add(v-1) gd[v-1].add(u-1) dp = [[[0] * 2 for i in range(n)] for j in range(k+1)] dp[0][s-1][0] = 1 for i in range(1,k+1): for u, vs in gd.items(): for v in vs: if v == x-1: dp[i][v][0] += dp[i-1][u][1]%mod dp[i][v][1] += dp[i-1][u][0]%mod else: dp[i][v][0] += dp[i-1][u][0]%mod dp[i][v][1] += dp[i-1][u][1]%mod print(dp[k][t-1][0]) n,m,k,s,t,x = map(int, input().split()) uvl = [list(map(int, input().split())) for _ in range(m)] mod = 998244353 from collections import defaultdict gd = defaultdict(set) for u,v in uvl: gd[u-1].add(v-1) gd[v-1].add(u-1) dp = [[[0] * 2 for i in range(n)] for j in range(k+1)] dp[0][s-1][0] = 1 for i in range(1,k+1): for u, vs in gd.items(): for v in vs: if v == x-1: dp[i][v][0] += dp[i-1][u][1]%mod dp[i][v][1] += dp[i-1][u][0]%mod else: dp[i][v][0] += dp[i-1][u][0]%mod dp[i][v][1] += dp[i-1][u][1]%mod print(dp[k][t-1][0]%mod)
ConDefects/ConDefects/Code/abc244_e/Python/45970204
condefects-python_data_1832
class Input_kyopro: def II(self): return int(input()) def MI(self): return map( int,input().split()) def MS(self): return map(str,input().split()) def LMI(self): return list(self.MI()) def LMS(self): return list(self.MS()) def LLI(self,N): return [self.LMI() for _ in range(N)] def LLS(self,N): return [self.LMS() for _ in range(N)] def LS(self,N): return [input() for _ in range(N)] def LSL(self,N): return [list(input()) for _ in range(N)] def LI(self,N): return [self.II() for _ in range(N)] I=Input_kyopro() #入力 from collections import deque H,W,T=I.MI() a=I.LSL(H) dx=[1,0,-1,0] dy=[0,1,0,-1] start=[0,0] g=[0,0] ls=[] for i in range(H): for j in range(W): if a[i][j]=='S': s=[i,j] if a[i][j]=='G': g=[i,j] if a[i][j]=='o': ls.append([i,j]) cnt=len(ls) d=[[[0]*W for _ in range(H)] for _ in range(cnt)] def dist(i,j): res=[[float('inf')]*W for _ in range(H)] res[i][j]=0 q=deque() q.append([i,j]) while q: i,j=q.popleft() for k in range(4): if 0<=i+dx[k]<H and 0<=j+dy[k]<W: if res[i+dx[k]][j+dy[k]]!=float('inf') or a[i+dx[k]][j+dy[k]]=='#': continue res[i+dx[k]][j+dy[k]]=res[i][j]+1 q.append([i+dx[k],j+dy[k]]) return res for i in range(cnt): d[i]=dist(ls[i][0],ls[i][1]) dp=[[float('inf')]*(cnt) for _ in range(1<<cnt)] for i in range(cnt): dp[1<<i][i]=d[i][start[0]][start[1]] for s in range(1,1<<cnt): for last in range(cnt): if dp[s][last]==float('inf'): continue for nx in range(cnt): if s>>nx&1: continue dp[s|1<<nx][nx]=min(dp[s|1<<nx][nx],dp[s][last]+d[last][ls[nx][0]][ls[nx][1]]) ans=-1 if dist(start[0],start[1])[g[0]][g[1]]<=T: ans=0 for s in range(1,1<<cnt): for last in range(cnt): if dp[s][last]+d[last][g[0]][g[1]]<=T: now=0 for i in range(cnt): if s>>i&1: now+=1 ans=max(ans,now) print(ans) class Input_kyopro: def II(self): return int(input()) def MI(self): return map( int,input().split()) def MS(self): return map(str,input().split()) def LMI(self): return list(self.MI()) def LMS(self): return list(self.MS()) def LLI(self,N): return [self.LMI() for _ in range(N)] def LLS(self,N): return [self.LMS() for _ in range(N)] def LS(self,N): return [input() for _ in range(N)] def LSL(self,N): return [list(input()) for _ in range(N)] def LI(self,N): return [self.II() for _ in range(N)] I=Input_kyopro() #入力 from collections import deque H,W,T=I.MI() a=I.LSL(H) dx=[1,0,-1,0] dy=[0,1,0,-1] start=[0,0] g=[0,0] ls=[] for i in range(H): for j in range(W): if a[i][j]=='S': start=[i,j] if a[i][j]=='G': g=[i,j] if a[i][j]=='o': ls.append([i,j]) cnt=len(ls) d=[[[0]*W for _ in range(H)] for _ in range(cnt)] def dist(i,j): res=[[float('inf')]*W for _ in range(H)] res[i][j]=0 q=deque() q.append([i,j]) while q: i,j=q.popleft() for k in range(4): if 0<=i+dx[k]<H and 0<=j+dy[k]<W: if res[i+dx[k]][j+dy[k]]!=float('inf') or a[i+dx[k]][j+dy[k]]=='#': continue res[i+dx[k]][j+dy[k]]=res[i][j]+1 q.append([i+dx[k],j+dy[k]]) return res for i in range(cnt): d[i]=dist(ls[i][0],ls[i][1]) dp=[[float('inf')]*(cnt) for _ in range(1<<cnt)] for i in range(cnt): dp[1<<i][i]=d[i][start[0]][start[1]] for s in range(1,1<<cnt): for last in range(cnt): if dp[s][last]==float('inf'): continue for nx in range(cnt): if s>>nx&1: continue dp[s|1<<nx][nx]=min(dp[s|1<<nx][nx],dp[s][last]+d[last][ls[nx][0]][ls[nx][1]]) ans=-1 if dist(start[0],start[1])[g[0]][g[1]]<=T: ans=0 for s in range(1,1<<cnt): for last in range(cnt): if dp[s][last]+d[last][g[0]][g[1]]<=T: now=0 for i in range(cnt): if s>>i&1: now+=1 ans=max(ans,now) print(ans)
ConDefects/ConDefects/Code/abc301_e/Python/45949713
condefects-python_data_1833
s = list(input()) t = list(input()) ans = [] idx = 0 for i in range(len(s)): for j in range(idx, len(t)): print(i,j) if s[i] == t[j]: print("A") ans.append(j+1) idx = j+1 break print(*ans) s = list(input()) t = list(input()) ans = [] idx = 0 for i in range(len(s)): for j in range(idx, len(t)): if s[i] == t[j]: ans.append(j+1) idx = j+1 break print(*ans)
ConDefects/ConDefects/Code/abc352_b/Python/54958483
condefects-python_data_1834
S = str(input()) T = str(input()) a = 0 b = [] c = [] for i in range(len(T)): if S[a] == T[i]: b.append(i+1) a+=1 else: pass c.append(b) print(c[0]) S = str(input()) T = str(input()) a = 0 b = [] c = [] for i in range(len(T)): if S[a] == T[i]: b.append(i+1) a+=1 else: pass c.append(b) print(*c[0])
ConDefects/ConDefects/Code/abc352_b/Python/55135076
condefects-python_data_1835
s = input() s2 = input() x = 0 l = [] while len(l) != len(s): for i in range(len(s)): for j in range(x, len(s2)): if s[i] == s2[j]: l.append(j + 1) x = j break print(*l) s = input() s2 = input() x = 0 l = [] while len(l) != len(s): for i in range(len(s)): for j in range(x, len(s2)): if s[i] == s2[j]: l.append(j + 1) x = j + 1 break print(*l)
ConDefects/ConDefects/Code/abc352_b/Python/55031255
condefects-python_data_1836
S = input() if len(set(S)) == 1: print(-1) elif len(set(S)) == 3: print(list(S)[0]) elif len(set(S)) == 2: S = list(S) s = S.count(S[0]) if s == 1: print(S[0]) else: print(S[1]) S = input() if len(set(S)) == 1: print(-1) elif len(set(S)) == 3: print(list(S)[0]) elif len(set(S)) == 2: S = list(S) s = S.count(S[0]) if s == 1: print(S[0]) elif S[0] == S[1]: print(S[2]) else: print(S[1])
ConDefects/ConDefects/Code/abc260_a/Python/45791402
condefects-python_data_1837
S = input() for i in range(2): if S.count(S[i]) == 1: exit(print(S[i])) print(-1) S = input() for i in range(3): if S.count(S[i]) == 1: exit(print(S[i])) print(-1)
ConDefects/ConDefects/Code/abc260_a/Python/45479937
condefects-python_data_1838
N, M, K = list(map(int, input().split())) C = [] A = [] X = [] for _ in range(M): buf = input().split() C.append(int(buf[0])) A.append(list(map(int, buf[1:-1]))) X.append(buf[-1]) ans = 0 for bit in range(1, 1<<N): flg = True for i in range(M): cnt = 0 for j in range(C[i]): if (bit >> (A[i][j] - 1)) & 0b1: cnt += 1 if cnt >= K and X[i] == "o": continue if cnt < K and X[i] == "x": continue break else: ans += 1 print(ans) N, M, K = list(map(int, input().split())) C = [] A = [] X = [] for _ in range(M): buf = input().split() C.append(int(buf[0])) A.append(list(map(int, buf[1:-1]))) X.append(buf[-1]) ans = 0 for bit in range(1<<N): flg = True for i in range(M): cnt = 0 for j in range(C[i]): if (bit >> (A[i][j] - 1)) & 0b1: cnt += 1 if cnt >= K and X[i] == "o": continue if cnt < K and X[i] == "x": continue break else: ans += 1 print(ans)
ConDefects/ConDefects/Code/abc356_c/Python/55144138
condefects-python_data_1839
def main(): n, m, k = map(int, input().split()) Tests = [] for _ in range(m): _, *A, r = input().split() A = list(map(int, A)) Tests.append((A, r)) ans = 0 for i in range(2**n): ok = True if i.bit_count() < k: continue for test in Tests: A, r = test trueKey = 0 for a in A: trueKey += (i >> (a - 1)) & 1 if r == "o": ok &= k <= trueKey else: ok &= trueKey < k if ok: ans += 1 print(ans) if __name__ == "__main__": main() def main(): n, m, k = map(int, input().split()) Tests = [] for _ in range(m): _, *A, r = input().split() A = list(map(int, A)) Tests.append((A, r)) ans = 0 for i in range(2**n): ok = True for test in Tests: A, r = test trueKey = 0 for a in A: trueKey += (i >> (a - 1)) & 1 if r == "o": ok &= k <= trueKey else: ok &= trueKey < k if ok: ans += 1 print(ans) if __name__ == "__main__": main()
ConDefects/ConDefects/Code/abc356_c/Python/54920982
condefects-python_data_1840
N,M,K = map(int,input().split()) C_List = [] A_list_list = [] R_list = [] for _ in range(M): tmp = list(input().split()) C_List.append(int(tmp[0])) R_list.append(tmp[-1]) tmp_a = tmp[1:-1] tmp_a = list(map(int,tmp_a)) A_list_list.append(tmp_a) ret = 0 for i in range(2**N + 1): for A_list,r in zip(A_list_list,R_list): tmp = 0 for a in A_list: a = a-1 if(i & 2**a): tmp = tmp + 1 if(((tmp >= K) and (r == "o")) or ((tmp < K) and (r == "x"))): pass else: break else: ret = ret + 1 print(ret) N,M,K = map(int,input().split()) C_List = [] A_list_list = [] R_list = [] for _ in range(M): tmp = list(input().split()) C_List.append(int(tmp[0])) R_list.append(tmp[-1]) tmp_a = tmp[1:-1] tmp_a = list(map(int,tmp_a)) A_list_list.append(tmp_a) ret = 0 for i in range(2**N): for A_list,r in zip(A_list_list,R_list): tmp = 0 for a in A_list: a = a-1 if(i & 2**a): tmp = tmp + 1 if(((tmp >= K) and (r == "o")) or ((tmp < K) and (r == "x"))): pass else: break else: ret = ret + 1 print(ret)
ConDefects/ConDefects/Code/abc356_c/Python/54900882
condefects-python_data_1841
n,m,k=map(int,input().split()) C=[0 for _ in range(m)] A=[[0 for _ in range(n)] for _ in range(m)] R=[False for _ in range(m)] for i in range(m): X=list(map(str, input().split())) C[i]=int(X[0]) r=X[-1] if r=="o": R[i]=True xx=[int(X[j]) for j in range(1,C[i]+1)] for j in range(n): if j+1 in xx: A[i][j]=1 s=0 for i in range(1,2**n): key=[0 for _ in range(n)] bi=bin(i)[2:] for j in range(len(bi)): key[j]=int(bi[-j-1]) judge=True for ii in range(m): keysum=sum([A[ii][j]*key[j] for j in range(n)]) if (keysum>=k)!=R[ii]: judge=False break if judge: s+=1 print(s) n,m,k=map(int,input().split()) C=[0 for _ in range(m)] A=[[0 for _ in range(n)] for _ in range(m)] R=[False for _ in range(m)] for i in range(m): X=list(map(str, input().split())) C[i]=int(X[0]) r=X[-1] if r=="o": R[i]=True xx=[int(X[j]) for j in range(1,C[i]+1)] for j in range(n): if j+1 in xx: A[i][j]=1 s=0 for i in range(2**n): key=[0 for _ in range(n)] bi=bin(i)[2:] for j in range(len(bi)): key[j]=int(bi[-j-1]) judge=True for ii in range(m): keysum=sum([A[ii][j]*key[j] for j in range(n)]) if (keysum>=k)!=R[ii]: judge=False break if judge: s+=1 print(s)
ConDefects/ConDefects/Code/abc356_c/Python/54940782
condefects-python_data_1842
import sys # sys.setrecursionlimit(200005) # sys.set_int_max_str_digits(200005) int1 = lambda x: int(x)-1 pDB = lambda *x: print(*x, end="\n", file=sys.stderr) p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr) def II(): return int(sys.stdin.readline()) def LI(): return list(map(int, sys.stdin.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def LI1(): return list(map(int1, sys.stdin.readline().split())) def LLI1(rows_number): return [LI1() for _ in range(rows_number)] def SI(): return sys.stdin.readline().rstrip() dij = [(0, 1), (-1, 0), (0, -1), (1, 0)] # dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)] inf = -1-(-1 << 63) md = 10**9+7 # md = 998244353 from math import gcd # 各強連結成分をリストにしてトポロジカル順に返す def SCC(to, ot): n = len(to) # トポロジカルソート fin = [-1]*n topo = [] for u in range(n): if fin[u] != -1: continue stack = [u] while stack: u = stack[-1] if fin[u] == -1: fin[u] = 0 for v in to[u]: if fin[v] != -1: continue stack.append(v) else: stack.pop() if fin[u] == 0: fin[u] = 1 topo.append(u) # 逆辺でdfs res = [] while topo: u = topo.pop() if fin[u] != 1: continue fin[u] = 2 cur = [u] i = 0 while i < len(cur): u = cur[i] for v in ot[u]: if fin[v] == 2: continue fin[v] = 2 cur.append(v) i += 1 res.append(cur) return res def solve(): def dfs(root=0): st = [root] while st: u = st.pop() for v in to[u]: if dead[v]: continue if depth[v] == -1: depth[v] = depth[u]+1 st.append(v) else: back.append((u, v)) n, m = LI() to = [[] for _ in range(n)] ot = [[] for _ in range(n)] for _ in range(m): u, v = LI1() to[u].append(v) ot[v].append(u) gg = SCC(to, ot) dead = [1]*n for g in gg: if 0 in g: for u in g: dead[u] = 0 break depth = [-1]*n depth[0] = 0 back = [] dfs() g = 0 for u, v in back: g = gcd(g, abs(depth[u]+1-depth[v])) if g==0: print("No") exit() while g%5 == 0: g //= 5 print("Yes" if g == g & -g else "No") for _ in range(II()): solve() import sys # sys.setrecursionlimit(200005) # sys.set_int_max_str_digits(200005) int1 = lambda x: int(x)-1 pDB = lambda *x: print(*x, end="\n", file=sys.stderr) p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr) def II(): return int(sys.stdin.readline()) def LI(): return list(map(int, sys.stdin.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def LI1(): return list(map(int1, sys.stdin.readline().split())) def LLI1(rows_number): return [LI1() for _ in range(rows_number)] def SI(): return sys.stdin.readline().rstrip() dij = [(0, 1), (-1, 0), (0, -1), (1, 0)] # dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)] inf = -1-(-1 << 63) md = 10**9+7 # md = 998244353 from math import gcd # 各強連結成分をリストにしてトポロジカル順に返す def SCC(to, ot): n = len(to) # トポロジカルソート fin = [-1]*n topo = [] for u in range(n): if fin[u] != -1: continue stack = [u] while stack: u = stack[-1] if fin[u] == -1: fin[u] = 0 for v in to[u]: if fin[v] != -1: continue stack.append(v) else: stack.pop() if fin[u] == 0: fin[u] = 1 topo.append(u) # 逆辺でdfs res = [] while topo: u = topo.pop() if fin[u] != 1: continue fin[u] = 2 cur = [u] i = 0 while i < len(cur): u = cur[i] for v in ot[u]: if fin[v] == 2: continue fin[v] = 2 cur.append(v) i += 1 res.append(cur) return res def solve(): def dfs(root=0): st = [root] while st: u = st.pop() for v in to[u]: if dead[v]: continue if depth[v] == -1: depth[v] = depth[u]+1 st.append(v) else: back.append((u, v)) n, m = LI() to = [[] for _ in range(n)] ot = [[] for _ in range(n)] for _ in range(m): u, v = LI1() to[u].append(v) ot[v].append(u) gg = SCC(to, ot) dead = [1]*n for g in gg: if 0 in g: for u in g: dead[u] = 0 break depth = [-1]*n depth[0] = 0 back = [] dfs() g = 0 for u, v in back: g = gcd(g, abs(depth[u]+1-depth[v])) if g==0: print("No") return while g%5 == 0: g //= 5 print("Yes" if g == g & -g else "No") for _ in range(II()): solve()
ConDefects/ConDefects/Code/abc306_g/Python/45483518
condefects-python_data_1843
N=int(input()) A=list(map(int,input().split())) cnt=[0]*4 for Ai in A: cnt[Ai-1]+=1 mat=[[0]*4 for _ in range(4)] now=0 for Ai in A: if cnt[now]==0: now+=1 mat[now][Ai-1]+=1 cnt[now]-=1 ans=0 for i in range(4): mat[i][i]=0 for j in range(i): m=min(mat[i][j],mat[j][i]) ans+=m mat[i][j]-=m ; mat[j][i]-=m li=[(0,1,2),(1,2,3),(2,3,0),(3,0,1),(0,3,2),(1,0,3),(2,1,0),(3,2,1)] while True: m=-1 ; idx=-1 for t,(i,j,k) in enumerate(li): if min(mat[i][j],mat[j][k],mat[k][i])>m: m=min(mat[i][j],mat[j][k],mat[k][i]) ; idx=t if not m: break ans+=2 i,j,k=li[idx] mat[i][j],mat[j][k],mat[k][i]=mat[i][j]-1,mat[j][k]-1,mat[k][i]-1 S=0 for i in range(4): for j in range(4): S+=mat[i][j] ans+=3*S//4 print(ans) N=int(input()) A=list(map(int,input().split())) cnt=[0]*4 for Ai in A: cnt[Ai-1]+=1 mat=[[0]*4 for _ in range(4)] now=0 for Ai in A: while cnt[now]==0: now+=1 mat[now][Ai-1]+=1 cnt[now]-=1 ans=0 for i in range(4): mat[i][i]=0 for j in range(i): m=min(mat[i][j],mat[j][i]) ans+=m mat[i][j]-=m ; mat[j][i]-=m li=[(0,1,2),(1,2,3),(2,3,0),(3,0,1),(0,3,2),(1,0,3),(2,1,0),(3,2,1)] while True: m=-1 ; idx=-1 for t,(i,j,k) in enumerate(li): if min(mat[i][j],mat[j][k],mat[k][i])>m: m=min(mat[i][j],mat[j][k],mat[k][i]) ; idx=t if not m: break ans+=2 i,j,k=li[idx] mat[i][j],mat[j][k],mat[k][i]=mat[i][j]-1,mat[j][k]-1,mat[k][i]-1 S=0 for i in range(4): for j in range(4): S+=mat[i][j] ans+=3*S//4 print(ans)
ConDefects/ConDefects/Code/abc302_g/Python/41709058
condefects-python_data_1844
from itertools import * N=int(input()) A=list(map(int, input().split())) A=[a-1 for a in A] B=list(sorted(A)) L=4 C=[0]*(L**2) for a,b in zip(A,B): if a!=b: C[a*L+b]+=1 res=0 for p in permutations(range(4),2): x,y=p cnt=min(C[x*L+y],C[y*L+x]) C[x*L+y]-=cnt C[y*L+x]-=cnt res+=cnt for p in combinations(range(4),3): x,y,z=p cnt=min(C[x*L+y],C[y*L+z],C[z*L+x]) C[x*L+y]-=cnt C[y*L+z]-=cnt C[z*L+x]-=cnt res+=cnt*2 res+=(sum(C)*3)//4 print(res) from itertools import * N=int(input()) A=list(map(int, input().split())) A=[a-1 for a in A] B=list(sorted(A)) L=4 C=[0]*(L**2) for a,b in zip(A,B): if a!=b: C[a*L+b]+=1 res=0 for p in permutations(range(4),2): x,y=p cnt=min(C[x*L+y],C[y*L+x]) C[x*L+y]-=cnt C[y*L+x]-=cnt res+=cnt for p in permutations(range(4),3): x,y,z=p cnt=min(C[x*L+y],C[y*L+z],C[z*L+x]) C[x*L+y]-=cnt C[y*L+z]-=cnt C[z*L+x]-=cnt res+=cnt*2 res+=(sum(C)*3)//4 print(res)
ConDefects/ConDefects/Code/abc302_g/Python/41887698
condefects-python_data_1845
import sys read=sys.stdin.buffer.read;readline=sys.stdin.buffer.readline;input=lambda:sys.stdin.readline().rstrip() import bisect,string,math,time,functools,random,fractions from bisect import* from heapq import heappush,heappop,heapify from collections import deque,defaultdict,Counter from itertools import permutations,combinations,groupby import itertools rep=range;R=range def I():return int(input()) def LI():return [int(i) for i in input().split()] def SLI():return sorted([int(i) for i in input().split()]) def LI_():return [int(i)-1 for i in input().split()] def S_():return input() def IS():return input().split() def LS():return [i for i in input().split()] def NI(n):return [int(input()) for i in range(n)] def NI_(n):return [int(input())-1 for i in range(n)] def NLI(n):return [[int(i) for i in input().split()] for i in range(n)] def NLI_(n):return [[int(i)-1 for i in input().split()] for i in range(n)] def StoLI():return [ord(i)-97 for i in input()] def ItoS(n):return chr(n+97) def LtoS(ls):return ''.join([chr(i+97) for i in ls]) def RLI(n=8,a=1,b=10):return [random.randint(a,b)for i in range(n)] def RI(a=1,b=10):return random.randint(a,b) def GI(V,E,ls=None,Directed=False,index=1): org_inp=[];g=[[] for i in range(V)] FromStdin=True if ls==None else False for i in range(E): if FromStdin: inp=LI() org_inp.append(inp) else: inp=ls[i] if len(inp)==2:a,b=inp;c=1 else:a,b,c=inp if index==1:a-=1;b-=1 aa=a,c,;bb=b,c,;g[a].append(bb) if not Directed:g[b].append(aa) return g,org_inp def RE(E): rt=[[]for i in range(len(E))] for i in range(len(E)): for nb,d in E[i]: rt[nb]+=(i,d), return rt def RLE(it): rt=[] for i in it: if rt and rt[-1][0]==i:rt[-1][1]+=1 else:rt+=[i,1], return rt def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0},boundary=1): #h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0},boundary=1) # sample usage mp=[boundary]*(w+2);found={} for i in R(h): s=input() for char in search: if char in s: found[char]=((i+1)*(w+2)+s.index(char)+1) mp_def[char]=mp_def[replacement_of_found] mp+=[boundary]+[mp_def[j] for j in s]+[boundary] mp+=[boundary]*(w+2) return h+2,w+2,mp,found def TI(n):return GI(n,n-1) def accum(ls): rt=[0] for i in ls:rt+=[rt[-1]+i] return rt def bit_combination(n,base=2): rt=[] for tb in R(base**n):s=[tb//(base**bt)%base for bt in R(n)];rt+=[s] return rt def gcd(x,y): if y==0:return x if x%y==0:return y while x%y!=0:x,y=y,x%y return y def YN(x):print(['NO','YES'][x]) def Yn(x):print(['No','Yes'][x]) def show(*inp,end='\n'): if show_flg:print(*inp,end=end) inf=float('inf') FourNb=[(-1,0),(1,0),(0,1),(0,-1)];EightNb=[(-1,0),(1,0),(0,1),(0,-1),(1,1),(-1,-1),(1,-1),(-1,1)];compas=dict(zip('WENS',FourNb));cursol=dict(zip('UDRL',FourNb));HexNb=[(-1,0),(-1,-1),(0,1),(0,-1),(1,1),(1,0)] alp=[chr(ord('a')+i)for i in range(26)] #sys.setrecursionlimit(10**7) def gcj(t,*a): print('Case #{}:'.format(t+1),*a) def INP(): N=80 n=random.randint(1,N) x=random.randint(1,N) n,d=RLI(2,1,10) k=RI(1,n) return n,d,k def Rtest(T): case,err=0,0 for i in range(T): inp=INP() #show(inp) a1=naive(*inp) a2=solve(*inp) if a1!=a2: print(inp) n,d,k=inp #a,b=bin(n)[2:],bin(x)[2:] show(n,d,k) print('naive',a1) print('solve',a2) err+=1 case+=1 print('Tested',case,'case with',err,'errors') def graph(): g=[[]for i in range(n)] for i in range(m): u,v=LI() g[u]+=v, g[v]+=u, mo=998244353 #mo=10**9+7 show_flg=False show_flg=True ans=0 n=I() a=LI_() n=8 a=RLI(n,0,3) b=sorted(a) d=defaultdict(int) for i in range(n): if a[i]==b[i]: continue d[(a[i],b[i])]+=1 p=[] for i in range(4): for j in range(i+1,4): p+=(i,j,j,i), q=[] for i in range(4): for j in range(4): if i==j: continue for k in range(4): for l in range(4): if k==l: continue if k!=j and i!=l: continue if (i,j)==(k,l): continue if (i,j)==(l,k): continue q+=(i,j,k,l), for _ in range(n): f=False for i,j,k,l in p: x,y=d[(i,j)],d[(k,l)] if x==0 or y==0: continue f=True d[(i,j)]-=1 d[(k,l)]-=1 ans+=1 break if f: continue for i,j,k,l in q: x,y=d[(i,j)],d[(k,l)] if x==0 or y==0: continue f=True d[(i,j)]-=1 d[(k,l)]-=1 if i==l: d[(k,j)]+=1 elif k==j: d[(i,l)]+=1 ans+=1 break print(ans) import sys read=sys.stdin.buffer.read;readline=sys.stdin.buffer.readline;input=lambda:sys.stdin.readline().rstrip() import bisect,string,math,time,functools,random,fractions from bisect import* from heapq import heappush,heappop,heapify from collections import deque,defaultdict,Counter from itertools import permutations,combinations,groupby import itertools rep=range;R=range def I():return int(input()) def LI():return [int(i) for i in input().split()] def SLI():return sorted([int(i) for i in input().split()]) def LI_():return [int(i)-1 for i in input().split()] def S_():return input() def IS():return input().split() def LS():return [i for i in input().split()] def NI(n):return [int(input()) for i in range(n)] def NI_(n):return [int(input())-1 for i in range(n)] def NLI(n):return [[int(i) for i in input().split()] for i in range(n)] def NLI_(n):return [[int(i)-1 for i in input().split()] for i in range(n)] def StoLI():return [ord(i)-97 for i in input()] def ItoS(n):return chr(n+97) def LtoS(ls):return ''.join([chr(i+97) for i in ls]) def RLI(n=8,a=1,b=10):return [random.randint(a,b)for i in range(n)] def RI(a=1,b=10):return random.randint(a,b) def GI(V,E,ls=None,Directed=False,index=1): org_inp=[];g=[[] for i in range(V)] FromStdin=True if ls==None else False for i in range(E): if FromStdin: inp=LI() org_inp.append(inp) else: inp=ls[i] if len(inp)==2:a,b=inp;c=1 else:a,b,c=inp if index==1:a-=1;b-=1 aa=a,c,;bb=b,c,;g[a].append(bb) if not Directed:g[b].append(aa) return g,org_inp def RE(E): rt=[[]for i in range(len(E))] for i in range(len(E)): for nb,d in E[i]: rt[nb]+=(i,d), return rt def RLE(it): rt=[] for i in it: if rt and rt[-1][0]==i:rt[-1][1]+=1 else:rt+=[i,1], return rt def GGI(h,w,search=None,replacement_of_found='.',mp_def={'#':1,'.':0},boundary=1): #h,w,g,sg=GGI(h,w,search=['S','G'],replacement_of_found='.',mp_def={'#':1,'.':0},boundary=1) # sample usage mp=[boundary]*(w+2);found={} for i in R(h): s=input() for char in search: if char in s: found[char]=((i+1)*(w+2)+s.index(char)+1) mp_def[char]=mp_def[replacement_of_found] mp+=[boundary]+[mp_def[j] for j in s]+[boundary] mp+=[boundary]*(w+2) return h+2,w+2,mp,found def TI(n):return GI(n,n-1) def accum(ls): rt=[0] for i in ls:rt+=[rt[-1]+i] return rt def bit_combination(n,base=2): rt=[] for tb in R(base**n):s=[tb//(base**bt)%base for bt in R(n)];rt+=[s] return rt def gcd(x,y): if y==0:return x if x%y==0:return y while x%y!=0:x,y=y,x%y return y def YN(x):print(['NO','YES'][x]) def Yn(x):print(['No','Yes'][x]) def show(*inp,end='\n'): if show_flg:print(*inp,end=end) inf=float('inf') FourNb=[(-1,0),(1,0),(0,1),(0,-1)];EightNb=[(-1,0),(1,0),(0,1),(0,-1),(1,1),(-1,-1),(1,-1),(-1,1)];compas=dict(zip('WENS',FourNb));cursol=dict(zip('UDRL',FourNb));HexNb=[(-1,0),(-1,-1),(0,1),(0,-1),(1,1),(1,0)] alp=[chr(ord('a')+i)for i in range(26)] #sys.setrecursionlimit(10**7) def gcj(t,*a): print('Case #{}:'.format(t+1),*a) def INP(): N=80 n=random.randint(1,N) x=random.randint(1,N) n,d=RLI(2,1,10) k=RI(1,n) return n,d,k def Rtest(T): case,err=0,0 for i in range(T): inp=INP() #show(inp) a1=naive(*inp) a2=solve(*inp) if a1!=a2: print(inp) n,d,k=inp #a,b=bin(n)[2:],bin(x)[2:] show(n,d,k) print('naive',a1) print('solve',a2) err+=1 case+=1 print('Tested',case,'case with',err,'errors') def graph(): g=[[]for i in range(n)] for i in range(m): u,v=LI() g[u]+=v, g[v]+=u, mo=998244353 #mo=10**9+7 show_flg=False show_flg=True ans=0 n=I() a=LI_() b=sorted(a) d=defaultdict(int) for i in range(n): if a[i]==b[i]: continue d[(a[i],b[i])]+=1 p=[] for i in range(4): for j in range(i+1,4): p+=(i,j,j,i), q=[] for i in range(4): for j in range(4): if i==j: continue for k in range(4): for l in range(4): if k==l: continue if k!=j and i!=l: continue if (i,j)==(k,l): continue if (i,j)==(l,k): continue q+=(i,j,k,l), for _ in range(n): f=False for i,j,k,l in p: x,y=d[(i,j)],d[(k,l)] if x==0 or y==0: continue f=True d[(i,j)]-=1 d[(k,l)]-=1 ans+=1 break if f: continue for i,j,k,l in q: x,y=d[(i,j)],d[(k,l)] if x==0 or y==0: continue f=True d[(i,j)]-=1 d[(k,l)]-=1 if i==l: d[(k,j)]+=1 elif k==j: d[(i,l)]+=1 ans+=1 break print(ans)
ConDefects/ConDefects/Code/abc302_g/Python/41876580
condefects-python_data_1846
N = int(input()) S = str(1) if N == 1: print(S) for i in range(2, N+1): S = S +" "+ str(i) + " " + S print(S) N = int(input()) S = str(1) if N == 1: exit(print(S)) for i in range(2, N+1): S = S +" "+ str(i) + " " + S print(S)
ConDefects/ConDefects/Code/abc247_c/Python/45240043
condefects-python_data_1847
li = [] def write(n): if n == 1: return [1] else: return write(n-1) + [n] + write(n-1) n = int(input()) write(n) li = [] def write(n): if n == 1: return [1] else: return write(n-1) + [n] + write(n-1) n = int(input()) print(*write(n))
ConDefects/ConDefects/Code/abc247_c/Python/45710087
condefects-python_data_1848
import sympy for n in[*open(0)][1:]:a,b=sympy.factorint(n:=int(n));print(*[b,a][::-1**(n%b**2>0)]) import sympy for n in[*open(0)][1:]:a,b=sympy.factorint(n:=int(n));print(*[b,a][::1-(n%b**2>0)*2])
ConDefects/ConDefects/Code/abc284_d/Python/45300656
condefects-python_data_1849
h,w,a,b = map(int,input().split()) def f(h,w,a,b): if a > b: return [(y,x) for x,y in f(w,h,b,a)] if h == 1: return [(0,y) for y in range(w)] if h == 2 and (a,b) == (1,1): return [(0,0),(1,0)]+[(x,y+1) for x,y in f(2,w-1,1,0)] return [(x,0) for x in range(h)]+[(h-1-x,y+1) for x,y in f(h,w-1,h-1-a,b-1)] for x,y in f(h,w,a-1,b-1): print(x+1,y+1) h,w,a,b = map(int,input().split()) def f(h,w,a,b): if (a,h) > (b,w): return [(y,x) for x,y in f(w,h,b,a)] if h == 1: return [(0,y) for y in range(w)] if h == 2 and (a,b) == (1,1): return [(0,0),(1,0)]+[(x,y+1) for x,y in f(2,w-1,1,0)] return [(x,0) for x in range(h)]+[(h-1-x,y+1) for x,y in f(h,w-1,h-1-a,b-1)] for x,y in f(h,w,a-1,b-1): print(x+1,y+1)
ConDefects/ConDefects/Code/abc232_h/Python/28052217
condefects-python_data_1850
import sys # sys.setrecursionlimit(200005) int1 = lambda x: int(x)-1 pDB = lambda *x: print(*x, end="\n", file=sys.stderr) p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr) def II(): return int(sys.stdin.readline()) def LI(): return list(map(int, sys.stdin.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def LI1(): return list(map(int1, sys.stdin.readline().split())) def LLI1(rows_number): return [LI1() for _ in range(rows_number)] def SI(): return sys.stdin.readline().rstrip() # dij = [(0, 1), (-1, 0), (0, -1), (1, 0)] # dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)] inf = 18446744073709551615 # inf = 4294967295 md = 10**9+7 # md = 998244353 def two(i0, j0, s, t): i, j = i0, j0 di = dj = 1 if i > s: di = -1 if j > t: dj = -1 l, r = i, j if l > r: l, r = r, l res = [] while l <= j <= r: res.append((i, j)) if i == i0: i += di else: i -= di j += dj return res def move(i0, j0, s, t): i, j = i0, j0 l, r = min(j0, t), max(j0, t) di = dj = 1 if i > s: di = -1 if j > t: dj = -1 res = [] if i & 1 != s & 1: res += two(i, j, s, t) if abs(i-s) == 1: return res i += di*2 j = t while l <= j <= r: res.append((i, j)) j -= dj i, j = i+di, j0 while 1: res.append((i, j)) if (i, j) == (s, t): break if l <= j+dj <= r: j += dj else: i += di dj = -dj return res h, w, a, b = LI() if a == h and b == w: ans = move(1, 1, a, b) elif a == 1 and b == w: ans = move(1, 1, h, w-1)+move(h, w, 1, w) elif a == h and b == 1: ans = move(1, 1, h-1, w)+move(h, w, h, 1) elif a == 1: ans = move(1, 1, h, b-1)+move(h, b, h, w)+move(h-1, w, a, b) elif a == h: ans = move(1, 1, h, b-1)+move(a-1, b, 1, b)+move(1, b+1, h-1, w)+move(h, w, a, b) elif b == 1: ans = move(1, 1, a-1, w)+move(a, w, h, w)+move(h, w-1, a, b) elif b == w: ans = move(1, 1, a-1, w)+move(a, w-1, a, 1)+move(a+1, 1, h, w-1)+move(h, w, a, b) else: ans = move(1, 1, a-1, w)+move(a, w, h, b+1)+move(h, b, a+1, 1)+move(a, 1, a, b) for i, j in ans: print(i, j) import sys # sys.setrecursionlimit(200005) int1 = lambda x: int(x)-1 pDB = lambda *x: print(*x, end="\n", file=sys.stderr) p2D = lambda x: print(*x, sep="\n", end="\n\n", file=sys.stderr) def II(): return int(sys.stdin.readline()) def LI(): return list(map(int, sys.stdin.readline().split())) def LLI(rows_number): return [LI() for _ in range(rows_number)] def LI1(): return list(map(int1, sys.stdin.readline().split())) def LLI1(rows_number): return [LI1() for _ in range(rows_number)] def SI(): return sys.stdin.readline().rstrip() # dij = [(0, 1), (-1, 0), (0, -1), (1, 0)] # dij = [(0, 1), (-1, 0), (0, -1), (1, 0), (1, 1), (1, -1), (-1, 1), (-1, -1)] inf = 18446744073709551615 # inf = 4294967295 md = 10**9+7 # md = 998244353 def two(i0, j0, s, t): i, j = i0, j0 di = dj = 1 if i > s: di = -1 if j > t: dj = -1 l, r = j0, t if l > r: l, r = r, l res = [] while l <= j <= r: res.append((i, j)) if i == i0: i += di else: i -= di j += dj return res def move(i0, j0, s, t): i, j = i0, j0 l, r = min(j0, t), max(j0, t) di = dj = 1 if i > s: di = -1 if j > t: dj = -1 res = [] if i & 1 != s & 1: res += two(i, j, s, t) if abs(i-s) == 1: return res i += di*2 j = t while l <= j <= r: res.append((i, j)) j -= dj i, j = i+di, j0 while 1: res.append((i, j)) if (i, j) == (s, t): break if l <= j+dj <= r: j += dj else: i += di dj = -dj return res h, w, a, b = LI() if a == h and b == w: ans = move(1, 1, a, b) elif a == 1 and b == w: ans = move(1, 1, h, w-1)+move(h, w, 1, w) elif a == h and b == 1: ans = move(1, 1, h-1, w)+move(h, w, h, 1) elif a == 1: ans = move(1, 1, h, b-1)+move(h, b, h, w)+move(h-1, w, a, b) elif a == h: ans = move(1, 1, h, b-1)+move(a-1, b, 1, b)+move(1, b+1, h-1, w)+move(h, w, a, b) elif b == 1: ans = move(1, 1, a-1, w)+move(a, w, h, w)+move(h, w-1, a, b) elif b == w: ans = move(1, 1, a-1, w)+move(a, w-1, a, 1)+move(a+1, 1, h, w-1)+move(h, w, a, b) else: ans = move(1, 1, a-1, w)+move(a, w, h, b+1)+move(h, b, a+1, 1)+move(a, 1, a, b) for i, j in ans: print(i, j)
ConDefects/ConDefects/Code/abc232_h/Python/28235852
condefects-python_data_1851
a=[*map(int, input().split())] a[a[a[0]]] a=[*map(int, input().split())] print(a[a[a[0]]])
ConDefects/ConDefects/Code/abc241_a/Python/46045206
condefects-python_data_1852
from bisect import bisect_left tri = [(i * i - i) // 2 for i in range(2000)] N = int(input()) vals = [] for i in range(7): u = bisect_left(tri, N + 1) - 1 print(N, u, tri[u]) vals.extend([i] * u) N -= tri[u] assert N == 0 assert vals[0] == 0 curr = vals.pop(0) out = [] mult = 1 for v in vals: #curr *= 10 u = 7 - ((mult * (curr - v)) % 7) out.append(u) mult *= 5 mult %= 7 curr = v print(''.join(map(str,out[::-1]))) from bisect import bisect_left tri = [(i * i - i) // 2 for i in range(2000)] N = int(input()) vals = [] for i in range(7): u = bisect_left(tri, N + 1) - 1 #print(N, u, tri[u]) vals.extend([i] * u) N -= tri[u] assert N == 0 assert vals[0] == 0 curr = vals.pop(0) out = [] mult = 1 for v in vals: #curr *= 10 u = 7 - ((mult * (curr - v)) % 7) out.append(u) mult *= 5 mult %= 7 curr = v print(''.join(map(str,out[::-1])))
ConDefects/ConDefects/Code/arc129_c/Python/43964198
condefects-python_data_1853
N = int(input()) ans = [] now = 0 count = 0 while N>0: for i in range(2000): if (i+1)*(i+2)//2 > N: N -= i*(i+1)//2 break ans.append("7"*i) now += i delim = pow(10,5*now,7) if delim==0: delim = 7 now += 1 ans.append(str(delim)) count += 1 if count==8: a print("".join(ans)[:-1]) N = int(input()) ans = [] now = 0 count = 0 while N>0: for i in range(2000): if (i+1)*(i+2)//2 > N: N -= i*(i+1)//2 break ans.append("7"*i) now += i delim = pow(10,5*now,7) if delim==0: delim = 7 now += 1 ans.append(str(delim)) count += 1 if count==8: a print("".join(ans)[:-1][::-1])
ConDefects/ConDefects/Code/arc129_c/Python/35701293
condefects-python_data_1854
def solve(n, vs): ans = [] l = 0 while (l+1)*(l+2)//2 <= n: l += 1 ans.append('7'*l) n -= l*(l+1)//2 if n: for i in range(l): for j in range(len(vs)): vs[j] = (vs[j]*10+7)%7 nxt = 1 while nxt < 10: b = ((nxt%7)!=0) for v in vs: if (v*10+nxt)%7 == 0: b = False if b: break nxt += 1 ans.append(str(nxt)) for j in range(len(vs)): vs[j] = (vs[j]*10+7)%7 vs.append(nxt) ans += solve(n, vs) return ans n = int(input()) vs = [] ans = solve(n, vs) ans = ''.join(ans) print(ans) def solve(n, vs): ans = [] l = 0 while (l+1)*(l+2)//2 <= n: l += 1 ans.append('7'*l) n -= l*(l+1)//2 if n: for i in range(l): for j in range(len(vs)): vs[j] = (vs[j]*10+7)%7 nxt = 1 while nxt < 10: b = ((nxt%7)!=0) for v in vs: if (v*10+nxt)%7 == 0: b = False if b: break nxt += 1 ans.append(str(nxt)) for j in range(len(vs)): vs[j] = (vs[j]*10+nxt)%7 vs.append(nxt) ans += solve(n, vs) return ans n = int(input()) vs = [] ans = solve(n, vs) ans = ''.join(ans) print(ans)
ConDefects/ConDefects/Code/arc129_c/Python/34289751
condefects-python_data_1855
from collections import deque li=[i*(i+1)//2 for i in range(1,2000)] N=int(input()) ans=[] now=N for j in range(1998,-1,-1): for k in range(now//li[j]): ans.append(j+1) now%=li[j] fin_ans=deque() for ai in ans: for _ in range(ai): fin_ans.appendleft("7") fin_ans.appendleft(str((3*len(fin_ans)-3)%7)) print("".join(fin_ans)) from collections import deque li=[i*(i+1)//2 for i in range(1,2000)] N=int(input()) ans=[] now=N for j in range(1998,-1,-1): for k in range(now//li[j]): ans.append(j+1) now%=li[j] fin_ans=deque() for ai in ans: for _ in range(ai): fin_ans.appendleft("7") fin_ans.appendleft(str(pow(3,len(fin_ans)*5,7))) print("".join(fin_ans))
ConDefects/ConDefects/Code/arc129_c/Python/39744798
condefects-python_data_1856
import time ts = time.perf_counter_ns() import sys dsum = 0 def search_p(n): global dsum for p in range(3,400000,2): if p*p>n: dsum += p//2 - 1 return 0 elif n%p<1: dsum += p//2 return p sys.stdin.readline() for s in sys.stdin.readlines(): n = int(s) p = search_p(n) if p: while n%p<1: n//=p print('Yes' if p and n>1 else 'No') sys.stdout.flush() te = ts + dsum * 1000 while time.perf_counter_ns() < te: pass import time ts = time.perf_counter_ns() import sys dsum = 0 def search_p(n): global dsum for p in range(3,400000,2): if p*p>n: dsum += p//2 - 1 return 0 elif n%p<1: dsum += p//2 return p sys.stdin.readline() for s in sys.stdin.readlines(): n = int(s) p = 2 if n%2<1 else search_p(n) if p: while n%p<1: n//=p print('Yes' if p and n>1 else 'No') sys.stdout.flush() te = ts + dsum * 1000 while time.perf_counter_ns() < te: pass
ConDefects/ConDefects/Code/arc165_a/Python/45736644
condefects-python_data_1857
a=list(map(int,input().split())) ans=[] for i in range(12): i+=1 s=a.count(i) if s==0: continue ans.append(s) if (len(ans)==2)and((ans[0]==3 and ans[1]==2)or(ans[0]==2 and ans[1]==3)): print("Yes") else: print("No") a=list(map(int,input().split())) ans=[] for i in range(13): i+=1 s=a.count(i) if s==0: continue ans.append(s) if (len(ans)==2)and((ans[0]==3 and ans[1]==2)or(ans[0]==2 and ans[1]==3)): print("Yes") else: print("No")
ConDefects/ConDefects/Code/abc263_a/Python/44922329
condefects-python_data_1858
def main(): cards = list(map(int, input().split())) assert len(cards) == 5 cards.sort() if cards[0] == cards[1] and cards[0] == cards[2] and cards[0] != cards[3] and cards[3] == cards[4]: print("Yes") else: print("No") if __name__ == "__main__": main() def main(): cards = list(map(int, input().split())) assert len(cards) == 5 cards.sort() if cards[0] == cards[1] and cards[0] == cards[2] and cards[0] != cards[3] and cards[3] == cards[4]: print("Yes") elif cards[0] == cards[1] and cards[0] != cards[2] and cards[2] == cards[3] and cards[3] == cards[4]: print("Yes") else: print("No") if __name__ == "__main__": main()
ConDefects/ConDefects/Code/abc263_a/Python/44884204
condefects-python_data_1859
a=list(map(int,input().split())) a.sort() if ((a[0]==a[1] and a[1]==a[2]) and (a[3]==a[4])) or ((a[0]==a[1] and a[1]==a[2]) or (a[3]==a[4])): print("Yes") else: print("No") a=list(map(int,input().split())) a.sort() if ((a[0]==a[1] and a[1]==a[2]) and (a[3]==a[4])) or ((a[0]==a[1]) and (a[2]==a[3] and a[3]==a[4])): print("Yes") else: print("No")
ConDefects/ConDefects/Code/abc263_a/Python/45528012
condefects-python_data_1860
x=list(map(int,input().split())) if len(set(x))==2: print("Yes") else: print("No") x=list(map(int,input().split())) if len(set(x))==2 and x.count(list(set(x))[0])>=2: print("Yes") else: print("No")
ConDefects/ConDefects/Code/abc263_a/Python/45002191
condefects-python_data_1861
K = sorted(list(map(int, input().split()))) if len(set(K)) == 2 and K[2] != K[3]: print('Yes') else: print('No') K = sorted(list(map(int, input().split()))) if len(set(K)) == 2 and (K[2] != K[3] or K[1] != K[2]): print('Yes') else: print('No')
ConDefects/ConDefects/Code/abc263_a/Python/45986379
condefects-python_data_1862
from collections import defaultdict count = defaultdict(int) A=list(map(int, input().split())) for i in range(len(A)): count[A[i]] += 1 a = count.values() a = list(a) if 2 < len(count.values()): print("No") elif a[0] == 3 or a[1] == 3: print("YES") else: print("No") from collections import defaultdict count = defaultdict(int) A=list(map(int, input().split())) for i in range(len(A)): count[A[i]] += 1 a = count.values() a = list(a) if 2 < len(count.values()): print("No") elif a[0] == 3 or a[1] == 3: print("Yes") else: print("No")
ConDefects/ConDefects/Code/abc263_a/Python/45972944
condefects-python_data_1863
n=int(input()) s=input() s=list(s) cnt=0 for i in range(n): if s[i]=='"': cnt+=1 if s[i]==",": if cnt%2==1: s[i]="." ans="" for i in range(n): ans+=s[i] print(ans) n=int(input()) s=input() s=list(s) cnt=0 for i in range(n): if s[i]=='"': cnt+=1 if s[i]==",": if cnt%2==0: s[i]="." ans="" for i in range(n): ans+=s[i] print(ans)
ConDefects/ConDefects/Code/abc282_c/Python/44818334
condefects-python_data_1864
# coding: utf-8 #import import random import os import operator from operator import add,sub,mul,xor,or_,and_ import time import sys import re import string import math from fractions import Fraction import inspect from math import sqrt,ceil,floor,gcd,log,log2 import collections from collections import defaultdict,deque,Counter from fractions import Fraction import bisect from bisect import bisect_left,bisect_right import itertools from itertools import accumulate,permutations import functools from functools import cmp_to_key from copy import deepcopy,copy import heapq from heapq import heappush,heappop,heapify from functools import lru_cache,reduce readline=sys.stdin.buffer.readline sys.setrecursionlimit(10**8) inf=int(10**18) #データ構造 class Edge: def __init__(self,x,y,cost=1): self.x=x self.y=y self.cost=cost class UnionFind: def __init__(self,n): self.n=n self.size_=n self.P=[-1 for i in range(n)]#根ノードの場合:ノード数×-1。それ以外:親ノードのindex def root(self,x): if self.P[x]>=0: self.P[x]=self.root(self.P[x]) return self.P[x] else: return x def same(self,x,y): return self.root(x)==self.root(y) def union(self,x,y): x=self.root(x) y=self.root(y) if x==y:return if -self.P[x]<-self.P[y]:x,y=y,x self.P[x]+=self.P[y] self.P[y]=x self.size_-=1 def unionSize(self,x): return -self.P[self.root(x)]#P[根ノード]=同じ集合のノード数×-1 def roots(self): ret=set() for i in range(self.n): ret.add(self.root(i)) return list(ret) def getMembersByRoot(self): ret=defaultdict(list) for u in range(self.n): root=self.root(u) ret[root].append(u) return ret def size(self): return self.size_ def __str__(self): ret=[] for i in range(self.n): ret.append((i,self.root(i))) ret=str(ret) return ret class BinaryTrie: def __init__(self,depth): self.root=[None,None,0] #0-child 1-child count self.bit_start=1<<(depth-1) def insert(self,x): node=self.root b=self.bit_start while b: i=bool(x&b) if node[i]==None: node[i]=[None,None,1] else: node[i][2]+=1 node=node[i] b>>=1 def pop_min(self,xor_mask=0): node=self.root b=self.bit_start ret=0 node[2]-=1 while b: i=bool(b&xor_mask) ret<<=1 if node[i]==None: i^=1 ret+=1 node=node[i] b >>= 1 if node[i][2] > 1: node[i][2] -= 1 node = node[i] else: tmp = node[i] node[i] = None node = tmp return ret def get_min(self,xor_mask=0): node=self.root b=self.bit_start ret=0 while b: i=bool(b&xor_mask) ret<<=1 if node[i]==None: i^=1 ret+=1 node=node[i] b>>=1 return ret def get_kth_min(self,k): b = self.bit_start node = self.root ret = 0 while b: ret = ret << 1 b >>= 1 if node[0] is None: node = node[1] ret += 1 elif node[1] is None: node = node[0] elif k <= node[0][2]: node = node[0] else: k -= node[0][2] node = node[1] ret += 1 return ret def erase(self, x): b = self.bit_start node = self.root node[2] -= 1 while b: i = bool(x & b) if node[i][2] > 1: node[i][2] -= 1 node = node[i] else: tmp = node[i] node[i] = None node = tmp b >>= 1 def lower_bound(self, bound=0): ret = self.get_kth_min(self.less_x(bound)+1) if ret > bound:return ret def upper_bound(self, bound=0): ret = self.get_kth_min(self.less_x(bound+1)+1) if ret < bound:return ret def less_x(self, x): if x < 0:return 0 b = self.bit_start node = self.root ret = 0 while b: i = bool(x & b) if node[i] is None: if i == 1: ret += node[0][2] return ret else: if i == 1: if node[0] is not None: ret += node[0][2] node = node[i] b >>= 1 return ret def is_exist(self, x): b = self.bit_start node = self.root while b: i = bool(x & b) if node[i] is None: return False node = node[i] b >>= 1 return True class SegTree:#[l,r) query(i),query(i,i+1)がO(1) def __init__(self, n, ide_ele, func): #要素数 簡単のため2の冪乗にする self.n=1 while self.n<n:self.n*=2 self.func = func self.ide_ele = ide_ele self.bottomStartPos = 1 << (n - 1).bit_length() self.tree = [ide_ele] * 2 * self.bottomStartPos #1-indexd """初期値に配列を渡す実装の場合 for i in range(self.bottomStartPos - 1, 0, -1): self.tree[i] = self.func(self.tree[2 * i], self.tree[2 * i + 1]) """ def update(self, k, x): k += self.bottomStartPos self.tree[k] = x while k > 1: self.tree[k//2] = self.func(self.tree[k], self.tree[k ^ 1]) k//=2 def query(self, L,R=None): if R==None or L+1==R:return self.tree[self.bottomStartPos+L] L=max(0,L) R=min(self.n,R) #非再帰 res = self.ide_ele L += self.bottomStartPos R += self.bottomStartPos while L < R: if L & 1: res = self.func(res, self.tree[L]) L += 1 if R & 1: res = self.func(res, self.tree[R - 1]) L//=2 R//=2 return res def __str__(self): return str(self.tree[self.bottomStartPos:]) class Heap:#heapqと違い要素の削除ができる def __init__(self,List=[],selfInvFunc=lambda x:x): self.h=[] self.d=defaultdict(int) self.len=0 self.selfInvFunc=selfInvFunc #自己逆関数 for l in List:self.add(l) def __len__(self): return self.len def __str__(self): return str(sorted(self.getValues())) def add(self,val): val=self.selfInvFunc(val) heapq.heappush(self.h,val) self.d[val]+=1 self.len+=1 def __cleanup(self): top=self.h[0] while self.d[top]==0: heappop(self.h) top=self.h[0] def pop(self): self.__cleanup() top=heappop(self.h) self.remove(self.selfInvFunc(top)) return self.selfInvFunc(top) def remove(self,val): val=self.selfInvFunc(val) if val not in self.d or self.d[val]==0: raise ValueError(f"{self.selfInvFunc(val)} is not in Heap") else: self.d[val]-=1 self.len-=1 def exists(self,val): val=self.selfInvFunc(val) return val in self.d and self.d[val]!=0 def top(self): self.__cleanup() val=self.h[0] return self.selfInvFunc(val) def getValues(self): return [self.selfInvFunc(val) for val,cnt in self.d.items() for _ in range(cnt)] class LazyRMQ:#[l,r) def __init__(self, n, ide_ele, maximum=True):#Falseならminimum #要素数 簡単のため2の冪乗にする self.n=1 while self.n<n:self.n*=2 self.func = lambda x,y:max(x,y) if maximum else lambda x,y:min(x,y) self.ide_ele = ide_ele self.bottomStartPos = 1 << (n - 1).bit_length() self.tree = [ide_ele] * 2 * self.bottomStartPos #1-indexd self.lazy = [ide_ele] * 2 * self.bottomStartPos #1-indexd def eval(self,k): if self.lazy[k]==self.ide_ele:return if k<self.bottomStartPos:#葉ではないか self.lazy[k*2]=self.lazy[k] self.lazy[k*2+1]=self.lazy[k] self.tree[k]=self.lazy[k] self.lazy[k]=self.ide_ele def update(self,L,R,x,k=None,l=None,r=None): L=max(0,L) R=min(self.n,R) if k==None:return self.update(L,R,x,1,0,self.n) self.eval(k) if L<=l and r<=R:#範囲内 self.lazy[k]=x self.eval(k) elif L<r and l<R:# self.update(L,R,x,k*2,l,(l+r)//2) self.update(L,R,x,k*2+1,(l+r)//2,r) self.tree[k]=self.func(self.tree[k*2],self.tree[k*2+1]) else:#範囲外 pass def query(self, L,R,k=None,l=None,r=None): L=max(0,L) R=min(self.n,R) #再帰 if k==None:return self.query(L,R,1,0,self.n) self.eval(k) if r<=L or R<=l:#範囲外 return self.ide_ele elif L<=l and r<=R:#範囲内 return self.tree[k] else: leftVal=self.query(L,R,k*2,l,(l+r)//2) rightVal=self.query(L,R,k*2+1,(l+r)//2,r) return self.func(leftVal,rightVal) class LazyRangeUpdateQuery:#[l,r) def __init__(self, n, ide_ele):# #要素数 簡単のため2の冪乗にする self.n=1 while self.n<n:self.n*=2 self.ide_ele = ide_ele self.bottomStartPos = 1 << (n - 1).bit_length() self.tree = [ide_ele] * 2 * self.bottomStartPos #1-indexd self.lazy = [ide_ele] * 2 * self.bottomStartPos #1-indexd def eval(self,k): if self.lazy[k]==self.ide_ele:return if k<self.bottomStartPos:#葉ではないか self.lazy[k*2]=self.lazy[k]//2 self.lazy[k*2+1]=self.lazy[k]//2 self.tree[k]=self.lazy[k] self.lazy[k]=self.ide_ele def update(self,L,R,x,k=None,l=None,r=None): L=max(0,L) R=min(self.n,R) if k==None:return self.update(L,R,x,1,0,self.n) self.eval(k) if L<=l and r<=R:#範囲内 self.lazy[k]=x*(r-l) self.eval(k) elif L<r and l<R: self.update(L,R,x,k*2,l,(l+r)//2) self.update(L,R,x,k*2+1,(l+r)//2,r) self.tree[k]=self.tree[k*2]+self.tree[k*2+1] else:#範囲外 pass def query(self, L,R,k=None,l=None,r=None): L=max(0,L) R=min(self.n,R) #再帰 if k==None:return self.query(L,R,1,0,self.n) self.eval(k) if r<=L or R<=l:#範囲外 return self.ide_ele elif L<=l and r<=R:#範囲内 return self.tree[k] else: leftVal=self.query(L,R,k*2,l,(l+r)//2) rightVal=self.query(L,R,k*2+1,(l+r)//2,r) return leftVal+rightVal class LazyRangeAddQuery:#[l,r) def __init__(self, n, ide_ele):# #要素数 簡単のため2の冪乗にする self.n=1 while self.n<n:self.n*=2 self.ide_ele = ide_ele self.bottomStartPos = 1 << (n - 1).bit_length() self.tree = [ide_ele] * 2 * self.bottomStartPos #1-indexd self.lazy = [ide_ele] * 2 * self.bottomStartPos #1-indexd def eval(self,k): if self.lazy[k]==self.ide_ele:return if k<self.bottomStartPos:#葉ではないか self.lazy[k*2]+=self.lazy[k]//2 self.lazy[k*2+1]+=self.lazy[k]//2 self.tree[k]+=self.lazy[k] self.lazy[k]=self.ide_ele def add(self,L,R,x,k=None,l=None,r=None): L=max(0,L) R=min(self.n,R) if k==None:return self.add(L,R,x,1,0,self.n) self.eval(k) if L<=l and r<=R:#範囲内 self.lazy[k]=x*(r-l) self.eval(k) elif L<r and l<R: self.add(L,R,x,k*2,l,(l+r)//2) self.add(L,R,x,k*2+1,(l+r)//2,r) self.tree[k]=self.tree[k*2]+self.tree[k*2+1] else:#範囲外 pass def query(self, L,R,k=None,l=None,r=None): L=max(0,L) R=min(self.n,R) #再帰 if k==None:return self.query(L,R,1,0,self.n) self.eval(k) if r<=L or R<=l:#範囲外 return self.ide_ele elif L<=l and r<=R:#範囲内 return self.tree[k] else: leftVal=self.query(L,R,k*2,l,(l+r)//2) rightVal=self.query(L,R,k*2+1,(l+r)//2,r) return leftVal+rightVal class SkipList:#順序付き集合(重複可) def __init__(self,A=[],maxHeight=30): self.length=len(A) self.maxHeight=maxHeight #十分な数 0-indexed self.cnt=defaultdict(int) #ノードは配列の方が高速 self.valIndex=0 self.nextIndex=1 self.sentinel=[None,[None]*(self.maxHeight+1)] for a in A: self.add(a) def __str__(self): elems=[k for k,v in self.cnt.items() for _ in range(v)] return str(elems) def __len__(self): return self.length def __getMaxLTE(self,x): now=self.sentinel for h in range(self.maxHeight,-1,-1): while now[self.nextIndex][h]!=None and now[self.nextIndex][h][self.valIndex]<=x: now=now[self.nextIndex][h] return now def exists(self,x): node=self.__getMaxLTE(x) return node[self.valIndex]==x def minGTE(self,x):#x以上の最小値 node=self.__getMaxLTE(x) if node[self.valIndex]==x: return x else: if node[self.nextIndex][0]==None: return None else: return node[self.nextIndex][0][self.valIndex] def minGT(self,x):#xを超える最小値 node=self.__getMaxLTE(x) if node[self.nextIndex][0]==None: return None else: return node[self.nextIndex][0][self.valIndex] def maxLTE(self,x):#x以下の最大値 node=self.__getMaxLTE(x) return node[self.valIndex] def __pickHeight(self):#0-indexed h=0 while random.randint(0,1)==0: h+=1 return h def add(self,x): self.cnt[x]+=1 if self.exists(x): return self.length+=1 newNodeHeight=self.__pickHeight() newNode=[x,[None]*(newNodeHeight+1)] now=self.sentinel for h in range(self.maxHeight,-1,-1):#newNodeHeightから始めると最初のwhile文の時間がかかる while now[self.nextIndex][h]!=None and now[self.nextIndex][h][self.valIndex]<x: now=now[self.nextIndex][h] #リンクの更新 if h<=newNodeHeight: maxLessThanXNode=now newNode[self.nextIndex][h]=maxLessThanXNode[self.nextIndex][h] maxLessThanXNode[self.nextIndex][h]=newNode def discard(self,x): if not self.exists(x): return self.cnt[x]-=1 if self.cnt[x]!=0: return del self.cnt[x] self.length-=1 now=self.sentinel for h in range(self.maxHeight,-1,-1): while now[self.nextIndex][h]!=None and now[self.nextIndex][h][self.valIndex]<x: now=now[self.nextIndex][h] maxLessThanXNode=now #リンクの更新(xが存在する高さなら) if maxLessThanXNode[self.nextIndex][h]!=None and maxLessThanXNode[self.nextIndex][h][self.valIndex]==x: removeNode=maxLessThanXNode[self.nextIndex][h] maxLessThanXNode[self.nextIndex][h]=removeNode[self.nextIndex][h] class BIT: def __init__(self,N): self.N=N self.values=[0]*(N+1)#1-indexed def add(self,i,x): i+=1 #1-indexed while i<=self.N: self.values[i]+=x i+=i&(-i) def query(self,i):#[0,i] i+=1 #1-indexed ret=0 while i!=0: ret+=self.values[i] i-=i&(-i) return ret #文字列 alphabet=string.ascii_lowercase ALPHABET=string.ascii_uppercase alphaToIdx={c:i if c<"A" else i-26 for i,c in enumerate(alphabet+ALPHABET)} def join(A,s=""): return s.join(list(map(str,A))) def sortStr(s): return "".join(sorted(s)) #数学系 mod=998244353 mod2=1000000007 def invsign(num): return -num def gcd(*args): return reduce(math.gcd,args) def lcm(*args): return reduce(lambda a,b:a*b//math.gcd(a,b),args) def getPrimes(n,returnNums=False):#O(n log log n) if n==0:return [] ret=[True]*(n+1) ret[0]=False ret[1]=False for a in range(2,n+1): if ret[a]: for b in range(a*2,n+1,a): ret[b]=False if returnNums: ret=[i for i,flag in enumerate(ret) if flag] return ret def isPrime(n):#O(√n) if(n<=1):return False i=2 while i*i<=n: if(n%i==0):return False i+=1 return True def factorize(n):#O(√n) b = 2 ret=defaultdict(int) while b * b <= n: while n % b == 0: n //= b ret[b]+=1 b+=1 if n > 1:ret[n]+=1 return ret class EratosthenesFactorization:#O(n log log n) def __init__(self,N): self.primeFactor=[None]*(N+1) for i in range(2,N+1): if self.primeFactor[i]==None: self.primeFactor[i]=i for j in range(i*2,N+1,i): self.primeFactor[j]=i def factorize(self,N):#O(logN) now=N primes=[] while now!=1: primes.append(self.primeFactor[now]) now=now//self.primeFactor[now] return Counter(primes) def getPowList(base,maxExponent,mod): ret=[1]*(maxExponent+1) for i in range(1,maxExponent+1): ret[i]=ret[i-1]*base%mod return ret def getFactorials(n,mod): ret=[1]*(n+1) for a in range(2,len(ret)): ret[a]=ret[a-1]*a if mod!=None: ret[a]%=mod return ret def getFactorialModInvs(n,mod): return [pow(factorial,mod-2,mod) for factorial in getFactorials(n,mod)] def comb_(n,r,factorials,mod=None,factorialModInvs=None):#O(1) if n-r<0:return 0 if mod==None: return factorials[n]//(factorials[n-r]*factorials[r]) else: if factorialModInvs: return (factorials[n]*factorialModInvs[n-r]%mod)*factorialModInvs[r]%mod else: return (factorials[n]*pow(factorials[n-r],mod-2,mod)%mod)*pow(factorials[r],mod-2,mod)%mod class Comb: def __init__(self,n,mod,factorials=None,factorialModInvs=None): self.n=n self.mod=mod if factorials: self.factorials=factorials else: self.factorials=getFactorials(n,mod) if factorialModInvs: self.factorialModInvs=factorialModInvs else: self.factorialModInvs=getFactorialModInvs(n,mod) def comb(self,n,r): if n-r<0:return 0 return (self.factorials[n]*self.factorialModInvs[n-r]%self.mod)*self.factorialModInvs[r]%self.mod def comb2(n,mod=None): if n-2<0:return 0 if mod==None: return (n*(n-1))//2 else: return (n*(n-1)%mod)*pow(2,mod-2,mod) def baseConversion(numbers,base,nextbase): N=len(numbers) if nextbase==10: sum_=0 for i,number in enumerate(numbers): p=(N-i-1) sum_+=number*base**p ret=list(map(int,list(str(sum_)))) elif base==10: number=int(join(numbers)) ret=deque() while 0<number: ret.appendleft(number%nextbase) number//=nextbase if len(ret)==0:ret.append(0) ret=list(ret) else: ret=baseConversion(numbers,base,10) ret=baseConversion(ret,10,nextbase) return ret def getDigitSum(numAsStr): A=list(map(int,list(str(numAsStr)))) return sum(A) def getDivisors(number):#O(√n log √n) ret=[] i=1 while i**2<=number: if number%i==0: ret.append(i) ret.append(number//i) if i==number//i:ret.pop() i+=1 ret.sort() return ret def iceil(a,b,mul=False): return int(((a+(b-1))//b)*(b if mul else 1)) def ifloor(a,b,mul=False): return int((a//b)*(b if mul else 1)) def mex(S):#集合で受け取る ret=0 while ret in S: ret+=1 return ret def isqrt(num):#pypyではisqrtは使えない return int(math.sqrt(num)) def sumTousa(l,r,d,mod=None): if mod==None: N=((r-l)//d+1) return N*(l+r)//2 else: N=((r-l)*pow(d,mod-2,mod)+1) return (N*(l+r)*pow(2,mod-2,mod))%mod def sign(num): if num>=0: return 1 elif num<0: return -1 else: return 0 def inc(x): return x+1 def dec(x): return x-1 def minmax(A): m,M=A[0],A[0] for a in A: m=min(m,a) M=max(M,a) return m,M def getDigits(num): if num==0:return 1 ret=0 while num>0: num//=10 ret+=1 return ret def phi(num):#O(log N) P=factorize(num).keys() return (num//(reduce(mul,P)))*reduce(mul,[p-1 for p in P]) def modinv(num,mod,isprime=True): if isprime: return pow(num,mod-2,mod) else: if gcd(num,mod)==1: return pow(num,phi(mod)-1,mod) else: return None def nearlyEqual(a,b,delta): return abs(a-b)<=delta def getSetTeams(numOfMems,MinNumOfTeams,MaxNumOfTeams): ret=[] teams=[] def f(i): if i==numOfMems: if MinNumOfTeams<=len(teams)<=MaxNumOfTeams: ret.append([team[:] for team in teams]) else: for team in teams: team.append(i) f(i+1) team.pop() if len(teams)<MaxNumOfTeams: teams.append([i]) f(i+1) teams.pop() f(0) return ret def getMedian(A,isSortedList=False): sortedList=A[:] N=len(A) if isSortedList==False: sortedList.sort() return (sortedList[N//2]+sortedList[N-N//2-1])/2 #二分探索 def intBS(left,right,func): while right-left>1: mid=(left+right)//2 if func(mid): left=mid else: right=mid return left,right def floatBS(left,right,func,delta): while right-left>delta: mid=(left+right)/2 if func(mid): left=mid else: right=mid return left,right def bisectLeft(A,x,left=0,right=None,func=lambda x:x): left=left-1 #含まない if right==None:right=len(A)#含む return intBS(left,right,lambda i:A[i]<x)[1] def bisectRight(A,x,left=0,right=None,func=lambda x:x): left=left-1 #含まない if right==None:right=len(A)#含む return intBS(left,right,lambda i:A[i]<=x)[1] def rvBisectLeft(A,x): return intBS(-1,len(A),lambda i:x<A[i])[1] def rvBisectRight(A,x): return intBS(-1,len(A),lambda i:x<=A[i])[1] def binarySearch(A,x): i=bisect.bisect_left(A,x) if i==len(A): ret=-1 else: if A[i]==x: ret=i else: ret=-1 return ret #ビット演算 def getCombs(bits,length): if bits==0:return [0] ret=[] num=2**bits-1 while num<(1<<length): ret.append(num) x=num&(-num) y=num+x z=num&(~y) z//=x z=z>>1 num=(y|z) return ret def getPopCountList(length): list_length=2**length popcount=[0]*list_length for i in range(1,list_length): popcount[i]=i%2+popcount[i//2] return popcount def getBinSubs(num): ret=[] T=num while True: ret.append(T) if T==0:break T=(T-1)&num return ret def getbit(num,i): return (num>>i)&1 def cntbits(num): ret=0 while num: ret+=num&1 num>>=1 return ret def getSetBitPos(num): return [i for i in range(num.bit_length()) if getbit(num,i)] def getUnSetBitPos(num,N): return [i for i in range(N) if getbit(num,i)==0] #座標 rd=[[0,1],[1,0]] crossmove=[[0,-1],[0,1],[1,0],[-1,0]] xmove=[[-1,-1],[1,1],[-1,1],[1,-1]] arround=crossmove+xmove def getDist(x1,y1,x2,y2,sq=False): ret=(x1-x2)**2+(y1-y2)**2 if not sq:ret**=0.5 return ret def getManhattanDist(x1,y1,x2,y2): return abs(x1-x2)+abs(y1-y2) def lrudToYXMat(d): if d.upper()=="L":return [0,-1] elif d.upper()=="R":return [0,1] elif d.upper()=="U":return [-1,0] elif d.upper()=="D":return [1,0] def lrudToYXCoor(d): if d.upper()=="L":return [0,-1] elif d.upper()=="R":return [0,1] elif d.upper()=="U":return [1,0] elif d.upper()=="D":return [-1,0] def within(y,x,H,W): return 0<=y<H and 0<=x<W def rot45(y,x):#√2の倍率は無視 return x+y,x-y def rot90(y,x): return x,-y def rot180(y,x): return -y,-x def rot270(y,x): return -x,y def newPoints(y,x,H,W,move): ret=[] for dy,dx in move: newy=y+dy newx=x+dx if within(newy,newx,H,W): ret.append([newy,newx]) return ret #行列 def getIdMat(width): ret=[[0]*width for i in range(width)] for i in range(width): ret[i][i]=1 return ret def transpose(mat): if mat==[]:return [] ret=[[None for j in range(len(mat))] for i in range(len(mat[0]))] for i in range(len(mat)): for j in range(len(mat[0])): ret[j][i]=mat[i][j] return ret def dot(A,B): B_=copyMat(B) if type(B[0])!=list: B_=transpose([B_]) if len(A[0])!=len(B_):raise ValueError H=len(A) W=len(B_[0]) ret=[[0 for j in range(W)] for i in range(H)] for i in range(H): for j in range(W): for k in range(len(B_)): ret[i][j]+=A[i][k]*B_[k][j] return ret def getMatrixPowDict(A,max_,mod=None): D={} D[1]=A now=2 while now<=max_: D[now]=dot(D[now//2],D[now//2]) if mod!=None: for j in range(len(D[now])): D[now]=list(map(lambda x:x%mod,D[now])) now*=2 return D def matrixPow(A,i,mod=None,matrixPowDict=None): if matrixPowDict==None:matrixPowDict=getMatrixPowDict(A,i) B=bin(i)[2:][::-1] I=[[1 if k==j else 0 for k in range(len(A))] for j in range(len(A))] ret=I for j,v in enumerate(B): if v=="1": ret=dot(ret,matrixPowDict[2**j]) if mod!=None: for j in range(len(ret)): ret[j]=list(map(lambda x:x%mod,ret[j])) return ret def modHakidashi(A,mod,isExtended=False):#return rank rows=len(A) cols=len(A[0]) rank=0 for col in range(cols): #行を入れ替える if isExtended and col==cols-1:break pivot=None for row in range(rank,rows): if A[row][col]!=0: pivot=row break if pivot==None:continue A[rank],A[pivot]=A[pivot],A[rank] #ピボットの値を1にする A[rank]=list(map(lambda x:x*pow(A[rank][col],mod-2,mod),A[rank])) #ピボットのある列の値をすべて0にする for row in range(rows): if row==rank:continue constantFactor=A[row][col] for col2 in range(cols): A[row][col2]-=(A[rank][col2]*constantFactor)%mod A[row][col2]%=mod rank+=1 return rank def hakidashi(A,eps,isExtended=False):#未検証 rows=len(A) cols=len(A[0]) rank=0 for col in range(cols): #行を入れ替える if isExtended and col==cols-1:break pivot=None maxAbs=-inf for row in range(rank,rows): if abs(A[row][col])>eps and abs(A[row][col])>maxAbs:#計算誤差を小さくするため絶対値が大きいものを優先する pivot=row maxAbs=abs(A[row][col]) break if pivot==None:continue A[rank],A[pivot]=A[pivot],A[rank] #ピボットの値を1にする A[rank]=list(map(lambda x:x/A[rank][col],A[rank])) #ピボットのある列の値をすべて0にする for row in range(rows): if row==rank and abs(A[row][col])>eps:continue constantFactor=A[row][col] for col2 in range(cols): A[row][col2]-=A[rank][col2]*constantFactor rank+=1 return rank #一次元配列 class wideRangeCumSum: def __init__(self): self.deltaList=defaultdict(int) self.cumsum={} self.keys_=[] def keys(self): return self.keys_ def add(self,i,x): self.deltaList[i]+=x def updateCumSum(self): self.keys_=sorted(self.deltaList.keys()) for i,curKey in enumerate(self.keys_): self.cumsum[curKey]=self.deltaList[curKey] if 0<i: prevKey=self.keys_[i-1] self.cumsum[curKey]+=self.cumsum[prevKey] def get(self,i): if i in self.cumsum:#O(1) return self.cumsum[i] else:#O(log len(cumsumKeys)) j=bisect_right(self.keys_,i)-1 if j==-1: return 0 else: return self.cumsum[self.keys_[j]] def getAllRanges(self,includingEnd=False): ret=[] for i in range(len(self.keys_)-1): left=self.keys_[i] right=self.keys_[i+1] ret.append([left,right]) if includingEnd: ret.append([self.keys[-1],None]) return ret def zaatsu(A):#座標圧縮 B=list(set(A)) B.sort() ret=[] for a in A: ret.append(bisect.bisect_left(B,a)) return ret def getCumSum(A): N=len(A) ret=[0]*(N+1) for i in range(1,N+1): ret[i]=ret[i-1]+A[i-1] return ret def imos(deltaList): ret=deltaList[:] for i in range(1,len(deltaList)): ret[i]=ret[i-1]+deltaList[i] return ret def nextPermutation(A): N=len(A) for i in range(N-1-1,-1,-1): if A[i]<A[i+1]: for j in range(N-1,-1,-1): if A[i]<A[j]: A[i],A[j]=A[j],A[i] A[i+1:]=A[i+1:][::-1] return True return None def listmap(A,func): return list(map(func,A)) def getValsWithIdx(A): return [[val,i] for i,val in enumerate(A)] def getPos(A,isInjective=False): if isInjective: ret=defaultdict(int) for i,a in enumerate(A): ret[a]=i else: ret=defaultdict(list) for i,a in enumerate(A): ret[a].append(i) return ret def cntIf(A,func): ret=0 for a in A: if func(a): ret+=1 return ret def cntUnique(A): return len(Counter(A)) def linkedsort(*args,key=None,reverse=False): args=list(args) mat=list(zip(*args)) if key==None: mat.sort(reverse=reverse) else: mat.sort(key=key,reverse=reverse) mat=list(zip(*mat)) for i in range(len(args)): args[i][:]=mat[i] def findIf(A,func): for i,a in enumerate(A): if func(a): return i return -1 def rfindIf(A,func): for i in range(len(A)-1,-1,-1): if func(A[i]): return i return -1 def isSub(a,A): now=0 N=len(A) for i in range(len(a)): while now<N: if a[i]==A[now]: now+=1 break else: now+=1 else: return False return True def rfind(A,val): for i in range(len(A)-1,-1,-1): if A[i]==val: return i return -1 def cntInv(A):#O(N log N) ret=0 A=zaatsu(A) bit=BIT(len(A)) for i in range(len(A)): ret+=i-bit.query(A[i]) bit.add(A[i],1) return ret def cntInv2v(A):#O(N) if A==[]:return 0 maxval=max(A) cnt=0 ret=0 for a in A: if a==maxval: cnt+=1 else: ret+=cnt return ret def RLE(A): ret=[] prev=None for a in A: if prev==a: ret[-1][1]+=1 else: ret.append([a,1]) prev=a return ret def LIS(A):#最長増加部分列 O(N log N) dp=[inf]*len(A) #dp[i]=部分列の長さが(i+1)の時の最終要素の最小値 for a in A: dp[bisect.bisect_left(dp,a)]=a return bisect.bisect_left(dp,inf-1) def replace(A,curVal,newVal): return [newVal if a==curVal else a for a in A] def getLoopIdx(*args): ret=[] code="" for i,arg in enumerate(args): code+=f"{' '*i}for {alphabet[i]} in {arg}:\n" code+=f"{' '*len(args)}ret.append(({','.join(alphabet[:len(args)])}))" exec(code) return ret def zalgo(A):#O(N) N=len(A) ret=[0]*N ret[0]=N i=1 j=0 while i<N: while i+j<N and A[j]==A[i+j]: j+=1 ret[i]=j if j==0: i+=1 else: k=1 while i+k<N and k+ret[k]<j: ret[i+k]=ret[k] k+=1 i+=k j-=k return ret def getTrueIdx(A): return [i for i,a in enumerate(A) if a] def getUnique(A): return list(Counter(A).keys()) def rvsort(A): return A.sort(reverse=True) #多次元配列 def copyMat(A): N=len(A) dim=1 cur=A while len(cur)>0 and type(cur[0]) in (tuple,list): dim+=1 cur=cur[0] if dim==1: return A[:] else: ret=[None]*N for i in range(N): ret[i]=copy(A[i]) return ret def sqlist(H,W,initVal=None): return [[initVal]*W for i in range(H)] def cblist(H,W,Z,initVal=None): return [[[initVal]*Z for j in range(W)] for i in range(H)] def getCol(A,col): return [A[i][col] for i in range(len(A))] def getRangeSumCumSumMat(cumSum,y1,x1,y2,x2):#1-indexed 閉区間 ret=cumSum[y2][x2] ret-=cumSum[y2][x1-1] ret-=cumSum[y1-1][x2] ret+=cumSum[y1-1][x1-1] return ret def getCumSumMat(mat): H,W=len(mat),len(mat[0]) ret=sqlist(H+1,W+1,0) for i in range(1,H+1): for j in range(1,W+1): ret[i][j]+=ret[i][j-1]+mat[i-1][j-1] for j in range(1,W+1): for i in range(1,H+1): ret[i][j]+=ret[i-1][j] return ret class CumSumByValue:#メモリO(N) 1-indexed def __init__(self,A): self.cumsum=defaultdict(None) for a in set(A): self.cumsum[a]=wideRangeCumSum() for i,a in enumerate(A): self.cumsum[a].add(i+1,1) for a in set(A): self.cumsum[a].updateCumSum() def get(self,key,i): if key in self.cumsum: return self.cumsum[key].get(i) else: return 0 def imosMat(deltaList): H,W=len(deltaList),len(deltaList[0]) ret=copyMat(deltaList) for i in range(H): for j in range(1,W): ret[i][j]+=ret[i][j-1] for j in range(W): for i in range(1,H): ret[i][j]+=ret[i-1][j] return ret def yxToX(y,x,H,W): return y*W+x def yxzToX(y,x,z,H,W,D): return y*(W*D)+x*D+z def cntMat(mat,val): cnt=0 for i in range(len(mat)): for j in range(len(mat[i])): if mat[i][j]==val: cnt+=1 return cnt def mapping(A,func): N=len(A) dim=1 cur=A while len(cur)>0 and type(cur[0]) in (tuple,list): dim+=1 cur=cur[0] if dim==1: return list(map(func,A)) else: ret=[None]*N for i in range(N): ret[i]=mapping(A[i],func) return ret def rot90Mat(mat): H=len(mat[0]) W=len(mat) ret=sqlist(H,W) for i in range(H): for j in range(W): ret[i][j]=mat[j][H-1-i] return ret def addWall(A,chr="#"): H=len(A) W=len(A[0]) type_=type(A[0]) if type_==str: for i in range(H): A[i]+=chr A.append(chr*(W+1)) else: for i in range(H): A[i].append(chr) A.append([chr]*(W+1)) def findMat(mat,val): for i in range(len(mat)): for j in range(len(mat[i])): if mat[i][j]==val:return (i,j) return None def flatten(mat): return list(itertools.chain.from_iterable(mat)) def listToMat(A,H,W): N=len(A) ret=sqlist(H,W) for i in range(H): for j in range(W): ret[i][j]=A[i*W+j] return ret def sliceMat(mat,top,bottom,left,right):#閉区間 ret=[] for i in range(top,bottom+1): if 0<=i<len(mat): ret.append(mat[i][left:right+1]) if ret[-1]==[]:ret.pop() return ret def listToTuple(A): ret=[] for item in A: if isinstance(item, list): ret.append(tuple(listToTuple(item))) elif isinstance(item, tuple): ret.append(listToTuple(item)) else: ret.append(item) ret=tuple(ret) return ret #グラフ class Doubling:#パスグラフ用 O(log dist * N) def __init__(self,pathGraph,maxDist): self.bitLength=len(bin(maxDist)[2:]) self.N=len(pathGraph) self.D=sqlist(self.bitLength,self.N,list) for i in range(self.bitLength): if i==0: self.D[0]=pathGraph[:] else: for j in range(self.N): self.D[i][j]=self.D[i-1][self.D[i-1][j]] def getVal(self,start,dist): ret=start distBitLength=len(bin(dist)[2:]) for i in range(distBitLength): if ((dist>>i)&1)==1: ret=self.D[i][ret] return ret class CyclicPath:#入力はパス(パスグラフではない) O(N) def __init__(self,path): visited=defaultdict(bool) cycleStartVal=None cycleEndIndex=None for i,u in enumerate(path): if visited[u]: cycleStartVal=u cycleEndIndex=i break visited[u]=True cycleStartIndex=path.index(cycleStartVal) self.acyclicPath=path[:cycleStartIndex] self.cyclicPath=path[cycleStartIndex:cycleEndIndex] def getVal(self,index):#O(1) if index<=len(self.acyclicPath)-1: return self.acyclicPath[index] else: index-=len(self.acyclicPath) index%=len(self.cyclicPath) return self.cyclicPath[index] def getPath(self): return self.acyclicPath,self.cyclicPath class FordFulkerson: def __init__(self,edges,V,s,t): self.V=V self.used=[False]*V self.G=[[] for a in range(V)] self.s=s self.t=t for edge in edges: self.G[edge.x].append({"x":edge.x,"y":edge.y,"cap":edge.cost,"rev":len(self.G[edge.y])}) self.G[edge.y].append({"x":edge.y,"y":edge.x,"cap":0,"rev":len(self.G[edge.x])-1}) def dfs(self,v,t,f=inf): if v==t:return f self.used[v]=True for a in range(len(self.G[v])): x=self.G[v][a]["x"] y=self.G[v][a]["y"] cap=self.G[v][a]["cap"] rev=self.G[y][self.G[x][a]["rev"]] if self.used[y] or cap==0:continue f2=self.dfs(y,t,min(f,cap)) if f2>0: self.G[v][a]["cap"]-=f2 rev["cap"]+=f2 return f2 return 0 def maxflow(self): flow=0 while True: self.used=[False]*self.V zouka=self.dfs(self.s,self.t) if zouka==0:break flow+=zouka return flow def edgesToUG(edges,N): G=[[] for i in range(N)] for edge in edges: u,v=edge G[u].append(v) G[v].append(u) return G def edgesToDG(edges,N):#未検証 G=[[] for i in range(N)] for edge in edges: u,v=edge G[u].append(v) return G def UGToEdges(G): N=len(G) edges=[] for i in range(N): for j in G[i]: if i<j: edges.append((i,j)) return edges def DGToEdges(G):#未検証 N=len(G) edges=[] for i in range(N): for j in G[i]: edges.append((i,j)) return edges def dijkstra(edges,N,start):#O(V+E*logV) G=[[] for a in range(N)] for edge in edges: G[edge.x].append([edge.cost,edge.y]) mincost=[inf]*N Q=[[0,start]] while len(Q)>0: curCost,cur=heappop(Q) if mincost[cur]!=inf:continue mincost[cur]=curCost for edgeCost,nxt in G[cur]: newCost=curCost+edgeCost if mincost[nxt]==inf:#高速化のため heappush(Q,[newCost,nxt]) return mincost def dictDijkstra(edges,start): mincost=defaultdict(lambda x:inf) visited=defaultdict(bool) G=defaultdict(list) for edge in edges: G[edge.x].append([edge.cost,edge.y]) Q=[] heappush(Q,[0,start]) while len(Q)>0: nowcost,nowx=heappop(Q) if visited[nowx]:continue visited[nowx]=True mincost[nowx]=nowcost for cost,y in G[nowx]: if visited[y]:continue #高速化 newcost=nowcost+cost heappush(Q,[newcost,y]) return mincost def dictBFS01(edges,start): G=defaultdict(list) for edge in edges: G[edge.x].append((edge.y,edge.cost)) mincost=defaultdict(lambda:inf) Q=deque([[start,0]]) while Q: cur,cost=Q.popleft() if mincost[cur]!=inf:continue mincost[cur]=cost for nxt,edgeCost in G[cur]: if edgeCost==1: Q.append([nxt,cost+edgeCost]) else: Q.appendleft([nxt,cost+edgeCost]) return mincost def shortestBFS(adjList,start): N=len(adjList) mincost=[inf]*N mincost[start]=0 Q=deque([start]) while Q: now=Q.popleft() for tugi in adjList[now]: if mincost[tugi]==inf: mincost[tugi]=mincost[now]+1 Q.append(tugi) return mincost def dictShortedBFS(adjList,start): mincost=defaultdict(lambda:inf) mincost[start]=0 Q=deque([start]) while Q: now=Q.popleft() for tugi in adjList[now]: if mincost[tugi]==inf: mincost[tugi]=mincost[now]+1 Q.append(tugi) return mincost def warshallFloyd(adjMat):#O(N**3) V=len(adjMat) mincost=[[inf for j in range(V)] for i in range(V)] for i in range(V): for j in range(V): mincost[i][j]=adjMat[i][j] for i in range(V):mincost[i][i]=0 #この行をコメントすると同じ頂点を一回以上辺を通ってたどり着く場合の最短距離が分かる for k in range(V): for s in range(V): for t in range(V): if mincost[s][k]==inf or mincost[k][t]==inf:continue mincost[s][t]=min(mincost[s][t],mincost[s][k]+mincost[k][t]) return mincost def bellemanFord(edges,N,start): mincost=[inf]*N mincost[start]=0 for _ in range(N): for edge in edges: if mincost[edge.x]==inf:continue mincost[edge.y]=min(mincost[edge.y],mincost[edge.x]+edge.cost) return mincost def getConnectedNodes(adjList,start): S=[start] connectedNodes=set([start]) while len(S)>0: cur=S.pop() for nxt in adjList[cur]: if nxt not in connectedNodes: connectedNodes.add(nxt) S.append(nxt) return connectedNodes def topologicalSort(adjList):#閉路がある場合Noneを返す path=[] #入次数 indeg=[0]*len(adjList) for u in range(len(adjList)): for v in adjList[u]: indeg[v]+=1 isolatedNodes=[] #初めから入次数が0の頂点をスタックに入れる for u in range(len(adjList)): if indeg[u]==0: isolatedNodes.append(u) while isolatedNodes: u=isolatedNodes.pop() path.append(u) for v in adjList[u]: indeg[v]-=1 if indeg[v]==0: isolatedNodes.append(v) return path if len(path)==len(adjList) else None def SSC(edges,N):#強連結成分分解 O(VlogV+E) #DFS一回目 G=[[] for i in range(N)] for edge in edges: G[edge.x].append(edge.y) nokori=set(list(range(N))) visited=defaultdict(bool) kaerigake=[] while nokori: start=nokori.pop() S=[(start,True)]#(start,行き道か) while S: now,isIki=S.pop() if visited[(now,isIki)]:continue visited[(now,isIki)]=True nokori.discard(now) if isIki: S.append((now,False)) for tugi in G[now]: if visited[(tugi,True)]: pass else: S.append((tugi,True)) else: kaerigake.append(now) numbers=[None]*N for i,v in enumerate(kaerigake): numbers[v]=i #DFS二回目 G=[[] for i in range(N)] for edge in edges: G[edge.y].append(edge.x) maxQ=[(numbers[i],i) for i in range(N)] maxQ.sort(reverse=True) visited=[False]*N ret=[] for tmp,start in maxQ: if visited[start]:continue#既に訪れていたら visited[start]=True S=[start] ret.append([]) while S: now=S.pop() ret[-1].append(now) for tugi in G[now]: if not visited[tugi]: visited[tugi]=True S.append(tugi) return ret #上流の強連結成分から def isConnected(adjList): S=[0] V=[False]*len(adjList) V[0]=True while S: now=S.pop() for tugi in adjList[now]: if not V[tugi]: V[tugi]=True S.append(tugi) return all(V) def isNibuGraph(adjList): V=len(adjList) colors=[None]*V for s in range(V): if colors[s]==None: S=[s] colors[s]=0 while S: cur=S.pop() for nxt in adjList[cur]: if colors[nxt]==None: colors[nxt]=1-colors[cur] S.append(nxt) elif colors[nxt]==colors[cur]: return False else: pass return True def paintNibuGraph(adjList): N=len(adjList) colors=[None]*N for start in range(N): if colors[start]==None: S=[start] colors[start]=0 while S: cur=S.pop() for nxt in adjList[cur]: if colors[nxt]==None: colors[nxt]=1-colors[cur] S.append(nxt) elif colors[nxt]==colors[cur]: return None else: pass return colors def diam(adjMat):#グラフの直径を求める mincost=warshallFloyd(adjMat) ret=-inf for i in range(len(adjMat)): for j in range(len(adjMat)): ret=max(ret,mincost[i][j]) return ret def reverseDegree(adjList): N=len(adjList) ret=[[] for i in range(N)] for i in range(N): for next_ in adjList[i]: ret[next_].append(i) return ret def gridToGraph(A,move,obstacle="#"): H=len(A) W=len(A[0]) G=defaultdict(list) for y in range(H): for x in range(W): for d in move: nextY=y+d[0] nextX=x+d[1] if within(nextY,nextX,H,W) and A[nextY][nextX]!=obstacle: G[(y,x)].append((nextY,nextX)) return G def TSP(adjMat,start=None):#O(N**2 * 2**N) #dp[bin_][i]=bin_のbitが立っている箇所を通る&最後に頂点iに到達する場合の最小値 N=len(adjMat) dp=sqlist(2**N,N,inf) dp[0][start]=0 for curbin in range(2**N-1): for cur in range(N): for nxt in range(N): if getbit(curbin,nxt)==0: nxtbin=curbin|(1<<nxt) if dp[curbin][cur]!=inf: dp[nxtbin][nxt]=min(dp[nxtbin][nxt],dp[curbin][cur]+adjMat[cur][nxt]) return dp def getConnectedComponents(edges,N,updateVertexNumbers=True): U=UnionFind(N) for edge in edges: u=edge.x v=edge.y U.union(u,v) ret={} for edge in edges: u=edge.x v=edge.y root=U.root(u) if root not in ret: ret[root]={"N":U.unionSize(root),"edges":[]} ret[root]["M"]+=1 ret[root]["edges"].append(Edge(u,v,edge.cost)) for u in range(N): if U.unionSize(u)==1: ret[u]={"N":1,"edges":[]} if updateVertexNumbers: for root in U.roots(): vertexNums=set() for edge in ret[root]["edges"]: vertexNums.add(edge.x) vertexNums.add(edge.y) vertexNums=sorted(vertexNums) pos=getPos(vertexNums,isInjective=True) for i in range(len(ret[root]["edges"])): ret[root]["edges"][i].x=pos[ret[root]["edges"][i].x] ret[root]["edges"][i].y=pos[ret[root]["edges"][i].y] ret=list(ret.values()) return ret def getPostOrder(adjList,start): ret=[] S=[(start,True)] departed=[False]*len(adjList) while S: cur,iki=S.pop() if iki: departed[cur]=True S.append((cur,False)) for nxt in adjList[cur]: if departed[nxt]:continue S.append((nxt,True)) else: ret.apend(cur) return ret #グラフ(木) def edgesToTree(N,edges,root): parents=[None]*N children=[[] for i in range(N)] G=edgesToUG(edges,N) S=[root] V=[False]*N V[root]=True while S: cur=S.pop() for nxt in G[cur]: if not V[nxt]: V[nxt]=True S.append(nxt) children[cur].append(nxt) parents[nxt]=cur return parents,children def treeToUG(parents,children): N=len(parents) ret=[[] for i in range(N)] for i in range(N): if parents[i]!=None: ret[i].append(parents[i]) ret[i]+=children[i] return ret def getLeafs(parents,children): ret=[] N=len(parents) for i in range(N): deg=0 if parents[i]!=None:deg+=1 deg+=len(children[i]) if deg==1: ret.append(i) return ret def getTreeDepths(parents,children): root=parents.index(None) N=len(parents) S=[root] ret=[None]*N ret[root]=0 while S: cur=S.pop() for child in children[cur]: S.append(child) ret[child]=ret[cur]+1 return ret def doubleSweep(edges,N):#木の直径を求める G=[[] for i in range(N)] for e in edges: G[e.x].append((e.y,e.cost)) start=0 maxmincost=None for _ in range(2): S=[start] mincost=[inf]*N mincost[start]=0 while S: now=S.pop() nowcost=mincost[now] for e in G[now]: if mincost[e[0]]==inf: mincost[e[0]]=nowcost+e[1] S.append(e[0]) maxmincost=max(mincost) start=mincost.index(maxmincost) return maxmincost def kruskal(N,Edges):#最小全域木 O(M logN) U=UnionFind(N) Edges.sort(key=lambda x:x.cost) treeEdges=[] for i in range(len(Edges)): edge=Edges[i] x=edge.x y=edge.y cost=edge.cost if not U.same(x,y): treeEdges.append(Edge(x,y,cost)) U.union(x,y) return treeEdges def extractSimpleUGCycle(G):#O(N log N) N=len(G) deg=[len(G[u]) for u in range(N)] ret=copyMat(G) Q=[u for u in range(N) if deg[u]==1] for u in range(N): ret[u]=set(ret[u]) while Q: u=Q.pop() v=ret[u].pop() ret[v].remove(u) deg[v]-=1 if deg[v]==1: Q.append(v) for u in range(N): ret[u]=list(ret[u]) return ret #他 class MinMaxWithIndex: def __init__(self,values=[],indices=[]): self.minVal=None self.minIndex=None self.maxVal=None self.maxIndex=None for i in range(len(values)): self.update(values[i],indices[indices[i]]) def update(self,val,index): if self.minVal==None or self.minVal>val: self.minVal=val self.minIndex=index if self.maxVal==None or self.maxVal<val: self.maxVal=val self.maxIndex=index def min(self): return self.minVal,self.minIndex def max(self): return self.maxVal,self.maxIndex def getMaxIndex(A): max_=-inf idx=None for i,a in enumerate(A): if max_<a: max_=a idx=i return idx def getMinIndex(A): min_=-inf idx=None for i,a in enumerate(A): if a<min_: min_=a idx=i return idx #入力 def inputs(row=None,func=None): ret=None if row==None: ret=input().split() else: ret=[input() for _ in range(row)] if func!=None:ret=mapping(ret,func) return ret def inputmat(row,func=None,transpose=False): if transpose: ret=None col=None for i in range(row): A=inputs() if i==0: col=len(A) ret=[[None]*row for _ in range(col)] for j in range(col): ret[j][i]=A[j] else: ret=[inputs() for _ in range(row)] if func!=None:ret=mapping(ret,func) return ret def inputint(): return int(input()) def inputints(row=None,func=None): ret=inputs(row,int) if func!=None:ret=mapping(ret,func) return ret def inputintmat(row,func=None,transpose=False): ret=inputmat(row,int,transpose) if func!=None:ret=mapping(ret,func) return ret def inputUG(N,M): G=[[] for i in range(N)] for i in range(M): u,v=inputints() u-=1 v-=1 G[u].append(v) G[v].append(u) return G def inputDG(N,M): G=[[] for i in range(N)] for i in range(M): u,v=inputints() u-=1 v-=1 G[u].append(v) return G def inputUEdges(M): Edges=[] for i in range(M): a,b=inputints() a-=1 b-=1 Edges.append(Edge(a,b,1)) Edges.append(Edge(b,a,1)) return Edges def inputDEdges(M): Edges=[] for i in range(M): a,b=inputints() a-=1 b-=1 Edges.append(Edge(a,b,1)) return Edges def inputTree(N,root): parents=[None]*N children=[[] for i in range(N)] M=N-1 G=inputUG(N,M) S=[root] V=[False]*N V[root]=True while S: now=S.pop() for next_ in G[now]: if not V[next_]: V[next_]=True S.append(next_) children[now].append(next_) parents[next_]=now return parents,children def fillNone(mat,width): N=len(mat) ret=copyMat(mat) for i in range(N): for _ in range(width-len(ret[i])): ret[i].append(None) return ret #出力 def yn(flag,trueOutput="Yes",falseOutput="No"): print(trueOutput if flag else falseOutput) def YN(flag): print("YES" if flag else "NO") def no(*args): print(f"{inspect.currentframe().f_back.f_lineno}: {' '.join(list(map(str,args)))}") def printmat(A,sep=" ",fill=0): if sep==" " and fill==0: for a in A: print(*a) else: for a in A: print(sep.join(list(map(lambda x:str(x).center(fill),a)))) ############################################################################### N,M=inputints() G=inputUG(N,M) Q=inputint() XK=inputintmat(Q) dp=sqlist(4,N) for cnt in range(4): for u in range(N): dp[cnt][u]={cnt+1} if cnt>0: for nxt in G[u]: dp[cnt][u]|=dp[cnt-1][nxt] for x,k in XK: x-=1 print(sum(dp[k][x])) # coding: utf-8 #import import random import os import operator from operator import add,sub,mul,xor,or_,and_ import time import sys import re import string import math from fractions import Fraction import inspect from math import sqrt,ceil,floor,gcd,log,log2 import collections from collections import defaultdict,deque,Counter from fractions import Fraction import bisect from bisect import bisect_left,bisect_right import itertools from itertools import accumulate,permutations import functools from functools import cmp_to_key from copy import deepcopy,copy import heapq from heapq import heappush,heappop,heapify from functools import lru_cache,reduce readline=sys.stdin.buffer.readline sys.setrecursionlimit(10**8) inf=int(10**18) #データ構造 class Edge: def __init__(self,x,y,cost=1): self.x=x self.y=y self.cost=cost class UnionFind: def __init__(self,n): self.n=n self.size_=n self.P=[-1 for i in range(n)]#根ノードの場合:ノード数×-1。それ以外:親ノードのindex def root(self,x): if self.P[x]>=0: self.P[x]=self.root(self.P[x]) return self.P[x] else: return x def same(self,x,y): return self.root(x)==self.root(y) def union(self,x,y): x=self.root(x) y=self.root(y) if x==y:return if -self.P[x]<-self.P[y]:x,y=y,x self.P[x]+=self.P[y] self.P[y]=x self.size_-=1 def unionSize(self,x): return -self.P[self.root(x)]#P[根ノード]=同じ集合のノード数×-1 def roots(self): ret=set() for i in range(self.n): ret.add(self.root(i)) return list(ret) def getMembersByRoot(self): ret=defaultdict(list) for u in range(self.n): root=self.root(u) ret[root].append(u) return ret def size(self): return self.size_ def __str__(self): ret=[] for i in range(self.n): ret.append((i,self.root(i))) ret=str(ret) return ret class BinaryTrie: def __init__(self,depth): self.root=[None,None,0] #0-child 1-child count self.bit_start=1<<(depth-1) def insert(self,x): node=self.root b=self.bit_start while b: i=bool(x&b) if node[i]==None: node[i]=[None,None,1] else: node[i][2]+=1 node=node[i] b>>=1 def pop_min(self,xor_mask=0): node=self.root b=self.bit_start ret=0 node[2]-=1 while b: i=bool(b&xor_mask) ret<<=1 if node[i]==None: i^=1 ret+=1 node=node[i] b >>= 1 if node[i][2] > 1: node[i][2] -= 1 node = node[i] else: tmp = node[i] node[i] = None node = tmp return ret def get_min(self,xor_mask=0): node=self.root b=self.bit_start ret=0 while b: i=bool(b&xor_mask) ret<<=1 if node[i]==None: i^=1 ret+=1 node=node[i] b>>=1 return ret def get_kth_min(self,k): b = self.bit_start node = self.root ret = 0 while b: ret = ret << 1 b >>= 1 if node[0] is None: node = node[1] ret += 1 elif node[1] is None: node = node[0] elif k <= node[0][2]: node = node[0] else: k -= node[0][2] node = node[1] ret += 1 return ret def erase(self, x): b = self.bit_start node = self.root node[2] -= 1 while b: i = bool(x & b) if node[i][2] > 1: node[i][2] -= 1 node = node[i] else: tmp = node[i] node[i] = None node = tmp b >>= 1 def lower_bound(self, bound=0): ret = self.get_kth_min(self.less_x(bound)+1) if ret > bound:return ret def upper_bound(self, bound=0): ret = self.get_kth_min(self.less_x(bound+1)+1) if ret < bound:return ret def less_x(self, x): if x < 0:return 0 b = self.bit_start node = self.root ret = 0 while b: i = bool(x & b) if node[i] is None: if i == 1: ret += node[0][2] return ret else: if i == 1: if node[0] is not None: ret += node[0][2] node = node[i] b >>= 1 return ret def is_exist(self, x): b = self.bit_start node = self.root while b: i = bool(x & b) if node[i] is None: return False node = node[i] b >>= 1 return True class SegTree:#[l,r) query(i),query(i,i+1)がO(1) def __init__(self, n, ide_ele, func): #要素数 簡単のため2の冪乗にする self.n=1 while self.n<n:self.n*=2 self.func = func self.ide_ele = ide_ele self.bottomStartPos = 1 << (n - 1).bit_length() self.tree = [ide_ele] * 2 * self.bottomStartPos #1-indexd """初期値に配列を渡す実装の場合 for i in range(self.bottomStartPos - 1, 0, -1): self.tree[i] = self.func(self.tree[2 * i], self.tree[2 * i + 1]) """ def update(self, k, x): k += self.bottomStartPos self.tree[k] = x while k > 1: self.tree[k//2] = self.func(self.tree[k], self.tree[k ^ 1]) k//=2 def query(self, L,R=None): if R==None or L+1==R:return self.tree[self.bottomStartPos+L] L=max(0,L) R=min(self.n,R) #非再帰 res = self.ide_ele L += self.bottomStartPos R += self.bottomStartPos while L < R: if L & 1: res = self.func(res, self.tree[L]) L += 1 if R & 1: res = self.func(res, self.tree[R - 1]) L//=2 R//=2 return res def __str__(self): return str(self.tree[self.bottomStartPos:]) class Heap:#heapqと違い要素の削除ができる def __init__(self,List=[],selfInvFunc=lambda x:x): self.h=[] self.d=defaultdict(int) self.len=0 self.selfInvFunc=selfInvFunc #自己逆関数 for l in List:self.add(l) def __len__(self): return self.len def __str__(self): return str(sorted(self.getValues())) def add(self,val): val=self.selfInvFunc(val) heapq.heappush(self.h,val) self.d[val]+=1 self.len+=1 def __cleanup(self): top=self.h[0] while self.d[top]==0: heappop(self.h) top=self.h[0] def pop(self): self.__cleanup() top=heappop(self.h) self.remove(self.selfInvFunc(top)) return self.selfInvFunc(top) def remove(self,val): val=self.selfInvFunc(val) if val not in self.d or self.d[val]==0: raise ValueError(f"{self.selfInvFunc(val)} is not in Heap") else: self.d[val]-=1 self.len-=1 def exists(self,val): val=self.selfInvFunc(val) return val in self.d and self.d[val]!=0 def top(self): self.__cleanup() val=self.h[0] return self.selfInvFunc(val) def getValues(self): return [self.selfInvFunc(val) for val,cnt in self.d.items() for _ in range(cnt)] class LazyRMQ:#[l,r) def __init__(self, n, ide_ele, maximum=True):#Falseならminimum #要素数 簡単のため2の冪乗にする self.n=1 while self.n<n:self.n*=2 self.func = lambda x,y:max(x,y) if maximum else lambda x,y:min(x,y) self.ide_ele = ide_ele self.bottomStartPos = 1 << (n - 1).bit_length() self.tree = [ide_ele] * 2 * self.bottomStartPos #1-indexd self.lazy = [ide_ele] * 2 * self.bottomStartPos #1-indexd def eval(self,k): if self.lazy[k]==self.ide_ele:return if k<self.bottomStartPos:#葉ではないか self.lazy[k*2]=self.lazy[k] self.lazy[k*2+1]=self.lazy[k] self.tree[k]=self.lazy[k] self.lazy[k]=self.ide_ele def update(self,L,R,x,k=None,l=None,r=None): L=max(0,L) R=min(self.n,R) if k==None:return self.update(L,R,x,1,0,self.n) self.eval(k) if L<=l and r<=R:#範囲内 self.lazy[k]=x self.eval(k) elif L<r and l<R:# self.update(L,R,x,k*2,l,(l+r)//2) self.update(L,R,x,k*2+1,(l+r)//2,r) self.tree[k]=self.func(self.tree[k*2],self.tree[k*2+1]) else:#範囲外 pass def query(self, L,R,k=None,l=None,r=None): L=max(0,L) R=min(self.n,R) #再帰 if k==None:return self.query(L,R,1,0,self.n) self.eval(k) if r<=L or R<=l:#範囲外 return self.ide_ele elif L<=l and r<=R:#範囲内 return self.tree[k] else: leftVal=self.query(L,R,k*2,l,(l+r)//2) rightVal=self.query(L,R,k*2+1,(l+r)//2,r) return self.func(leftVal,rightVal) class LazyRangeUpdateQuery:#[l,r) def __init__(self, n, ide_ele):# #要素数 簡単のため2の冪乗にする self.n=1 while self.n<n:self.n*=2 self.ide_ele = ide_ele self.bottomStartPos = 1 << (n - 1).bit_length() self.tree = [ide_ele] * 2 * self.bottomStartPos #1-indexd self.lazy = [ide_ele] * 2 * self.bottomStartPos #1-indexd def eval(self,k): if self.lazy[k]==self.ide_ele:return if k<self.bottomStartPos:#葉ではないか self.lazy[k*2]=self.lazy[k]//2 self.lazy[k*2+1]=self.lazy[k]//2 self.tree[k]=self.lazy[k] self.lazy[k]=self.ide_ele def update(self,L,R,x,k=None,l=None,r=None): L=max(0,L) R=min(self.n,R) if k==None:return self.update(L,R,x,1,0,self.n) self.eval(k) if L<=l and r<=R:#範囲内 self.lazy[k]=x*(r-l) self.eval(k) elif L<r and l<R: self.update(L,R,x,k*2,l,(l+r)//2) self.update(L,R,x,k*2+1,(l+r)//2,r) self.tree[k]=self.tree[k*2]+self.tree[k*2+1] else:#範囲外 pass def query(self, L,R,k=None,l=None,r=None): L=max(0,L) R=min(self.n,R) #再帰 if k==None:return self.query(L,R,1,0,self.n) self.eval(k) if r<=L or R<=l:#範囲外 return self.ide_ele elif L<=l and r<=R:#範囲内 return self.tree[k] else: leftVal=self.query(L,R,k*2,l,(l+r)//2) rightVal=self.query(L,R,k*2+1,(l+r)//2,r) return leftVal+rightVal class LazyRangeAddQuery:#[l,r) def __init__(self, n, ide_ele):# #要素数 簡単のため2の冪乗にする self.n=1 while self.n<n:self.n*=2 self.ide_ele = ide_ele self.bottomStartPos = 1 << (n - 1).bit_length() self.tree = [ide_ele] * 2 * self.bottomStartPos #1-indexd self.lazy = [ide_ele] * 2 * self.bottomStartPos #1-indexd def eval(self,k): if self.lazy[k]==self.ide_ele:return if k<self.bottomStartPos:#葉ではないか self.lazy[k*2]+=self.lazy[k]//2 self.lazy[k*2+1]+=self.lazy[k]//2 self.tree[k]+=self.lazy[k] self.lazy[k]=self.ide_ele def add(self,L,R,x,k=None,l=None,r=None): L=max(0,L) R=min(self.n,R) if k==None:return self.add(L,R,x,1,0,self.n) self.eval(k) if L<=l and r<=R:#範囲内 self.lazy[k]=x*(r-l) self.eval(k) elif L<r and l<R: self.add(L,R,x,k*2,l,(l+r)//2) self.add(L,R,x,k*2+1,(l+r)//2,r) self.tree[k]=self.tree[k*2]+self.tree[k*2+1] else:#範囲外 pass def query(self, L,R,k=None,l=None,r=None): L=max(0,L) R=min(self.n,R) #再帰 if k==None:return self.query(L,R,1,0,self.n) self.eval(k) if r<=L or R<=l:#範囲外 return self.ide_ele elif L<=l and r<=R:#範囲内 return self.tree[k] else: leftVal=self.query(L,R,k*2,l,(l+r)//2) rightVal=self.query(L,R,k*2+1,(l+r)//2,r) return leftVal+rightVal class SkipList:#順序付き集合(重複可) def __init__(self,A=[],maxHeight=30): self.length=len(A) self.maxHeight=maxHeight #十分な数 0-indexed self.cnt=defaultdict(int) #ノードは配列の方が高速 self.valIndex=0 self.nextIndex=1 self.sentinel=[None,[None]*(self.maxHeight+1)] for a in A: self.add(a) def __str__(self): elems=[k for k,v in self.cnt.items() for _ in range(v)] return str(elems) def __len__(self): return self.length def __getMaxLTE(self,x): now=self.sentinel for h in range(self.maxHeight,-1,-1): while now[self.nextIndex][h]!=None and now[self.nextIndex][h][self.valIndex]<=x: now=now[self.nextIndex][h] return now def exists(self,x): node=self.__getMaxLTE(x) return node[self.valIndex]==x def minGTE(self,x):#x以上の最小値 node=self.__getMaxLTE(x) if node[self.valIndex]==x: return x else: if node[self.nextIndex][0]==None: return None else: return node[self.nextIndex][0][self.valIndex] def minGT(self,x):#xを超える最小値 node=self.__getMaxLTE(x) if node[self.nextIndex][0]==None: return None else: return node[self.nextIndex][0][self.valIndex] def maxLTE(self,x):#x以下の最大値 node=self.__getMaxLTE(x) return node[self.valIndex] def __pickHeight(self):#0-indexed h=0 while random.randint(0,1)==0: h+=1 return h def add(self,x): self.cnt[x]+=1 if self.exists(x): return self.length+=1 newNodeHeight=self.__pickHeight() newNode=[x,[None]*(newNodeHeight+1)] now=self.sentinel for h in range(self.maxHeight,-1,-1):#newNodeHeightから始めると最初のwhile文の時間がかかる while now[self.nextIndex][h]!=None and now[self.nextIndex][h][self.valIndex]<x: now=now[self.nextIndex][h] #リンクの更新 if h<=newNodeHeight: maxLessThanXNode=now newNode[self.nextIndex][h]=maxLessThanXNode[self.nextIndex][h] maxLessThanXNode[self.nextIndex][h]=newNode def discard(self,x): if not self.exists(x): return self.cnt[x]-=1 if self.cnt[x]!=0: return del self.cnt[x] self.length-=1 now=self.sentinel for h in range(self.maxHeight,-1,-1): while now[self.nextIndex][h]!=None and now[self.nextIndex][h][self.valIndex]<x: now=now[self.nextIndex][h] maxLessThanXNode=now #リンクの更新(xが存在する高さなら) if maxLessThanXNode[self.nextIndex][h]!=None and maxLessThanXNode[self.nextIndex][h][self.valIndex]==x: removeNode=maxLessThanXNode[self.nextIndex][h] maxLessThanXNode[self.nextIndex][h]=removeNode[self.nextIndex][h] class BIT: def __init__(self,N): self.N=N self.values=[0]*(N+1)#1-indexed def add(self,i,x): i+=1 #1-indexed while i<=self.N: self.values[i]+=x i+=i&(-i) def query(self,i):#[0,i] i+=1 #1-indexed ret=0 while i!=0: ret+=self.values[i] i-=i&(-i) return ret #文字列 alphabet=string.ascii_lowercase ALPHABET=string.ascii_uppercase alphaToIdx={c:i if c<"A" else i-26 for i,c in enumerate(alphabet+ALPHABET)} def join(A,s=""): return s.join(list(map(str,A))) def sortStr(s): return "".join(sorted(s)) #数学系 mod=998244353 mod2=1000000007 def invsign(num): return -num def gcd(*args): return reduce(math.gcd,args) def lcm(*args): return reduce(lambda a,b:a*b//math.gcd(a,b),args) def getPrimes(n,returnNums=False):#O(n log log n) if n==0:return [] ret=[True]*(n+1) ret[0]=False ret[1]=False for a in range(2,n+1): if ret[a]: for b in range(a*2,n+1,a): ret[b]=False if returnNums: ret=[i for i,flag in enumerate(ret) if flag] return ret def isPrime(n):#O(√n) if(n<=1):return False i=2 while i*i<=n: if(n%i==0):return False i+=1 return True def factorize(n):#O(√n) b = 2 ret=defaultdict(int) while b * b <= n: while n % b == 0: n //= b ret[b]+=1 b+=1 if n > 1:ret[n]+=1 return ret class EratosthenesFactorization:#O(n log log n) def __init__(self,N): self.primeFactor=[None]*(N+1) for i in range(2,N+1): if self.primeFactor[i]==None: self.primeFactor[i]=i for j in range(i*2,N+1,i): self.primeFactor[j]=i def factorize(self,N):#O(logN) now=N primes=[] while now!=1: primes.append(self.primeFactor[now]) now=now//self.primeFactor[now] return Counter(primes) def getPowList(base,maxExponent,mod): ret=[1]*(maxExponent+1) for i in range(1,maxExponent+1): ret[i]=ret[i-1]*base%mod return ret def getFactorials(n,mod): ret=[1]*(n+1) for a in range(2,len(ret)): ret[a]=ret[a-1]*a if mod!=None: ret[a]%=mod return ret def getFactorialModInvs(n,mod): return [pow(factorial,mod-2,mod) for factorial in getFactorials(n,mod)] def comb_(n,r,factorials,mod=None,factorialModInvs=None):#O(1) if n-r<0:return 0 if mod==None: return factorials[n]//(factorials[n-r]*factorials[r]) else: if factorialModInvs: return (factorials[n]*factorialModInvs[n-r]%mod)*factorialModInvs[r]%mod else: return (factorials[n]*pow(factorials[n-r],mod-2,mod)%mod)*pow(factorials[r],mod-2,mod)%mod class Comb: def __init__(self,n,mod,factorials=None,factorialModInvs=None): self.n=n self.mod=mod if factorials: self.factorials=factorials else: self.factorials=getFactorials(n,mod) if factorialModInvs: self.factorialModInvs=factorialModInvs else: self.factorialModInvs=getFactorialModInvs(n,mod) def comb(self,n,r): if n-r<0:return 0 return (self.factorials[n]*self.factorialModInvs[n-r]%self.mod)*self.factorialModInvs[r]%self.mod def comb2(n,mod=None): if n-2<0:return 0 if mod==None: return (n*(n-1))//2 else: return (n*(n-1)%mod)*pow(2,mod-2,mod) def baseConversion(numbers,base,nextbase): N=len(numbers) if nextbase==10: sum_=0 for i,number in enumerate(numbers): p=(N-i-1) sum_+=number*base**p ret=list(map(int,list(str(sum_)))) elif base==10: number=int(join(numbers)) ret=deque() while 0<number: ret.appendleft(number%nextbase) number//=nextbase if len(ret)==0:ret.append(0) ret=list(ret) else: ret=baseConversion(numbers,base,10) ret=baseConversion(ret,10,nextbase) return ret def getDigitSum(numAsStr): A=list(map(int,list(str(numAsStr)))) return sum(A) def getDivisors(number):#O(√n log √n) ret=[] i=1 while i**2<=number: if number%i==0: ret.append(i) ret.append(number//i) if i==number//i:ret.pop() i+=1 ret.sort() return ret def iceil(a,b,mul=False): return int(((a+(b-1))//b)*(b if mul else 1)) def ifloor(a,b,mul=False): return int((a//b)*(b if mul else 1)) def mex(S):#集合で受け取る ret=0 while ret in S: ret+=1 return ret def isqrt(num):#pypyではisqrtは使えない return int(math.sqrt(num)) def sumTousa(l,r,d,mod=None): if mod==None: N=((r-l)//d+1) return N*(l+r)//2 else: N=((r-l)*pow(d,mod-2,mod)+1) return (N*(l+r)*pow(2,mod-2,mod))%mod def sign(num): if num>=0: return 1 elif num<0: return -1 else: return 0 def inc(x): return x+1 def dec(x): return x-1 def minmax(A): m,M=A[0],A[0] for a in A: m=min(m,a) M=max(M,a) return m,M def getDigits(num): if num==0:return 1 ret=0 while num>0: num//=10 ret+=1 return ret def phi(num):#O(log N) P=factorize(num).keys() return (num//(reduce(mul,P)))*reduce(mul,[p-1 for p in P]) def modinv(num,mod,isprime=True): if isprime: return pow(num,mod-2,mod) else: if gcd(num,mod)==1: return pow(num,phi(mod)-1,mod) else: return None def nearlyEqual(a,b,delta): return abs(a-b)<=delta def getSetTeams(numOfMems,MinNumOfTeams,MaxNumOfTeams): ret=[] teams=[] def f(i): if i==numOfMems: if MinNumOfTeams<=len(teams)<=MaxNumOfTeams: ret.append([team[:] for team in teams]) else: for team in teams: team.append(i) f(i+1) team.pop() if len(teams)<MaxNumOfTeams: teams.append([i]) f(i+1) teams.pop() f(0) return ret def getMedian(A,isSortedList=False): sortedList=A[:] N=len(A) if isSortedList==False: sortedList.sort() return (sortedList[N//2]+sortedList[N-N//2-1])/2 #二分探索 def intBS(left,right,func): while right-left>1: mid=(left+right)//2 if func(mid): left=mid else: right=mid return left,right def floatBS(left,right,func,delta): while right-left>delta: mid=(left+right)/2 if func(mid): left=mid else: right=mid return left,right def bisectLeft(A,x,left=0,right=None,func=lambda x:x): left=left-1 #含まない if right==None:right=len(A)#含む return intBS(left,right,lambda i:A[i]<x)[1] def bisectRight(A,x,left=0,right=None,func=lambda x:x): left=left-1 #含まない if right==None:right=len(A)#含む return intBS(left,right,lambda i:A[i]<=x)[1] def rvBisectLeft(A,x): return intBS(-1,len(A),lambda i:x<A[i])[1] def rvBisectRight(A,x): return intBS(-1,len(A),lambda i:x<=A[i])[1] def binarySearch(A,x): i=bisect.bisect_left(A,x) if i==len(A): ret=-1 else: if A[i]==x: ret=i else: ret=-1 return ret #ビット演算 def getCombs(bits,length): if bits==0:return [0] ret=[] num=2**bits-1 while num<(1<<length): ret.append(num) x=num&(-num) y=num+x z=num&(~y) z//=x z=z>>1 num=(y|z) return ret def getPopCountList(length): list_length=2**length popcount=[0]*list_length for i in range(1,list_length): popcount[i]=i%2+popcount[i//2] return popcount def getBinSubs(num): ret=[] T=num while True: ret.append(T) if T==0:break T=(T-1)&num return ret def getbit(num,i): return (num>>i)&1 def cntbits(num): ret=0 while num: ret+=num&1 num>>=1 return ret def getSetBitPos(num): return [i for i in range(num.bit_length()) if getbit(num,i)] def getUnSetBitPos(num,N): return [i for i in range(N) if getbit(num,i)==0] #座標 rd=[[0,1],[1,0]] crossmove=[[0,-1],[0,1],[1,0],[-1,0]] xmove=[[-1,-1],[1,1],[-1,1],[1,-1]] arround=crossmove+xmove def getDist(x1,y1,x2,y2,sq=False): ret=(x1-x2)**2+(y1-y2)**2 if not sq:ret**=0.5 return ret def getManhattanDist(x1,y1,x2,y2): return abs(x1-x2)+abs(y1-y2) def lrudToYXMat(d): if d.upper()=="L":return [0,-1] elif d.upper()=="R":return [0,1] elif d.upper()=="U":return [-1,0] elif d.upper()=="D":return [1,0] def lrudToYXCoor(d): if d.upper()=="L":return [0,-1] elif d.upper()=="R":return [0,1] elif d.upper()=="U":return [1,0] elif d.upper()=="D":return [-1,0] def within(y,x,H,W): return 0<=y<H and 0<=x<W def rot45(y,x):#√2の倍率は無視 return x+y,x-y def rot90(y,x): return x,-y def rot180(y,x): return -y,-x def rot270(y,x): return -x,y def newPoints(y,x,H,W,move): ret=[] for dy,dx in move: newy=y+dy newx=x+dx if within(newy,newx,H,W): ret.append([newy,newx]) return ret #行列 def getIdMat(width): ret=[[0]*width for i in range(width)] for i in range(width): ret[i][i]=1 return ret def transpose(mat): if mat==[]:return [] ret=[[None for j in range(len(mat))] for i in range(len(mat[0]))] for i in range(len(mat)): for j in range(len(mat[0])): ret[j][i]=mat[i][j] return ret def dot(A,B): B_=copyMat(B) if type(B[0])!=list: B_=transpose([B_]) if len(A[0])!=len(B_):raise ValueError H=len(A) W=len(B_[0]) ret=[[0 for j in range(W)] for i in range(H)] for i in range(H): for j in range(W): for k in range(len(B_)): ret[i][j]+=A[i][k]*B_[k][j] return ret def getMatrixPowDict(A,max_,mod=None): D={} D[1]=A now=2 while now<=max_: D[now]=dot(D[now//2],D[now//2]) if mod!=None: for j in range(len(D[now])): D[now]=list(map(lambda x:x%mod,D[now])) now*=2 return D def matrixPow(A,i,mod=None,matrixPowDict=None): if matrixPowDict==None:matrixPowDict=getMatrixPowDict(A,i) B=bin(i)[2:][::-1] I=[[1 if k==j else 0 for k in range(len(A))] for j in range(len(A))] ret=I for j,v in enumerate(B): if v=="1": ret=dot(ret,matrixPowDict[2**j]) if mod!=None: for j in range(len(ret)): ret[j]=list(map(lambda x:x%mod,ret[j])) return ret def modHakidashi(A,mod,isExtended=False):#return rank rows=len(A) cols=len(A[0]) rank=0 for col in range(cols): #行を入れ替える if isExtended and col==cols-1:break pivot=None for row in range(rank,rows): if A[row][col]!=0: pivot=row break if pivot==None:continue A[rank],A[pivot]=A[pivot],A[rank] #ピボットの値を1にする A[rank]=list(map(lambda x:x*pow(A[rank][col],mod-2,mod),A[rank])) #ピボットのある列の値をすべて0にする for row in range(rows): if row==rank:continue constantFactor=A[row][col] for col2 in range(cols): A[row][col2]-=(A[rank][col2]*constantFactor)%mod A[row][col2]%=mod rank+=1 return rank def hakidashi(A,eps,isExtended=False):#未検証 rows=len(A) cols=len(A[0]) rank=0 for col in range(cols): #行を入れ替える if isExtended and col==cols-1:break pivot=None maxAbs=-inf for row in range(rank,rows): if abs(A[row][col])>eps and abs(A[row][col])>maxAbs:#計算誤差を小さくするため絶対値が大きいものを優先する pivot=row maxAbs=abs(A[row][col]) break if pivot==None:continue A[rank],A[pivot]=A[pivot],A[rank] #ピボットの値を1にする A[rank]=list(map(lambda x:x/A[rank][col],A[rank])) #ピボットのある列の値をすべて0にする for row in range(rows): if row==rank and abs(A[row][col])>eps:continue constantFactor=A[row][col] for col2 in range(cols): A[row][col2]-=A[rank][col2]*constantFactor rank+=1 return rank #一次元配列 class wideRangeCumSum: def __init__(self): self.deltaList=defaultdict(int) self.cumsum={} self.keys_=[] def keys(self): return self.keys_ def add(self,i,x): self.deltaList[i]+=x def updateCumSum(self): self.keys_=sorted(self.deltaList.keys()) for i,curKey in enumerate(self.keys_): self.cumsum[curKey]=self.deltaList[curKey] if 0<i: prevKey=self.keys_[i-1] self.cumsum[curKey]+=self.cumsum[prevKey] def get(self,i): if i in self.cumsum:#O(1) return self.cumsum[i] else:#O(log len(cumsumKeys)) j=bisect_right(self.keys_,i)-1 if j==-1: return 0 else: return self.cumsum[self.keys_[j]] def getAllRanges(self,includingEnd=False): ret=[] for i in range(len(self.keys_)-1): left=self.keys_[i] right=self.keys_[i+1] ret.append([left,right]) if includingEnd: ret.append([self.keys[-1],None]) return ret def zaatsu(A):#座標圧縮 B=list(set(A)) B.sort() ret=[] for a in A: ret.append(bisect.bisect_left(B,a)) return ret def getCumSum(A): N=len(A) ret=[0]*(N+1) for i in range(1,N+1): ret[i]=ret[i-1]+A[i-1] return ret def imos(deltaList): ret=deltaList[:] for i in range(1,len(deltaList)): ret[i]=ret[i-1]+deltaList[i] return ret def nextPermutation(A): N=len(A) for i in range(N-1-1,-1,-1): if A[i]<A[i+1]: for j in range(N-1,-1,-1): if A[i]<A[j]: A[i],A[j]=A[j],A[i] A[i+1:]=A[i+1:][::-1] return True return None def listmap(A,func): return list(map(func,A)) def getValsWithIdx(A): return [[val,i] for i,val in enumerate(A)] def getPos(A,isInjective=False): if isInjective: ret=defaultdict(int) for i,a in enumerate(A): ret[a]=i else: ret=defaultdict(list) for i,a in enumerate(A): ret[a].append(i) return ret def cntIf(A,func): ret=0 for a in A: if func(a): ret+=1 return ret def cntUnique(A): return len(Counter(A)) def linkedsort(*args,key=None,reverse=False): args=list(args) mat=list(zip(*args)) if key==None: mat.sort(reverse=reverse) else: mat.sort(key=key,reverse=reverse) mat=list(zip(*mat)) for i in range(len(args)): args[i][:]=mat[i] def findIf(A,func): for i,a in enumerate(A): if func(a): return i return -1 def rfindIf(A,func): for i in range(len(A)-1,-1,-1): if func(A[i]): return i return -1 def isSub(a,A): now=0 N=len(A) for i in range(len(a)): while now<N: if a[i]==A[now]: now+=1 break else: now+=1 else: return False return True def rfind(A,val): for i in range(len(A)-1,-1,-1): if A[i]==val: return i return -1 def cntInv(A):#O(N log N) ret=0 A=zaatsu(A) bit=BIT(len(A)) for i in range(len(A)): ret+=i-bit.query(A[i]) bit.add(A[i],1) return ret def cntInv2v(A):#O(N) if A==[]:return 0 maxval=max(A) cnt=0 ret=0 for a in A: if a==maxval: cnt+=1 else: ret+=cnt return ret def RLE(A): ret=[] prev=None for a in A: if prev==a: ret[-1][1]+=1 else: ret.append([a,1]) prev=a return ret def LIS(A):#最長増加部分列 O(N log N) dp=[inf]*len(A) #dp[i]=部分列の長さが(i+1)の時の最終要素の最小値 for a in A: dp[bisect.bisect_left(dp,a)]=a return bisect.bisect_left(dp,inf-1) def replace(A,curVal,newVal): return [newVal if a==curVal else a for a in A] def getLoopIdx(*args): ret=[] code="" for i,arg in enumerate(args): code+=f"{' '*i}for {alphabet[i]} in {arg}:\n" code+=f"{' '*len(args)}ret.append(({','.join(alphabet[:len(args)])}))" exec(code) return ret def zalgo(A):#O(N) N=len(A) ret=[0]*N ret[0]=N i=1 j=0 while i<N: while i+j<N and A[j]==A[i+j]: j+=1 ret[i]=j if j==0: i+=1 else: k=1 while i+k<N and k+ret[k]<j: ret[i+k]=ret[k] k+=1 i+=k j-=k return ret def getTrueIdx(A): return [i for i,a in enumerate(A) if a] def getUnique(A): return list(Counter(A).keys()) def rvsort(A): return A.sort(reverse=True) #多次元配列 def copyMat(A): N=len(A) dim=1 cur=A while len(cur)>0 and type(cur[0]) in (tuple,list): dim+=1 cur=cur[0] if dim==1: return A[:] else: ret=[None]*N for i in range(N): ret[i]=copy(A[i]) return ret def sqlist(H,W,initVal=None): return [[initVal]*W for i in range(H)] def cblist(H,W,Z,initVal=None): return [[[initVal]*Z for j in range(W)] for i in range(H)] def getCol(A,col): return [A[i][col] for i in range(len(A))] def getRangeSumCumSumMat(cumSum,y1,x1,y2,x2):#1-indexed 閉区間 ret=cumSum[y2][x2] ret-=cumSum[y2][x1-1] ret-=cumSum[y1-1][x2] ret+=cumSum[y1-1][x1-1] return ret def getCumSumMat(mat): H,W=len(mat),len(mat[0]) ret=sqlist(H+1,W+1,0) for i in range(1,H+1): for j in range(1,W+1): ret[i][j]+=ret[i][j-1]+mat[i-1][j-1] for j in range(1,W+1): for i in range(1,H+1): ret[i][j]+=ret[i-1][j] return ret class CumSumByValue:#メモリO(N) 1-indexed def __init__(self,A): self.cumsum=defaultdict(None) for a in set(A): self.cumsum[a]=wideRangeCumSum() for i,a in enumerate(A): self.cumsum[a].add(i+1,1) for a in set(A): self.cumsum[a].updateCumSum() def get(self,key,i): if key in self.cumsum: return self.cumsum[key].get(i) else: return 0 def imosMat(deltaList): H,W=len(deltaList),len(deltaList[0]) ret=copyMat(deltaList) for i in range(H): for j in range(1,W): ret[i][j]+=ret[i][j-1] for j in range(W): for i in range(1,H): ret[i][j]+=ret[i-1][j] return ret def yxToX(y,x,H,W): return y*W+x def yxzToX(y,x,z,H,W,D): return y*(W*D)+x*D+z def cntMat(mat,val): cnt=0 for i in range(len(mat)): for j in range(len(mat[i])): if mat[i][j]==val: cnt+=1 return cnt def mapping(A,func): N=len(A) dim=1 cur=A while len(cur)>0 and type(cur[0]) in (tuple,list): dim+=1 cur=cur[0] if dim==1: return list(map(func,A)) else: ret=[None]*N for i in range(N): ret[i]=mapping(A[i],func) return ret def rot90Mat(mat): H=len(mat[0]) W=len(mat) ret=sqlist(H,W) for i in range(H): for j in range(W): ret[i][j]=mat[j][H-1-i] return ret def addWall(A,chr="#"): H=len(A) W=len(A[0]) type_=type(A[0]) if type_==str: for i in range(H): A[i]+=chr A.append(chr*(W+1)) else: for i in range(H): A[i].append(chr) A.append([chr]*(W+1)) def findMat(mat,val): for i in range(len(mat)): for j in range(len(mat[i])): if mat[i][j]==val:return (i,j) return None def flatten(mat): return list(itertools.chain.from_iterable(mat)) def listToMat(A,H,W): N=len(A) ret=sqlist(H,W) for i in range(H): for j in range(W): ret[i][j]=A[i*W+j] return ret def sliceMat(mat,top,bottom,left,right):#閉区間 ret=[] for i in range(top,bottom+1): if 0<=i<len(mat): ret.append(mat[i][left:right+1]) if ret[-1]==[]:ret.pop() return ret def listToTuple(A): ret=[] for item in A: if isinstance(item, list): ret.append(tuple(listToTuple(item))) elif isinstance(item, tuple): ret.append(listToTuple(item)) else: ret.append(item) ret=tuple(ret) return ret #グラフ class Doubling:#パスグラフ用 O(log dist * N) def __init__(self,pathGraph,maxDist): self.bitLength=len(bin(maxDist)[2:]) self.N=len(pathGraph) self.D=sqlist(self.bitLength,self.N,list) for i in range(self.bitLength): if i==0: self.D[0]=pathGraph[:] else: for j in range(self.N): self.D[i][j]=self.D[i-1][self.D[i-1][j]] def getVal(self,start,dist): ret=start distBitLength=len(bin(dist)[2:]) for i in range(distBitLength): if ((dist>>i)&1)==1: ret=self.D[i][ret] return ret class CyclicPath:#入力はパス(パスグラフではない) O(N) def __init__(self,path): visited=defaultdict(bool) cycleStartVal=None cycleEndIndex=None for i,u in enumerate(path): if visited[u]: cycleStartVal=u cycleEndIndex=i break visited[u]=True cycleStartIndex=path.index(cycleStartVal) self.acyclicPath=path[:cycleStartIndex] self.cyclicPath=path[cycleStartIndex:cycleEndIndex] def getVal(self,index):#O(1) if index<=len(self.acyclicPath)-1: return self.acyclicPath[index] else: index-=len(self.acyclicPath) index%=len(self.cyclicPath) return self.cyclicPath[index] def getPath(self): return self.acyclicPath,self.cyclicPath class FordFulkerson: def __init__(self,edges,V,s,t): self.V=V self.used=[False]*V self.G=[[] for a in range(V)] self.s=s self.t=t for edge in edges: self.G[edge.x].append({"x":edge.x,"y":edge.y,"cap":edge.cost,"rev":len(self.G[edge.y])}) self.G[edge.y].append({"x":edge.y,"y":edge.x,"cap":0,"rev":len(self.G[edge.x])-1}) def dfs(self,v,t,f=inf): if v==t:return f self.used[v]=True for a in range(len(self.G[v])): x=self.G[v][a]["x"] y=self.G[v][a]["y"] cap=self.G[v][a]["cap"] rev=self.G[y][self.G[x][a]["rev"]] if self.used[y] or cap==0:continue f2=self.dfs(y,t,min(f,cap)) if f2>0: self.G[v][a]["cap"]-=f2 rev["cap"]+=f2 return f2 return 0 def maxflow(self): flow=0 while True: self.used=[False]*self.V zouka=self.dfs(self.s,self.t) if zouka==0:break flow+=zouka return flow def edgesToUG(edges,N): G=[[] for i in range(N)] for edge in edges: u,v=edge G[u].append(v) G[v].append(u) return G def edgesToDG(edges,N):#未検証 G=[[] for i in range(N)] for edge in edges: u,v=edge G[u].append(v) return G def UGToEdges(G): N=len(G) edges=[] for i in range(N): for j in G[i]: if i<j: edges.append((i,j)) return edges def DGToEdges(G):#未検証 N=len(G) edges=[] for i in range(N): for j in G[i]: edges.append((i,j)) return edges def dijkstra(edges,N,start):#O(V+E*logV) G=[[] for a in range(N)] for edge in edges: G[edge.x].append([edge.cost,edge.y]) mincost=[inf]*N Q=[[0,start]] while len(Q)>0: curCost,cur=heappop(Q) if mincost[cur]!=inf:continue mincost[cur]=curCost for edgeCost,nxt in G[cur]: newCost=curCost+edgeCost if mincost[nxt]==inf:#高速化のため heappush(Q,[newCost,nxt]) return mincost def dictDijkstra(edges,start): mincost=defaultdict(lambda x:inf) visited=defaultdict(bool) G=defaultdict(list) for edge in edges: G[edge.x].append([edge.cost,edge.y]) Q=[] heappush(Q,[0,start]) while len(Q)>0: nowcost,nowx=heappop(Q) if visited[nowx]:continue visited[nowx]=True mincost[nowx]=nowcost for cost,y in G[nowx]: if visited[y]:continue #高速化 newcost=nowcost+cost heappush(Q,[newcost,y]) return mincost def dictBFS01(edges,start): G=defaultdict(list) for edge in edges: G[edge.x].append((edge.y,edge.cost)) mincost=defaultdict(lambda:inf) Q=deque([[start,0]]) while Q: cur,cost=Q.popleft() if mincost[cur]!=inf:continue mincost[cur]=cost for nxt,edgeCost in G[cur]: if edgeCost==1: Q.append([nxt,cost+edgeCost]) else: Q.appendleft([nxt,cost+edgeCost]) return mincost def shortestBFS(adjList,start): N=len(adjList) mincost=[inf]*N mincost[start]=0 Q=deque([start]) while Q: now=Q.popleft() for tugi in adjList[now]: if mincost[tugi]==inf: mincost[tugi]=mincost[now]+1 Q.append(tugi) return mincost def dictShortedBFS(adjList,start): mincost=defaultdict(lambda:inf) mincost[start]=0 Q=deque([start]) while Q: now=Q.popleft() for tugi in adjList[now]: if mincost[tugi]==inf: mincost[tugi]=mincost[now]+1 Q.append(tugi) return mincost def warshallFloyd(adjMat):#O(N**3) V=len(adjMat) mincost=[[inf for j in range(V)] for i in range(V)] for i in range(V): for j in range(V): mincost[i][j]=adjMat[i][j] for i in range(V):mincost[i][i]=0 #この行をコメントすると同じ頂点を一回以上辺を通ってたどり着く場合の最短距離が分かる for k in range(V): for s in range(V): for t in range(V): if mincost[s][k]==inf or mincost[k][t]==inf:continue mincost[s][t]=min(mincost[s][t],mincost[s][k]+mincost[k][t]) return mincost def bellemanFord(edges,N,start): mincost=[inf]*N mincost[start]=0 for _ in range(N): for edge in edges: if mincost[edge.x]==inf:continue mincost[edge.y]=min(mincost[edge.y],mincost[edge.x]+edge.cost) return mincost def getConnectedNodes(adjList,start): S=[start] connectedNodes=set([start]) while len(S)>0: cur=S.pop() for nxt in adjList[cur]: if nxt not in connectedNodes: connectedNodes.add(nxt) S.append(nxt) return connectedNodes def topologicalSort(adjList):#閉路がある場合Noneを返す path=[] #入次数 indeg=[0]*len(adjList) for u in range(len(adjList)): for v in adjList[u]: indeg[v]+=1 isolatedNodes=[] #初めから入次数が0の頂点をスタックに入れる for u in range(len(adjList)): if indeg[u]==0: isolatedNodes.append(u) while isolatedNodes: u=isolatedNodes.pop() path.append(u) for v in adjList[u]: indeg[v]-=1 if indeg[v]==0: isolatedNodes.append(v) return path if len(path)==len(adjList) else None def SSC(edges,N):#強連結成分分解 O(VlogV+E) #DFS一回目 G=[[] for i in range(N)] for edge in edges: G[edge.x].append(edge.y) nokori=set(list(range(N))) visited=defaultdict(bool) kaerigake=[] while nokori: start=nokori.pop() S=[(start,True)]#(start,行き道か) while S: now,isIki=S.pop() if visited[(now,isIki)]:continue visited[(now,isIki)]=True nokori.discard(now) if isIki: S.append((now,False)) for tugi in G[now]: if visited[(tugi,True)]: pass else: S.append((tugi,True)) else: kaerigake.append(now) numbers=[None]*N for i,v in enumerate(kaerigake): numbers[v]=i #DFS二回目 G=[[] for i in range(N)] for edge in edges: G[edge.y].append(edge.x) maxQ=[(numbers[i],i) for i in range(N)] maxQ.sort(reverse=True) visited=[False]*N ret=[] for tmp,start in maxQ: if visited[start]:continue#既に訪れていたら visited[start]=True S=[start] ret.append([]) while S: now=S.pop() ret[-1].append(now) for tugi in G[now]: if not visited[tugi]: visited[tugi]=True S.append(tugi) return ret #上流の強連結成分から def isConnected(adjList): S=[0] V=[False]*len(adjList) V[0]=True while S: now=S.pop() for tugi in adjList[now]: if not V[tugi]: V[tugi]=True S.append(tugi) return all(V) def isNibuGraph(adjList): V=len(adjList) colors=[None]*V for s in range(V): if colors[s]==None: S=[s] colors[s]=0 while S: cur=S.pop() for nxt in adjList[cur]: if colors[nxt]==None: colors[nxt]=1-colors[cur] S.append(nxt) elif colors[nxt]==colors[cur]: return False else: pass return True def paintNibuGraph(adjList): N=len(adjList) colors=[None]*N for start in range(N): if colors[start]==None: S=[start] colors[start]=0 while S: cur=S.pop() for nxt in adjList[cur]: if colors[nxt]==None: colors[nxt]=1-colors[cur] S.append(nxt) elif colors[nxt]==colors[cur]: return None else: pass return colors def diam(adjMat):#グラフの直径を求める mincost=warshallFloyd(adjMat) ret=-inf for i in range(len(adjMat)): for j in range(len(adjMat)): ret=max(ret,mincost[i][j]) return ret def reverseDegree(adjList): N=len(adjList) ret=[[] for i in range(N)] for i in range(N): for next_ in adjList[i]: ret[next_].append(i) return ret def gridToGraph(A,move,obstacle="#"): H=len(A) W=len(A[0]) G=defaultdict(list) for y in range(H): for x in range(W): for d in move: nextY=y+d[0] nextX=x+d[1] if within(nextY,nextX,H,W) and A[nextY][nextX]!=obstacle: G[(y,x)].append((nextY,nextX)) return G def TSP(adjMat,start=None):#O(N**2 * 2**N) #dp[bin_][i]=bin_のbitが立っている箇所を通る&最後に頂点iに到達する場合の最小値 N=len(adjMat) dp=sqlist(2**N,N,inf) dp[0][start]=0 for curbin in range(2**N-1): for cur in range(N): for nxt in range(N): if getbit(curbin,nxt)==0: nxtbin=curbin|(1<<nxt) if dp[curbin][cur]!=inf: dp[nxtbin][nxt]=min(dp[nxtbin][nxt],dp[curbin][cur]+adjMat[cur][nxt]) return dp def getConnectedComponents(edges,N,updateVertexNumbers=True): U=UnionFind(N) for edge in edges: u=edge.x v=edge.y U.union(u,v) ret={} for edge in edges: u=edge.x v=edge.y root=U.root(u) if root not in ret: ret[root]={"N":U.unionSize(root),"edges":[]} ret[root]["M"]+=1 ret[root]["edges"].append(Edge(u,v,edge.cost)) for u in range(N): if U.unionSize(u)==1: ret[u]={"N":1,"edges":[]} if updateVertexNumbers: for root in U.roots(): vertexNums=set() for edge in ret[root]["edges"]: vertexNums.add(edge.x) vertexNums.add(edge.y) vertexNums=sorted(vertexNums) pos=getPos(vertexNums,isInjective=True) for i in range(len(ret[root]["edges"])): ret[root]["edges"][i].x=pos[ret[root]["edges"][i].x] ret[root]["edges"][i].y=pos[ret[root]["edges"][i].y] ret=list(ret.values()) return ret def getPostOrder(adjList,start): ret=[] S=[(start,True)] departed=[False]*len(adjList) while S: cur,iki=S.pop() if iki: departed[cur]=True S.append((cur,False)) for nxt in adjList[cur]: if departed[nxt]:continue S.append((nxt,True)) else: ret.apend(cur) return ret #グラフ(木) def edgesToTree(N,edges,root): parents=[None]*N children=[[] for i in range(N)] G=edgesToUG(edges,N) S=[root] V=[False]*N V[root]=True while S: cur=S.pop() for nxt in G[cur]: if not V[nxt]: V[nxt]=True S.append(nxt) children[cur].append(nxt) parents[nxt]=cur return parents,children def treeToUG(parents,children): N=len(parents) ret=[[] for i in range(N)] for i in range(N): if parents[i]!=None: ret[i].append(parents[i]) ret[i]+=children[i] return ret def getLeafs(parents,children): ret=[] N=len(parents) for i in range(N): deg=0 if parents[i]!=None:deg+=1 deg+=len(children[i]) if deg==1: ret.append(i) return ret def getTreeDepths(parents,children): root=parents.index(None) N=len(parents) S=[root] ret=[None]*N ret[root]=0 while S: cur=S.pop() for child in children[cur]: S.append(child) ret[child]=ret[cur]+1 return ret def doubleSweep(edges,N):#木の直径を求める G=[[] for i in range(N)] for e in edges: G[e.x].append((e.y,e.cost)) start=0 maxmincost=None for _ in range(2): S=[start] mincost=[inf]*N mincost[start]=0 while S: now=S.pop() nowcost=mincost[now] for e in G[now]: if mincost[e[0]]==inf: mincost[e[0]]=nowcost+e[1] S.append(e[0]) maxmincost=max(mincost) start=mincost.index(maxmincost) return maxmincost def kruskal(N,Edges):#最小全域木 O(M logN) U=UnionFind(N) Edges.sort(key=lambda x:x.cost) treeEdges=[] for i in range(len(Edges)): edge=Edges[i] x=edge.x y=edge.y cost=edge.cost if not U.same(x,y): treeEdges.append(Edge(x,y,cost)) U.union(x,y) return treeEdges def extractSimpleUGCycle(G):#O(N log N) N=len(G) deg=[len(G[u]) for u in range(N)] ret=copyMat(G) Q=[u for u in range(N) if deg[u]==1] for u in range(N): ret[u]=set(ret[u]) while Q: u=Q.pop() v=ret[u].pop() ret[v].remove(u) deg[v]-=1 if deg[v]==1: Q.append(v) for u in range(N): ret[u]=list(ret[u]) return ret #他 class MinMaxWithIndex: def __init__(self,values=[],indices=[]): self.minVal=None self.minIndex=None self.maxVal=None self.maxIndex=None for i in range(len(values)): self.update(values[i],indices[indices[i]]) def update(self,val,index): if self.minVal==None or self.minVal>val: self.minVal=val self.minIndex=index if self.maxVal==None or self.maxVal<val: self.maxVal=val self.maxIndex=index def min(self): return self.minVal,self.minIndex def max(self): return self.maxVal,self.maxIndex def getMaxIndex(A): max_=-inf idx=None for i,a in enumerate(A): if max_<a: max_=a idx=i return idx def getMinIndex(A): min_=-inf idx=None for i,a in enumerate(A): if a<min_: min_=a idx=i return idx #入力 def inputs(row=None,func=None): ret=None if row==None: ret=input().split() else: ret=[input() for _ in range(row)] if func!=None:ret=mapping(ret,func) return ret def inputmat(row,func=None,transpose=False): if transpose: ret=None col=None for i in range(row): A=inputs() if i==0: col=len(A) ret=[[None]*row for _ in range(col)] for j in range(col): ret[j][i]=A[j] else: ret=[inputs() for _ in range(row)] if func!=None:ret=mapping(ret,func) return ret def inputint(): return int(input()) def inputints(row=None,func=None): ret=inputs(row,int) if func!=None:ret=mapping(ret,func) return ret def inputintmat(row,func=None,transpose=False): ret=inputmat(row,int,transpose) if func!=None:ret=mapping(ret,func) return ret def inputUG(N,M): G=[[] for i in range(N)] for i in range(M): u,v=inputints() u-=1 v-=1 G[u].append(v) G[v].append(u) return G def inputDG(N,M): G=[[] for i in range(N)] for i in range(M): u,v=inputints() u-=1 v-=1 G[u].append(v) return G def inputUEdges(M): Edges=[] for i in range(M): a,b=inputints() a-=1 b-=1 Edges.append(Edge(a,b,1)) Edges.append(Edge(b,a,1)) return Edges def inputDEdges(M): Edges=[] for i in range(M): a,b=inputints() a-=1 b-=1 Edges.append(Edge(a,b,1)) return Edges def inputTree(N,root): parents=[None]*N children=[[] for i in range(N)] M=N-1 G=inputUG(N,M) S=[root] V=[False]*N V[root]=True while S: now=S.pop() for next_ in G[now]: if not V[next_]: V[next_]=True S.append(next_) children[now].append(next_) parents[next_]=now return parents,children def fillNone(mat,width): N=len(mat) ret=copyMat(mat) for i in range(N): for _ in range(width-len(ret[i])): ret[i].append(None) return ret #出力 def yn(flag,trueOutput="Yes",falseOutput="No"): print(trueOutput if flag else falseOutput) def YN(flag): print("YES" if flag else "NO") def no(*args): print(f"{inspect.currentframe().f_back.f_lineno}: {' '.join(list(map(str,args)))}") def printmat(A,sep=" ",fill=0): if sep==" " and fill==0: for a in A: print(*a) else: for a in A: print(sep.join(list(map(lambda x:str(x).center(fill),a)))) ############################################################################### N,M=inputints() G=inputUG(N,M) Q=inputint() XK=inputintmat(Q) dp=sqlist(4,N) for cnt in range(4): for u in range(N): dp[cnt][u]={u+1} if cnt>0: for nxt in G[u]: dp[cnt][u]|=dp[cnt-1][nxt] for x,k in XK: x-=1 print(sum(dp[k][x]))
ConDefects/ConDefects/Code/abc254_e/Python/44452913
condefects-python_data_1865
# BFS import collections N, M = map(int, input().split()) AB = [list(map(int, input().split())) for _ in range(M)] Q = int(input()) XK = [list(map(int, input().split())) for _ in range(Q)] graph = collections.defaultdict(list) for i in range(0, M): a = AB[i][0] b = AB[i][1] graph[a].append(b) graph[b].append(a) for i in range(Q): x = XK[i][0] k = XK[i][1] queue = [] if k != 0: queue.append(x) dist = collections.defaultdict(lambda: -1) dist[x] = 0 while queue: q = queue.pop() if dist[q] >= k: continue for v in graph[q]: if dist[v] != -1: continue dist[v] = dist[q] + 1 queue.append(v) print(sum(dist.keys())) # BFS import collections N, M = map(int, input().split()) AB = [list(map(int, input().split())) for _ in range(M)] Q = int(input()) XK = [list(map(int, input().split())) for _ in range(Q)] graph = collections.defaultdict(list) for i in range(0, M): a = AB[i][0] b = AB[i][1] graph[a].append(b) graph[b].append(a) for i in range(Q): x = XK[i][0] k = XK[i][1] queue = [] if k != 0: queue.append(x) dist = collections.defaultdict(lambda: -1) dist[x] = 0 while queue: q = queue.pop(0) if dist[q] >= k: continue for v in graph[q]: if dist[v] != -1: continue dist[v] = dist[q] + 1 queue.append(v) print(sum(dist.keys()))
ConDefects/ConDefects/Code/abc254_e/Python/44691275
condefects-python_data_1866
def solve(n, m, a, b): # 0-indexへ変換 a = [_-1 for _ in a] b = [_-1 for _ in b] # 対角要素とのズレがどれぐらいのパターンを使っているか S = set() # m個のパターンが必要 for i, j in zip(a, b): S.add((i+j) % n) i = 0 while len(S) < m: S.add(i) i += 1 # パターンごとにn個のマスを埋められる(i+j = d mod nとなる(i,j)のペア) ans = [] for d in S: for i in range(n): # ズレが異なるパターン同士は重なり合うことはないので、解として追記していく j = (n - 1 - i + d) % n ans.append((i+1, j+1)) return ans n, m = map(int, input().split()) a, b = zip(*[map(int, input().split()) for i in range(m)]) ans = solve(n, m, a, b) print(len(ans)) for i, j in ans: print(i, j) def solve(n, m, a, b): # 0-indexへ変換 a = [_-1 for _ in a] b = [_-1 for _ in b] # 対角要素とのズレがどれぐらいのパターンを使っているか S = set() # m個のパターンが必要 for i, j in zip(a, b): S.add((i+j) % n) i = 0 while len(S) < m: S.add(i) i += 1 # パターンごとにn個のマスを埋められる(i+j = d mod nとなる(i,j)のペア) ans = [] for d in S: for i in range(n): # ズレが異なるパターン同士は重なり合うことはないので、解として追記していく j = (d - i) % n ans.append((i+1, j+1)) return ans n, m = map(int, input().split()) a, b = zip(*[map(int, input().split()) for i in range(m)]) ans = solve(n, m, a, b) print(len(ans)) for i, j in ans: print(i, j)
ConDefects/ConDefects/Code/arc176_a/Python/55031190
condefects-python_data_1867
N,M = map(int,input().split()) S = set() for _ in range(M): A,B = map(int,input().split()) S.add((A+B)%N) for i in range(M+1): if len(S)==M: break S.add(i) print(N*M) for v in S: for a in range(N): print(a+1,(v-a)%N+1) N,M = map(int,input().split()) S = set() for _ in range(M): A,B = map(int,input().split()) S.add((A+B)%N) for i in range(M+1): if len(S)==M: break S.add(i) print(N*M) for v in S: for a in range(N): print(a+1,(v-2-a)%N+1)
ConDefects/ConDefects/Code/arc176_a/Python/53542158
condefects-python_data_1868
N, M = map(int,input().split()) print(N*M) L = [0]*N count = 0 for _ in range(M): a, b = map(int,input().split()) d = (a-b)%N if L[d]==1: continue for _ in range(N): print(a,b) a += 1 b += 1 if a==N+1: a=1 if b==N+1: b=1 L[d]=1 count += 1 for i in range(M): if count==M: break if L[i]==0: a, b = i,0 for _ in range(N): print(a,b) a += 1 b += 1 if a==N+1: a=1 if b==N+1: b=1 L[i]=1 count += 1 N, M = map(int,input().split()) print(N*M) L = [0]*N count = 0 for _ in range(M): a, b = map(int,input().split()) d = (a-b)%N if L[d]==1: continue for _ in range(N): print(a,b) a += 1 b += 1 if a==N+1: a=1 if b==N+1: b=1 L[d]=1 count += 1 for i in range(M): if count==M: break if L[i]==0: a, b = i+1,1 for _ in range(N): print(a,b) a += 1 b += 1 if a==N+1: a=1 if b==N+1: b=1 L[i]=1 count += 1
ConDefects/ConDefects/Code/arc176_a/Python/53668393
condefects-python_data_1869
N, M = map(int, input().split()) S = set() for _ in range(M): a, b = map(int, input().split()) a -= 1; b -= 1 S.add((a+b)%N) T = len(S) - M for i in range(N): if T == 0: break if not i in S: T -= 1 S.add(i) ret = [] for i in S: for j in range(N): ret.append((j, (i - j) % N)) print(len(ret)) for u, v in ret: print(u+1, v+1) N, M = map(int, input().split()) S = set() for _ in range(M): a, b = map(int, input().split()) a -= 1; b -= 1 S.add((a+b)%N) T = M - len(S) for i in range(N): if T == 0: break if not i in S: T -= 1 S.add(i) ret = [] for i in S: for j in range(N): ret.append((j, (i - j) % N)) print(len(ret)) for u, v in ret: print(u+1, v+1)
ConDefects/ConDefects/Code/arc176_a/Python/53516629
condefects-python_data_1870
def solve(n, m, a, b): # 対角要素との列の位置ズレが異なるm種を用意 S = set([(i+j)%n for i, j in zip(a, b)]) for i in range(n): if len(S) == m: break S.add(i) # ズレごとのマスを埋めていく ans = [] for d in S: for i in range(n): j = (d - i) % n ans.append((i+1, j+1)) return ans n, m = map(int, input().split()) a, b = zip(*[map(int, input().split()) for i in range(m)]) ans = solve(n, m, a, b) print(len(ans)) for i, j in ans: print(i, j) def solve(n, m, a, b): a = [_-1 for _ in a] b = [_-1 for _ in b] # 対角要素との列の位置ズレが異なるm種を用意 S = set([(i+j)%n for i, j in zip(a, b)]) for i in range(n): if len(S) == m: break S.add(i) # ズレごとのマスを埋めていく ans = [] for d in S: for i in range(n): j = (d - i) % n ans.append((i+1, j+1)) return ans n, m = map(int, input().split()) a, b = zip(*[map(int, input().split()) for i in range(m)]) ans = solve(n, m, a, b) print(len(ans)) for i, j in ans: print(i, j)
ConDefects/ConDefects/Code/arc176_a/Python/55106959
condefects-python_data_1871
A=int(input()) B=int(input()) print(str(A)+str(B*10//2)) A=int(input()) B=int(input()) print(str(A)+"0"+str(B*10//2))
ConDefects/ConDefects/Code/arc131_a/Python/45453669
condefects-python_data_1872
a=input() b=str(int(input())*5) print('1'+a+b) a=input() b=str(int(input())*5) print(a+'0'+b)
ConDefects/ConDefects/Code/arc131_a/Python/43033195
condefects-python_data_1873
a = int(input()) b = int(input()) print(str(a)+str(b*5)) a = int(input()) b = int(input()) print(str(a)+"0"+str(b*5))
ConDefects/ConDefects/Code/arc131_a/Python/44093333
condefects-python_data_1874
a = input() b = input() ans = a if int(b)%2==1: ans += str(int(b+"0")//2) else: ans += str(int(b)//2) print(ans) a = input() b = input() ans = a+"0" if int(b)%2==1: ans += str(int(b+"0")//2) else: ans += str(int(b)//2) print(ans)
ConDefects/ConDefects/Code/arc131_a/Python/42234750
condefects-python_data_1875
a=input() b=input() print (a+str(int(b)*5)) a=input() b=input() print (str(int(b)*5)+a)
ConDefects/ConDefects/Code/arc131_a/Python/45086721
condefects-python_data_1876
A = int(input()) B = int(input()) if B%2==1: B *= 10 C = B//2 # A = list(str(A)) # print(A) D = len(str(C)) print(A*(10**D)+C) A = int(input()) B = int(input()) if B%2==1: B *= 10 C = B//2 # A = list(str(A)) # print(A) D = len(str(C))+1 print(A*(10**D)+C)
ConDefects/ConDefects/Code/arc131_a/Python/42235783
condefects-python_data_1877
import sys import copy from collections import deque,defaultdict import math import heapq from itertools import accumulate import itertools from functools import reduce #import pypyjit #pypyjit.set_param('max_unroll_recursion=-1') sys.setrecursionlimit(10**8) mod = 10**9 + 7 INF = math.inf input = lambda: sys.stdin.readline().rstrip() ii = lambda: int(input()) mi = lambda: map(int, input().split()) li = lambda: list(mi()) from functools import lru_cache #@lru_cache(maxsize=None) def doubling(n,mod): a,res,c,c1 = 1,0,1,0 while n > 0: if n&1: res = (a*pow(10,c1,mod)+res)%mod c1 += c a = (a+a*pow(10,c,mod))%mod n >>= 1 c *= 2 return res def euler_phi(n): res = n for x in range(2,n+1): if x ** 2 > n: break if n%x==0: res = res//x * (x-1) while n%x==0: n //= x if n!=1: res = res//n * (n-1) return res def divisors(n): lower_divisors, upper_divisors = [], [] i = 1 while i * i <= n: if n % i == 0: lower_divisors.append(i) if i != n // i: upper_divisors.append(n // i) i += 1 return lower_divisors + upper_divisors[::-1] def calc(K:int)->int: if K == 1 or K == 2:return 1 if K % 2 == 0: K //= 2 if math.gcd(K,10) != 1:return -1 for i in divisors(euler_phi(K)): if pow(10,i,K) == 1: j = 1 while True: if doubling(i*j,K) == 0:return i j += 1 def main(): T = ii() ans = [] for i in range(T): K = ii() ans.append(calc(K)) print(*ans,sep="\n") if __name__=="__main__": main() import sys import copy from collections import deque,defaultdict import math import heapq from itertools import accumulate import itertools from functools import reduce #import pypyjit #pypyjit.set_param('max_unroll_recursion=-1') sys.setrecursionlimit(10**8) mod = 10**9 + 7 INF = math.inf input = lambda: sys.stdin.readline().rstrip() ii = lambda: int(input()) mi = lambda: map(int, input().split()) li = lambda: list(mi()) from functools import lru_cache #@lru_cache(maxsize=None) def doubling(n,mod): a,res,c,c1 = 1,0,1,0 while n > 0: if n&1: res = (a*pow(10,c1,mod)+res)%mod c1 += c a = (a+a*pow(10,c,mod))%mod n >>= 1 c *= 2 return res def euler_phi(n): res = n for x in range(2,n+1): if x ** 2 > n: break if n%x==0: res = res//x * (x-1) while n%x==0: n //= x if n!=1: res = res//n * (n-1) return res def divisors(n): lower_divisors, upper_divisors = [], [] i = 1 while i * i <= n: if n % i == 0: lower_divisors.append(i) if i != n // i: upper_divisors.append(n // i) i += 1 return lower_divisors + upper_divisors[::-1] def calc(K:int)->int: if K == 1 or K == 2:return 1 if K % 2 == 0: K //= 2 if math.gcd(K,10) != 1:return -1 for i in divisors(euler_phi(K)): if pow(10,i,K) == 1: j = 1 while True: if doubling(i*j,K) == 0:return i*j j += 1 def main(): T = ii() ans = [] for i in range(T): K = ii() ans.append(calc(K)) print(*ans,sep="\n") if __name__=="__main__": main()
ConDefects/ConDefects/Code/abc222_g/Python/45118973
condefects-python_data_1878
def factor(x): d=[] e=[] for i in range(1,x+1): if i*i>x: break if i*i==x: d.append(i) break if x%i==0: d.append(i) e.append(x//i) return d+e[::-1] def make_prime(N): #O(NloglogN) Plist=[] L=[0]*(N+1) for i in range(2,N+1): if L[i]==0: Plist.append(i) for j in range(i,N+1,i): L[j]=1 return Plist Plist=make_prime(10000) from collections import * def prime(N): #O(sqrt(N)) P=defaultdict(int) for i in Plist: if i*i>N: break if N%i==0: j=0 while N%i==0: N//=i j+=1 P[i]=j i+=1 if N!=1: P[N]=1 return P T=int(input()) for _ in range(T): K=int(input()) if K%4==0 or K%5==0: print(-1) continue pk=prime(K) pk[3]+=2 l=9*K for p in pk: l=l*(p-1)//p for i in factor(l): if pow(10,i,9*K)==1: print(i) break def factor(x): d=[] e=[] for i in range(1,x+1): if i*i>x: break if i*i==x: d.append(i) break if x%i==0: d.append(i) e.append(x//i) return d+e[::-1] def make_prime(N): #O(NloglogN) Plist=[] L=[0]*(N+1) for i in range(2,N+1): if L[i]==0: Plist.append(i) for j in range(i,N+1,i): L[j]=1 return Plist Plist=make_prime(10000) from collections import * def prime(N): #O(sqrt(N)) P=defaultdict(int) for i in Plist: if i*i>N: break if N%i==0: j=0 while N%i==0: N//=i j+=1 P[i]=j i+=1 if N!=1: P[N]=1 return P T=int(input()) for _ in range(T): K=int(input()) if K%4==0 or K%5==0: print(-1) continue if K%2==0: K//=2 pk=prime(K) pk[3]+=2 l=9*K for p in pk: l=l*(p-1)//p for i in factor(l): if pow(10,i,9*K)==1: print(i) break
ConDefects/ConDefects/Code/abc222_g/Python/50712644
condefects-python_data_1879
from math import sqrt def gcd2(a, b): x, y, lx, ly = 0, 1, 1, 0 while b != 0: q = a // b a, b = b, a % b x, y, lx, ly = lx - q * x, ly - q * y, x, y return (lx, ly) def inv(n, p): return gcd2(n, p)[0] % p def solve(k): if k <= 2: return 1 if not (k & 1): k //= 2 if not (k % 2 and k % 5): return -1 sq = int(sqrt(k)) s = 1 tbl = {} for i in range(sq + 2): if s not in tbl: tbl[s] = i s = s * 10 % k psinv = inv(pow(10, sq, k), k) m = inv(10, k) for i in range(sq + 2): if m in tbl: return sq * i + tbl[m] + 1 m = m * psinv % k return -1 t = int(input()) for i in range(t): k = int(input()) print(solve(k)) from math import sqrt def gcd2(a, b): x, y, lx, ly = 0, 1, 1, 0 while b != 0: q = a // b a, b = b, a % b x, y, lx, ly = lx - q * x, ly - q * y, x, y return (lx, ly) def inv(n, p): return gcd2(n, p)[0] % p def solve(k): if k <= 2: return 1 if not (k & 1): k //= 2 if not (k % 2 and k % 5): return -1 if not (k % 3): k *= 9 sq = int(sqrt(k)) s = 1 tbl = {} for i in range(sq + 2): if s not in tbl: tbl[s] = i s = s * 10 % k psinv = inv(pow(10, sq, k), k) m = inv(10, k) for i in range(sq + 2): if m in tbl: return sq * i + tbl[m] + 1 m = m * psinv % k return -1 t = int(input()) for i in range(t): k = int(input()) print(solve(k))
ConDefects/ConDefects/Code/abc222_g/Python/45276473
condefects-python_data_1880
def resolve(): import sys input = sys.stdin.readline t = int(input()) for _ in range(t): k = int(input()) if k == 1: print(1) continue m = 9 * k if k % 2 else 9 * k // 2 try: ans = bsgs(10, pow(10, -1, m), m) print(ans + 2 if ans >= 0 else -1) except: print(-1) def bsgs(a, b, m, is_prime=False): # a^x = b (mod m) たる最小のx def inv(a, m): x, y = 1, 0 while m != 0: x, y = y, x - (a // m) * y a, m = m, a % m return x if m == 1: return 0 if a == 0: if b <= 1: return b ^ 1 return -1 # gcd(a,m) == 1 にする import math c = 0 while True: if m == 1: return c g = math.gcd(a, m) if g == 1: break if b % g: return -1 b //= g m //= g if is_prime: b *= pow(a // g, m - 2, m) else: b *= inv(a // g, m) b %= m c += 1 # baby step r = int(m**0.5) + 1 baby = {} x = a for i in range(r): baby[x] = i if x == b: return i + c x *= a x %= m x *= inv(a, m) x %= m # giant step x:a^r if is_prime: inv_ar = pow(x, m - 2, m) else: inv_ar = inv(x, m) for j in range(1, r + 1): b *= inv_ar b %= m if b in baby: return j * r + baby[b] + c return -1 if __name__ == "__main__": resolve() def resolve(): import sys input = sys.stdin.readline t = int(input()) for _ in range(t): k = int(input()) if k == 1 or k == 2: print(1) continue m = 9 * k if k % 2 else 9 * k // 2 try: ans = bsgs(10, pow(10, -1, m), m) print(ans + 2 if ans >= 0 else -1) except: print(-1) def bsgs(a, b, m, is_prime=False): # a^x = b (mod m) たる最小のx def inv(a, m): x, y = 1, 0 while m != 0: x, y = y, x - (a // m) * y a, m = m, a % m return x if m == 1: return 0 if a == 0: if b <= 1: return b ^ 1 return -1 # gcd(a,m) == 1 にする import math c = 0 while True: if m == 1: return c g = math.gcd(a, m) if g == 1: break if b % g: return -1 b //= g m //= g if is_prime: b *= pow(a // g, m - 2, m) else: b *= inv(a // g, m) b %= m c += 1 # baby step r = int(m**0.5) + 1 baby = {} x = a for i in range(r): baby[x] = i if x == b: return i + c x *= a x %= m x *= inv(a, m) x %= m # giant step x:a^r if is_prime: inv_ar = pow(x, m - 2, m) else: inv_ar = inv(x, m) for j in range(1, r + 1): b *= inv_ar b %= m if b in baby: return j * r + baby[b] + c return -1 if __name__ == "__main__": resolve()
ConDefects/ConDefects/Code/abc222_g/Python/49217735
condefects-python_data_1881
T = int(input()) for _ in range(T): N,K = map(int,input().split()) P = [0,0]+list(map(int,input().split())) A = [0]+list(map(int,input().split())) G = {i:[] for i in range(1,N+1)} for i in range(2,N+1): G[P[i]].append(i) lack = {i:[True,0,set()] for i in range(1,N+1)} B = set(range(K)) def dfs(x): if A[x]==K: lack[x][0] = False if len(G[x])==0: if A[x]>=0: lack[x][2] = B-set([A[x]]) else: lack[x][1] += 1 lack[x][2] = B else: lack[x][2] = B for y in G[x]: dfs(y) lack[x][0] = lack[x][0] and lack[y][0] lack[x][1] += lack[y][1] lack[x][2] = lack[x][2]&lack[y][2] if A[x]==-1: lack[x][1] += 1 dfs(1) flag = "Bob" for i in range(1,N+1): if not lack[i][0]:continue if (len(lack[i][2])==0 and lack[i][1]<=1) or (len(lack[i][2])==1 and lack[i][1]==1): flag = "Alice" break print(flag) T = int(input()) for _ in range(T): N,K = map(int,input().split()) P = [0,0]+list(map(int,input().split())) A = [0]+list(map(int,input().split())) G = {i:[] for i in range(1,N+1)} for i in range(2,N+1): G[P[i]].append(i) lack = {i:[True,0,set()] for i in range(1,N+1)} B = set(range(K)) def dfs(x): if A[x]==K: lack[x][0] = False if len(G[x])==0: if A[x]>=0: lack[x][2] = B-set([A[x]]) else: lack[x][1] += 1 lack[x][2] = B else: lack[x][2] = B for y in G[x]: dfs(y) lack[x][0] = lack[x][0] and lack[y][0] lack[x][1] += lack[y][1] lack[x][2] = lack[x][2]&lack[y][2] if A[x]==-1: lack[x][1] += 1 else: lack[x][2] = lack[x][2]-set([A[x]]) dfs(1) flag = "Bob" for i in range(1,N+1): if not lack[i][0]:continue if (len(lack[i][2])==0 and lack[i][1]<=1) or (len(lack[i][2])==1 and lack[i][1]==1): flag = "Alice" break print(flag)
ConDefects/ConDefects/Code/arc162_c/Python/45998728
condefects-python_data_1882
import math import heapq import itertools import bisect import random import time from collections import deque import sys from cmath import exp,pi from functools import cmp_to_key input=sys.stdin.readline def check(line): line.sort() p=0 cnt=0 for i in line: if p==i: p+=1 if p==k: return 0 if p<k: p+=1 for i in line: if p==i: p+=1 if p==k: return 1 return -1 t=int(input()) for _ in range(t): n,k=map(int,input().split()) graph=[[] for _ in range(n+1)] p=list(map(int,input().split())) for i in range(n-1): graph[p[i]].append(i+2) ans='Bob' arr=list(map(int,input().split())) for i in range(1,n+1): line=[] queue=deque([i]) cnt=0 while queue: a=queue.popleft() if arr[a-1]==-1: cnt+=1 line.append(arr[a-1]) for j in graph[a]: queue.append(j) x=check(line) if (x==0 and cnt==0) or (x==1 and cnt==1): ans='Alice' print(ans) import math import heapq import itertools import bisect import random import time from collections import deque import sys from cmath import exp,pi from functools import cmp_to_key input=sys.stdin.readline def check(line): line.sort() p=0 cnt=0 for i in line: if p==i: p+=1 if p==k: return 0 if p<k: p+=1 for i in line: if p==i: p+=1 if p==k: return 1 return -1 t=int(input()) for _ in range(t): n,k=map(int,input().split()) graph=[[] for _ in range(n+1)] p=list(map(int,input().split())) for i in range(n-1): graph[p[i]].append(i+2) ans='Bob' arr=list(map(int,input().split())) for i in range(1,n+1): line=[] queue=deque([i]) cnt=0 while queue: a=queue.popleft() if arr[a-1]==-1: cnt+=1 line.append(arr[a-1]) for j in graph[a]: queue.append(j) x=check(line) if (x==0 and cnt<=1) or (x==1 and cnt==1): ans='Alice' print(ans)
ConDefects/ConDefects/Code/arc162_c/Python/43399874
condefects-python_data_1883
from collections import deque T = int(input()) for _ in range(T): N,K = map(int, input().split()) P = [int(p) for p in input().split()] A = [int(a) for a in input().split()] E = [[] for _ in range(N)] for i in range(N-1): E[P[i]-1].append(i+1) ans = "Bob" for i in range(N): cnt = 0 memo = [0]*(K+1) q = deque([i]) if -1 < A[i] <= K: memo[A[i]] = 1 elif A[i] == -1: cnt += 1 while q: u = q.pop() for v in E[u]: if -1 < A[v] <= K: memo[A[v]] += 1 elif A[v] == -1: cnt += 1 q.append(v) if memo[K] == 1: continue if cnt < 2 and sum(memo) == K: ans = "Alice" elif cnt == 1 and sum(memo) == K-1: ans = "Alice" print(ans) from collections import deque T = int(input()) for _ in range(T): N,K = map(int, input().split()) P = [int(p) for p in input().split()] A = [int(a) for a in input().split()] E = [[] for _ in range(N)] for i in range(N-1): E[P[i]-1].append(i+1) ans = "Bob" for i in range(N): cnt = 0 memo = [0]*(K+1) q = deque([i]) if -1 < A[i] <= K: memo[A[i]] = 1 elif A[i] == -1: cnt += 1 while q: u = q.pop() for v in E[u]: if -1 < A[v] <= K: memo[A[v]] = 1 elif A[v] == -1: cnt += 1 q.append(v) if memo[K] == 1: continue if cnt < 2 and sum(memo) == K: ans = "Alice" elif cnt == 1 and sum(memo) == K-1: ans = "Alice" print(ans)
ConDefects/ConDefects/Code/arc162_c/Python/43410315
condefects-python_data_1884
from itertools import permutations as perm from itertools import combinations, product, combinations_with_replacement, groupby, accumulate from fractions import Fraction from collections import * from sys import stdin from bisect import * from heapq import * #import numpy as np # from math import * g = lambda : stdin.readline().strip() #[gl[0], dl[1], ...] gl = lambda : g().split() #gl -> int gil = lambda : [int(var) for var in gl()] #[n] = gil("A") -> n = A #[n,m] = gil("A B") -> n = A, M = B #n=gil("A B C D ...") -> n = [A, B, C, D, ...] gfl = lambda : [float(var) for var in gl()] gcl = lambda : list(g()) gbs = lambda : [int(var) for var in g()] #[n]= gbs("A") -> n = A arr = lambda l:" ".join(str(n) for n in l) #arr([1,2,3,...]) -> "1 2 3 ..." 配列で答えをprintする時に使う mod = int(1e9)+7 inf = 2**30 [T]=gil() def query(): [N,K]=gil() Tree = [[] for i in range(N+1)] P = gil() A = gil() for i,p in enumerate(P,1): p -= 1 Tree[p].append(i) Tree[i].append(p) P=[-1]+P for i in range(N): num = 0 s = set() q = [i] while q: now = q.pop() if A[now] == -1: num += 1 else: s.add(A[now]) for nex in Tree[now]: if nex == P[now]-1: continue q.append(nex) mex = -1 need = [0]*(K+1) for j in range(K+1): if j in s: need[j]=1 if need[K] or num > 1: continue #"Bob"かもしれない count = 0 for j in range(K): if need[j] == 0: count += 1 if count == 0: return "Alice" if count == 1 and num == 1: return "Alice" return "Bob" def main(): for _ in range(T): print(query()) if __name__ == '__main__': main() from itertools import permutations as perm from itertools import combinations, product, combinations_with_replacement, groupby, accumulate from fractions import Fraction from collections import * from sys import stdin from bisect import * from heapq import * #import numpy as np # from math import * g = lambda : stdin.readline().strip() #[gl[0], dl[1], ...] gl = lambda : g().split() #gl -> int gil = lambda : [int(var) for var in gl()] #[n] = gil("A") -> n = A #[n,m] = gil("A B") -> n = A, M = B #n=gil("A B C D ...") -> n = [A, B, C, D, ...] gfl = lambda : [float(var) for var in gl()] gcl = lambda : list(g()) gbs = lambda : [int(var) for var in g()] #[n]= gbs("A") -> n = A arr = lambda l:" ".join(str(n) for n in l) #arr([1,2,3,...]) -> "1 2 3 ..." 配列で答えをprintする時に使う mod = int(1e9)+7 inf = 2**30 [T]=gil() def query(): [N,K]=gil() Tree = [[] for i in range(N+1)] P = gil() A = gil() for i,p in enumerate(P,1): p -= 1 Tree[p].append(i) Tree[i].append(p) P=[-1]+P for i in range(N): num = 0 s = set() q = [i] while q: now = q.pop() if A[now] == -1: num += 1 else: s.add(A[now]) for nex in Tree[now]: if nex == P[now]-1: continue q.append(nex) mex = -1 need = [0]*(K+1) for j in range(K+1): if j in s: need[j]=1 if need[K] or num > 1: continue #"Bob"かもしれない count = 0 for j in range(K): if need[j] == 0: count += 1 if count == 0: return "Alice" if count == 1 and num == 1: return "Alice" return "Bob" def main(): for _ in range(T): print(query()) if __name__ == '__main__': main()
ConDefects/ConDefects/Code/arc162_c/Python/43234436
condefects-python_data_1885
import sys sys.setrecursionlimit(1000000000) t=int(input()) s=[[]for i in range(2002)] a=[] def mdfs(x,y,z): p=[0for i in range(y+2)] for i in s[x]: (f,d)=mdfs(i,y,z) if f: return (1,p) p[0]+=d[0] if p[0]>1: return(0,p) for j in range(1,y+2): p[j]|=d[j] if a[x]==-1: p[0]+=1 elif a[x]<=y: p[a[x]+1]=1 cnt=0 for j in range(1,y+1): if p[j]==0: cnt+=1 if cnt==0 and p[y+1]==0 and p[0]<=1: return (1,p) elif cnt==1 and p[0]==1 and p[y+1]==0: return (1,p) else: return(0,p) for i in range(t): n,k=map(int,input().split()) for j in range(n): s[j]=[] p=list(map(int,input().split())) for j in range(n-1): s[p[j]-1].append(j+1) a=list(map(int,input().split())) f,t=mdfs(0,k,n) if f: print("Alice") else: print("Bob") import sys sys.setrecursionlimit(1000000000) t=int(input()) s=[[]for i in range(2002)] a=[] def mdfs(x,y,z): p=[0for i in range(y+2)] for i in s[x]: (f,d)=mdfs(i,y,z) if f: return (1,p) p[0]+=d[0] for j in range(1,y+2): p[j]|=d[j] if a[x]==-1: p[0]+=1 elif a[x]<=y: p[a[x]+1]=1 cnt=0 for j in range(1,y+1): if p[j]==0: cnt+=1 if cnt==0 and p[y+1]==0 and p[0]<=1: return (1,p) elif cnt==1 and p[0]==1 and p[y+1]==0: return (1,p) else: return(0,p) for i in range(t): n,k=map(int,input().split()) for j in range(n): s[j]=[] p=list(map(int,input().split())) for j in range(n-1): s[p[j]-1].append(j+1) a=list(map(int,input().split())) f,t=mdfs(0,k,n) if f: print("Alice") else: print("Bob")
ConDefects/ConDefects/Code/arc162_c/Python/45291562
condefects-python_data_1886
t = int(input()) for _ in range(t): n, k = map(int, input().split()) p = [ -1 ] + list(map(lambda x: int(x) - 1, input().split())) a = list(map(int, input().split())) for i in range(n): if a[i] == -1: a[i] = n + 1 dp = [ [ 0 ] * (n + 2) for i in range(n) ] for i in range(n): dp[i][a[i]] += 1 answer = False for i in range(n - 1, -1, -1): for j in range(n + 2): dp[p[i]][j] += dp[i][j] if dp[i][n + 1] <= 1: cnt = 0 for j in range(k): if dp[i][j] == 0: cnt += 1 if dp[i][k] == 0 and cnt <= 1: answer = True print('Alice' if answer else 'Bob') t = int(input()) for _ in range(t): n, k = map(int, input().split()) p = [ -1 ] + list(map(lambda x: int(x) - 1, input().split())) a = list(map(int, input().split())) for i in range(n): if a[i] == -1: a[i] = n + 1 dp = [ [ 0 ] * (n + 2) for i in range(n) ] for i in range(n): dp[i][a[i]] += 1 answer = False for i in range(n - 1, -1, -1): for j in range(n + 2): dp[p[i]][j] += dp[i][j] if dp[i][n + 1] <= 1: cnt = 0 for j in range(k): if dp[i][j] == 0: cnt += 1 if dp[i][k] == 0 and cnt <= 1 and cnt <= dp[i][n + 1]: answer = True print('Alice' if answer else 'Bob')
ConDefects/ConDefects/Code/arc162_c/Python/45663637
condefects-python_data_1887
import sys sys.setrecursionlimit(10**7) input = sys.stdin.readline import pypyjit pypyjit.set_param('max_unroll_recursion=-1') def mp():return map(int,input().split()) def lmp():return list(map(int,input().split())) def lm1(LIST): return list(map(lambda x:x-1, LIST)) def mps(A):return [tuple(map(int, input().split())) for _ in range(A)] def stoi(LIST):return list(map(int,LIST)) def itos(LIST):return list(map(str,LIST)) def atoi(LIST): return [ord(i)-ord("a") for i in LIST] def Atoi(LIST): return [ord(i)-ord("A") for i in LIST] def LT(LIST,N): return LIST[bisect.bisect_left(LIST,N)-1] def LE(LIST,N): return LIST[bisect.bisect_right(LIST,N)-1] def GT(LIST,N): return LIST[bisect.bisect_right(LIST,N)] def GE(LIST,N): return LIST[bisect.bisect_left(LIST,N)] def bitA(X,A):return X & 1<<A == 1<<A import math import bisect import heapq import time from copy import copy as cc from copy import deepcopy as dc from itertools import accumulate, product from collections import Counter, defaultdict, deque def ceil(U,V):return (U+V-1)//V def modf1(N,MOD):return (N-1)%MOD+1 inf = (1<<63)-1 mod = 998244353 def check_mex(LIST): t = [] for i in range(n+1): if LIST[i] == 0:t.append(i) if len(t) == 2:break return t def merge(mae,now): A = have[mae] B = have[now] C = [0]*(n+1) for i in range(n+1): C[i] = A[i] + B[i] return C def dfs(now,mae): if a[now] != -1: have[now][a[now]] += 1 for i in edge[now]: if i == mae:continue dfs(i,now) if a[now] == -1: mitei[now] += 1 mitei[mae] += mitei[now] have[mae] = merge(mae,now) mex = check_mex(have[mae]) if mitei[now] == 0 and check_mex(have[now])[0] == k: flag[0] = 1 if mitei[now] == 1 and (mex[0] == k or mex[1] == k): flag[0] = 1 t = int(input()) for _ in range(t): n,k = mp() p = lm1(lmp()) a = lmp() flag = [0] edge = [[] for i in range(n)] for i in range(n-1): edge[i+1].append(p[i]) edge[p[i]].append(i+1) aset = set(a) mitei = [0]*(n+1) have = [[0]*(n+1) for _ in range(n+1)] dfs(0,-1) mitei.pop() if flag[0]:print("Alice") else: print("Bob") import sys sys.setrecursionlimit(10**7) input = sys.stdin.readline import pypyjit pypyjit.set_param('max_unroll_recursion=-1') def mp():return map(int,input().split()) def lmp():return list(map(int,input().split())) def lm1(LIST): return list(map(lambda x:x-1, LIST)) def mps(A):return [tuple(map(int, input().split())) for _ in range(A)] def stoi(LIST):return list(map(int,LIST)) def itos(LIST):return list(map(str,LIST)) def atoi(LIST): return [ord(i)-ord("a") for i in LIST] def Atoi(LIST): return [ord(i)-ord("A") for i in LIST] def LT(LIST,N): return LIST[bisect.bisect_left(LIST,N)-1] def LE(LIST,N): return LIST[bisect.bisect_right(LIST,N)-1] def GT(LIST,N): return LIST[bisect.bisect_right(LIST,N)] def GE(LIST,N): return LIST[bisect.bisect_left(LIST,N)] def bitA(X,A):return X & 1<<A == 1<<A import math import bisect import heapq import time from copy import copy as cc from copy import deepcopy as dc from itertools import accumulate, product from collections import Counter, defaultdict, deque def ceil(U,V):return (U+V-1)//V def modf1(N,MOD):return (N-1)%MOD+1 inf = (1<<63)-1 mod = 998244353 def check_mex(LIST): t = [] for i in range(n+1): if LIST[i] == 0:t.append(i) if len(t) == 2:break return t def merge(mae,now): A = have[mae] B = have[now] C = [0]*(n+1) for i in range(n+1): C[i] = A[i] + B[i] return C def dfs(now,mae): if a[now] != -1: have[now][a[now]] += 1 for i in edge[now]: if i == mae:continue dfs(i,now) if a[now] == -1: mitei[now] += 1 mitei[mae] += mitei[now] have[mae] = merge(mae,now) mex = check_mex(have[now]) if mitei[now] == 0 and check_mex(have[now])[0] == k: flag[0] = 1 if mitei[now] == 1 and (mex[0] == k or mex[1] == k): flag[0] = 1 t = int(input()) for _ in range(t): n,k = mp() p = lm1(lmp()) a = lmp() flag = [0] edge = [[] for i in range(n)] for i in range(n-1): edge[i+1].append(p[i]) edge[p[i]].append(i+1) aset = set(a) mitei = [0]*(n+1) have = [[0]*(n+1) for _ in range(n+1)] dfs(0,-1) mitei.pop() if flag[0]:print("Alice") else: print("Bob")
ConDefects/ConDefects/Code/arc162_c/Python/44163778
condefects-python_data_1888
class SegTree: def __init__(self, init_list, func=lambda x,y: x+y, ide_ele=0): self.n = len(init_list) self.length = 1<<(self.n-1).bit_length() self.node_list = [ide_ele]*(2*self.length) self.func = func self.ide_ele = ide_ele for i in range(self.n): self.node_list[i+self.length] = init_list[i] for i in range(self.length-1, 0, -1): self.node_list[i] = self.func(self.node_list[2*i], self.node_list[2*i+1]) def add(self, index, x): if not 0 <= index < self.n: raise Exception("segtree index out of range") index += self.length self.node_list[index] = self.func(self.node_list[index], x) while index > 1: self.node_list[index>>1] = self.func(self.node_list[index], self.node_list[index^1]) index >>= 1 def update(self, index, x): if not 0 <= index < self.n: raise Exception("segtree index out of range") index += self.length self.node_list[index] = x while index > 1: self.node_list[index>>1] = self.func(self.node_list[index], self.node_list[index^1]) index >>= 1 def query(self, l, r): if not (0 <= l <= self.n and 0 <= r <= self.n): raise Exception("segtree index out of range") ans = self.ide_ele l += self.length r += self.length while l < r: if l & 1: ans = self.func(ans, self.node_list[l]) l += 1 if r & 1: ans = self.func(ans, self.node_list[r-1]) l >>= 1 r >>= 1 return ans def __getitem__(self, index): if type(index) != int: raise Exception("segtree indices must be integers") if not 0 <= index < self.n: raise Exception("segtree index out of range") return self.node_list[index+self.length] def __setitem__(self, index, value): if type(index) != int: raise Exception("segtree indices must be integers") if not 0 <= index < self.n: raise Exception("segtree index out of range") self.update(index, value) def __str__(self): return str(self.node_list[self.length:self.length+self.n]) def solve(): n, k = map(int, input().split()) p_list = list(map(int, input().split())) a_list = list(map(int, input().split())) tree = [set() for _ in range(n)] for i in range(n-1): p = p_list[i] tree[i+1].add(p-1) tree[p-1].add(i+1) todo = [0] ecount_list = [-2]*n num_list = [set() for _ in range(n)] while todo: t = todo[-1] if ecount_list[t] == -2: for i in tree[t]: if ecount_list[i] == -2: todo.append(i) ecount_list[t] = -1 elif ecount_list[t] == -1: if a_list[t] == -1: count = 1 else: count = 0 if a_list[t] <= k: num_list[t].add(a_list[t]) for i in tree[t]: if ecount_list[i] > 0: count += ecount_list[i] num_list[t] |= num_list[i] ecount_list[t] = count todo.pop() count = 0 #print(ecount_list) #print(num_list) for i in range(n): if ecount_list[i] == 0 and len(num_list[i]) == k and k not in num_list[i]: print("Alice") break elif ecount_list[i] == 1 and len(num_list[i]) == k-1 and k not in num_list[i]: print("Alice") break else: print("Bob") t = int(input()) for _ in range(t): solve() class SegTree: def __init__(self, init_list, func=lambda x,y: x+y, ide_ele=0): self.n = len(init_list) self.length = 1<<(self.n-1).bit_length() self.node_list = [ide_ele]*(2*self.length) self.func = func self.ide_ele = ide_ele for i in range(self.n): self.node_list[i+self.length] = init_list[i] for i in range(self.length-1, 0, -1): self.node_list[i] = self.func(self.node_list[2*i], self.node_list[2*i+1]) def add(self, index, x): if not 0 <= index < self.n: raise Exception("segtree index out of range") index += self.length self.node_list[index] = self.func(self.node_list[index], x) while index > 1: self.node_list[index>>1] = self.func(self.node_list[index], self.node_list[index^1]) index >>= 1 def update(self, index, x): if not 0 <= index < self.n: raise Exception("segtree index out of range") index += self.length self.node_list[index] = x while index > 1: self.node_list[index>>1] = self.func(self.node_list[index], self.node_list[index^1]) index >>= 1 def query(self, l, r): if not (0 <= l <= self.n and 0 <= r <= self.n): raise Exception("segtree index out of range") ans = self.ide_ele l += self.length r += self.length while l < r: if l & 1: ans = self.func(ans, self.node_list[l]) l += 1 if r & 1: ans = self.func(ans, self.node_list[r-1]) l >>= 1 r >>= 1 return ans def __getitem__(self, index): if type(index) != int: raise Exception("segtree indices must be integers") if not 0 <= index < self.n: raise Exception("segtree index out of range") return self.node_list[index+self.length] def __setitem__(self, index, value): if type(index) != int: raise Exception("segtree indices must be integers") if not 0 <= index < self.n: raise Exception("segtree index out of range") self.update(index, value) def __str__(self): return str(self.node_list[self.length:self.length+self.n]) def solve(): n, k = map(int, input().split()) p_list = list(map(int, input().split())) a_list = list(map(int, input().split())) tree = [set() for _ in range(n)] for i in range(n-1): p = p_list[i] tree[i+1].add(p-1) tree[p-1].add(i+1) todo = [0] ecount_list = [-2]*n num_list = [set() for _ in range(n)] while todo: t = todo[-1] if ecount_list[t] == -2: for i in tree[t]: if ecount_list[i] == -2: todo.append(i) ecount_list[t] = -1 elif ecount_list[t] == -1: if a_list[t] == -1: count = 1 else: count = 0 if a_list[t] <= k: num_list[t].add(a_list[t]) for i in tree[t]: if ecount_list[i] > 0: count += ecount_list[i] num_list[t] |= num_list[i] ecount_list[t] = count todo.pop() count = 0 #print(ecount_list) #print(num_list) for i in range(n): if ecount_list[i] == 0 and len(num_list[i]) == k and k not in num_list[i]: print("Alice") break elif ecount_list[i] == 1 and k-1 <= len(num_list[i]) <= k and k not in num_list[i]: print("Alice") break else: print("Bob") t = int(input()) for _ in range(t): solve()
ConDefects/ConDefects/Code/arc162_c/Python/43723091
condefects-python_data_1889
import sys sys.setrecursionlimit(1000000) t = int(input()) def dfs(x): for y in edges[x]: dfs(y) sizes[x] += sizes[y] nums[x] += nums[y] sizes[x] += 1 nums[x].append(A[x]) for _ in range(t): n, k = map(int, input().split()) P = [-1]+list(map(lambda x: int(x)-1, input().split())) edges = [[] for _ in range(n)] for i in range(1, n): edges[P[i]].append(i) A = list(map(int, input().split())) sizes = [0]*n nums = [[] for _ in range(n)] dfs(0) for i in range(n): x = nums[i].count(-1) s = set(nums[i]) if k in s: continue y = 0 mex = k for j in range(k): if j not in s: y += 1 if mex == k: mex = j if (x==1 and y==1) or (mex==k and x==0): print("Alice") break else: print("Bob") import sys sys.setrecursionlimit(1000000) t = int(input()) def dfs(x): for y in edges[x]: dfs(y) sizes[x] += sizes[y] nums[x] += nums[y] sizes[x] += 1 nums[x].append(A[x]) for _ in range(t): n, k = map(int, input().split()) P = [-1]+list(map(lambda x: int(x)-1, input().split())) edges = [[] for _ in range(n)] for i in range(1, n): edges[P[i]].append(i) A = list(map(int, input().split())) sizes = [0]*n nums = [[] for _ in range(n)] dfs(0) for i in range(n): x = nums[i].count(-1) s = set(nums[i]) if k in s: continue y = 0 mex = k for j in range(k): if j not in s: y += 1 if mex == k: mex = j if (x==1 and y==1) or (mex==k and (x==0 or x==1)): print("Alice") break else: print("Bob")
ConDefects/ConDefects/Code/arc162_c/Python/43008956
condefects-python_data_1890
import sys sys.setrecursionlimit((1<<19)-1) def dfs(pos): global ans cnt=0 less=set() for i in tree[pos]: tocnt,toless=dfs(i) cnt+=tocnt less=less|toless if A[pos]==-1: cnt+=1 elif A[pos]<=K: less.add(pos) if K not in less and len(less)>=K-cnt and cnt<=1: ans="Alice" return cnt,less T=int(input()) for _ in range(T): N,K=map(int,input().split()) P=list(map(int,input().split())) A=list(map(int,input().split())) ans="Bob" tree=[set() for i in range(N)] for i in range(N-1): tree[P[i]-1].add(i+1) dfs(0) print(ans) import sys sys.setrecursionlimit((1<<19)-1) def dfs(pos): global ans cnt=0 less=set() for i in tree[pos]: tocnt,toless=dfs(i) cnt+=tocnt less=less|toless if A[pos]==-1: cnt+=1 elif A[pos]<=K: less.add(A[pos]) if K not in less and len(less)>=K-cnt and cnt<=1: ans="Alice" return cnt,less T=int(input()) for _ in range(T): N,K=map(int,input().split()) P=list(map(int,input().split())) A=list(map(int,input().split())) ans="Bob" tree=[set() for i in range(N)] for i in range(N-1): tree[P[i]-1].add(i+1) dfs(0) print(ans)
ConDefects/ConDefects/Code/arc162_c/Python/45802611
condefects-python_data_1891
## https://atcoder.jp/contests/abc294/tasks/abc294_g from collections import deque class BinaryIndexTree: """ フェニック木(BinaryIndexTree)の基本的な機能を実装したクラス """ def __init__(self, size): self.size = size self.array = [0] * (size + 1) def add(self, x, a): index = x while index <= self.size: self.array[index] += a index += index & (-index) def sum(self, x): index = x ans = 0 while index > 0: ans += self.array[index] index -= index & (-index) return ans def least_upper_bound(self, value): if self.sum(self.size) < value: return -1 elif value <= 0: return 0 m = 1 while m < self.size: m *= 2 k = 0 k_sum = 0 while m > 0: k0 = k + m if k0 < self.size: if k_sum + self.array[k0] < value: k_sum += self.array[k0] k += m m //= 2 if k < self.size: return k + 1 else: return -1 class SegmentTree: """ 非再帰版セグメント木。 更新は「加法」、取得は「最大値」のもの限定。 """ def __init__(self, init_array): n = 1 while n < len(init_array): n *= 2 self.size = n self.array = [(float("inf"), float("inf")) for _ in range(2 * self.size)] for i, a in enumerate(init_array): self.array[self.size + i] = (a, i) end_index = self.size start_index = end_index // 2 while start_index >= 1: for i in range(start_index, end_index): self.array[i] = min(self.array[2 * i], self.array[2 * i + 1]) end_index = start_index start_index = end_index // 2 def add(self, x, a): index = self.size + x self.array[index] += a while index > 1: index //= 2 self.array[index] = min(self.array[2 * index], self.array[2 * index + 1]) def get_min(self, l, r): L = self.size + l; R = self.size + r # 2. 区間[l, r)の最大値を求める s = (float("inf"), float("inf")) while L < R: if R & 1: R -= 1 s = min(s, self.array[R]) if L & 1: s = min(s, self.array[L]) L += 1 L >>= 1; R >>= 1 return s def main(): N = int(input()) next_nodes = [[] for _ in range(N)] for i in range(N - 1): u, v, w = map(int, input().split()) u -= 1 v -= 1 next_nodes[u].append((v, w, i)) next_nodes[v].append((u, w, i)) Q = int(input()) queries = [] for _ in range(Q): values = tuple(map(int, input().split())) queries.append(values) # オイラーツアー queue = deque() queue.append((0, 0)) index_array = [-1] * N index_array[0] = 0 parents = [-2] * N parents[0] = -1 euler_tour_node = [0] euler_tour_edge = [0] edge_index_to_eluer_tour_index = {} while len(queue) > 0: v, index = queue.pop() if index > 0: euler_tour_node.append(index_array[v]) next_node, w, edge_index = next_nodes[v][index - 1] euler_tour_edge.append(-w) edge_index_to_eluer_tour_index[edge_index].append(len(euler_tour_edge) - 1) while index < len(next_nodes[v]): next_node, w, edge_index = next_nodes[v][index] if next_node == parents[v]: index += 1 continue parents[next_node] = v index_array[next_node] = len(euler_tour_node) euler_tour_node.append(len(euler_tour_node)) euler_tour_edge.append(w) edge_index_to_eluer_tour_index[edge_index] = [] edge_index_to_eluer_tour_index[edge_index].append(len(euler_tour_edge) - 1) queue.append((v, index + 1)) queue.append((next_node, 0)) break # euler_tour_edgeの累積和を取る bit = BinaryIndexTree(len(euler_tour_edge)) for i in range(len(euler_tour_edge)): bit.add(i + 1, euler_tour_edge[i]) # セグメント木 seg_tree = SegmentTree(euler_tour_node) # クエリの対応 for query in queries: if query[0] == 1: _, i, w = query i -= 1 index1, index2 = edge_index_to_eluer_tour_index[i] old_w = euler_tour_edge[index1] bit.add(index1 + 1, w - old_w) euler_tour_edge[index1] = w old_w = euler_tour_edge[index2] bit.add(index2 + 1, -w - old_w) euler_tour_edge[index2] = w else: _, u, v = query u -= 1 v -= 1 ind_u = index_array[u] ind_v = index_array[v] if ind_u > ind_v: u, v = v, u ind_u, ind_v = ind_v, ind_u _, j = seg_tree.get_min(ind_u, ind_v + 1) ans1 = bit.sum(ind_u + 1) - bit.sum(j + 1) ans2 = bit.sum(ind_v + 1) - bit.sum(j + 1) print(ans1 + ans2) if __name__ == "__main__": main() ## https://atcoder.jp/contests/abc294/tasks/abc294_g from collections import deque class BinaryIndexTree: """ フェニック木(BinaryIndexTree)の基本的な機能を実装したクラス """ def __init__(self, size): self.size = size self.array = [0] * (size + 1) def add(self, x, a): index = x while index <= self.size: self.array[index] += a index += index & (-index) def sum(self, x): index = x ans = 0 while index > 0: ans += self.array[index] index -= index & (-index) return ans def least_upper_bound(self, value): if self.sum(self.size) < value: return -1 elif value <= 0: return 0 m = 1 while m < self.size: m *= 2 k = 0 k_sum = 0 while m > 0: k0 = k + m if k0 < self.size: if k_sum + self.array[k0] < value: k_sum += self.array[k0] k += m m //= 2 if k < self.size: return k + 1 else: return -1 class SegmentTree: """ 非再帰版セグメント木。 更新は「加法」、取得は「最大値」のもの限定。 """ def __init__(self, init_array): n = 1 while n < len(init_array): n *= 2 self.size = n self.array = [(float("inf"), float("inf")) for _ in range(2 * self.size)] for i, a in enumerate(init_array): self.array[self.size + i] = (a, i) end_index = self.size start_index = end_index // 2 while start_index >= 1: for i in range(start_index, end_index): self.array[i] = min(self.array[2 * i], self.array[2 * i + 1]) end_index = start_index start_index = end_index // 2 def add(self, x, a): index = self.size + x self.array[index] += a while index > 1: index //= 2 self.array[index] = min(self.array[2 * index], self.array[2 * index + 1]) def get_min(self, l, r): L = self.size + l; R = self.size + r # 2. 区間[l, r)の最大値を求める s = (float("inf"), float("inf")) while L < R: if R & 1: R -= 1 s = min(s, self.array[R]) if L & 1: s = min(s, self.array[L]) L += 1 L >>= 1; R >>= 1 return s def main(): N = int(input()) next_nodes = [[] for _ in range(N)] for i in range(N - 1): u, v, w = map(int, input().split()) u -= 1 v -= 1 next_nodes[u].append((v, w, i)) next_nodes[v].append((u, w, i)) Q = int(input()) queries = [] for _ in range(Q): values = tuple(map(int, input().split())) queries.append(values) # オイラーツアー queue = deque() queue.append((0, 0)) index_array = [-1] * N index_array[0] = 0 parents = [-2] * N parents[0] = -1 euler_tour_node = [0] euler_tour_edge = [0] edge_index_to_eluer_tour_index = {} while len(queue) > 0: v, index = queue.pop() if index > 0: euler_tour_node.append(index_array[v]) next_node, w, edge_index = next_nodes[v][index - 1] euler_tour_edge.append(-w) edge_index_to_eluer_tour_index[edge_index].append(len(euler_tour_edge) - 1) while index < len(next_nodes[v]): next_node, w, edge_index = next_nodes[v][index] if next_node == parents[v]: index += 1 continue parents[next_node] = v index_array[next_node] = len(euler_tour_node) euler_tour_node.append(len(euler_tour_node)) euler_tour_edge.append(w) edge_index_to_eluer_tour_index[edge_index] = [] edge_index_to_eluer_tour_index[edge_index].append(len(euler_tour_edge) - 1) queue.append((v, index + 1)) queue.append((next_node, 0)) break # euler_tour_edgeの累積和を取る bit = BinaryIndexTree(len(euler_tour_edge)) for i in range(len(euler_tour_edge)): bit.add(i + 1, euler_tour_edge[i]) # セグメント木 seg_tree = SegmentTree(euler_tour_node) # クエリの対応 for query in queries: if query[0] == 1: _, i, w = query i -= 1 index1, index2 = edge_index_to_eluer_tour_index[i] old_w = euler_tour_edge[index1] bit.add(index1 + 1, w - old_w) euler_tour_edge[index1] = w old_w = euler_tour_edge[index2] bit.add(index2 + 1, -w - old_w) euler_tour_edge[index2] = -w else: _, u, v = query u -= 1 v -= 1 ind_u = index_array[u] ind_v = index_array[v] if ind_u > ind_v: u, v = v, u ind_u, ind_v = ind_v, ind_u _, j = seg_tree.get_min(ind_u, ind_v + 1) ans1 = bit.sum(ind_u + 1) - bit.sum(j + 1) ans2 = bit.sum(ind_v + 1) - bit.sum(j + 1) print(ans1 + ans2) if __name__ == "__main__": main()
ConDefects/ConDefects/Code/abc294_g/Python/53664226
condefects-python_data_1892
import sys; sys.setrecursionlimit(10**6); import pypyjit; pypyjit.set_param('max_unroll_recursion=-1') class DubTree: def __init__(self,N): self.N, self.K = N, 1 while (1<<self.K)<N : self.K += 1 self.node,self.wei = [None]*self.N, [None]*self.N self.edge = [[] for n in range(self.N)] self.parent = [[None]*N for k in range(self.K)] self.euler = [] self.eunum = [[] for n in range(N)] self.tree = [] def append_edge(self,a,b,w=1): self.edge[a].append((b,w)); self.edge[b].append((a,w)) def dfs(self,s): stack, self.node[s],self.wei[s] = [s], 0, 0 self.parent[0][s] = None self._dfs(s) self.tree = [0]*(len(self.euler)+1) def _dfs(self,pos): self.euler.append(pos) self.eunum[pos].append(len(self.euler)) for p,w in self.edge[pos]: if self.node[p] is None: self.node[p], self.wei[p] = self.node[pos]+1, self.wei[pos]+w self.parent[0][p] = pos self._dfs(p) self.euler.append(pos) self.eunum[pos].append(len(self.euler)) def doubling(self): for k in range(self.K-1): for n in range(self.N): if self.parent[k][n] is None : self.parent[k+1][n] = None else : self.parent[k+1][n] = self.parent[k][self.parent[k][n]] def lca(self,a,b): if self.node[a]<self.node[b] : a,b=b,a for k in range(self.K-1,-1,-1): if self.node[a]-self.node[b]>=(1<<k) : a = self.parent[k][a] if a==b : return a for k in range(self.K-1,-1,-1): if self.parent[k][a]!=self.parent[k][b] : a,b = self.parent[k][a],self.parent[k][b] return self.parent[0][a] def dist(self,a,b): lca = self.lca(a,b) alen = self.wei[a] + self._sum(self.eunum[a][0]) - self.wei[lca] - self._sum(self.eunum[lca][0]) blen = self.wei[b] + self._sum(self.eunum[b][0]) - self.wei[lca] - self._sum(self.eunum[lca][0]) return alen + blen def add(self,a,i): n = self.eunum[a][0] while n<=len(self.tree)-1: self.tree[n]+=i n += n&-n n = self.eunum[a][-1] while n<=len(self.tree)-1: self.tree[n]-=i n += n&-n def _sum(self,n): ans = 0 while n>0: ans += self.tree[n] n -= n&-n return ans N = int(input()) dt = DubTree(N) edge = [None for n in range(N-1)] wei = [0 for n in range(N-1)] for n in range(N-1): a,b,w = map(int,input().split()) dt.append_edge(a-1,b-1,w) edge[n] = (a-1,b-1) wei[n] = w dt.dfs(0) dt.doubling() for _ in range(int(input())): q,x,y = map(int,input().split()) if q==1: a,b = edge[x-1] if dt.parent[0][b]==a : a,b=b,a dt.add(a,y-wei[x-1]) wei[x-1]=y else: print(dt.dist(x-1,y-1)) import sys; sys.setrecursionlimit(10**6); import pypyjit; pypyjit.set_param('max_unroll_recursion=-1') class DubTree: def __init__(self,N): self.N, self.K = N, 1 while (1<<self.K)<N : self.K += 1 self.node,self.wei = [None]*self.N, [None]*self.N self.edge = [[] for n in range(self.N)] self.parent = [[None]*N for k in range(self.K)] self.euler = [] self.eunum = [[] for n in range(N)] self.tree = [] def append_edge(self,a,b,w=1): self.edge[a].append((b,w)); self.edge[b].append((a,w)) def dfs(self,s): stack, self.node[s],self.wei[s] = [s], 0, 0 self.parent[0][s] = None self._dfs(s) self.tree = [0]*(len(self.euler)+1) def _dfs(self,pos): self.euler.append(pos) self.eunum[pos].append(len(self.euler)) for p,w in self.edge[pos]: if self.node[p] is None: self.node[p], self.wei[p] = self.node[pos]+1, self.wei[pos]+w self.parent[0][p] = pos self._dfs(p) self.euler.append(pos) self.eunum[pos].append(len(self.euler)) def doubling(self): for k in range(self.K-1): for n in range(self.N): if self.parent[k][n] is None : self.parent[k+1][n] = None else : self.parent[k+1][n] = self.parent[k][self.parent[k][n]] def lca(self,a,b): if self.node[a]<self.node[b] : a,b=b,a for k in range(self.K-1,-1,-1): if self.node[a]-self.node[b]>=(1<<k) : a = self.parent[k][a] if a==b : return a for k in range(self.K-1,-1,-1): if self.parent[k][a]!=self.parent[k][b] : a,b = self.parent[k][a],self.parent[k][b] return self.parent[0][a] def dist(self,a,b): lca = self.lca(a,b) alen = self.wei[a] + self._sum(self.eunum[a][0]) - self.wei[lca] - self._sum(self.eunum[lca][0]) blen = self.wei[b] + self._sum(self.eunum[b][0]) - self.wei[lca] - self._sum(self.eunum[lca][0]) return alen + blen def add(self,a,i): n = self.eunum[a][0] while n<=len(self.tree)-1: self.tree[n]+=i n += n&-n n = self.eunum[a][-1]+1 while n<=len(self.tree)-1: self.tree[n]-=i n += n&-n def _sum(self,n): ans = 0 while n>0: ans += self.tree[n] n -= n&-n return ans N = int(input()) dt = DubTree(N) edge = [None for n in range(N-1)] wei = [0 for n in range(N-1)] for n in range(N-1): a,b,w = map(int,input().split()) dt.append_edge(a-1,b-1,w) edge[n] = (a-1,b-1) wei[n] = w dt.dfs(0) dt.doubling() for _ in range(int(input())): q,x,y = map(int,input().split()) if q==1: a,b = edge[x-1] if dt.parent[0][b]==a : a,b=b,a dt.add(a,y-wei[x-1]) wei[x-1]=y else: print(dt.dist(x-1,y-1))
ConDefects/ConDefects/Code/abc294_g/Python/50893680
condefects-python_data_1893
from heapq import heappop, heappush class Set: def __init__(self): self.q = [] self.d = [] self.sm = 0 def add(self, x): heappush(self.q, x) self.sm += x def delete(self, x): heappush(self.d, x) self.sm -= x def get_min(self): while self.d and self.q[0] == self.d[0]: heappop(self.q) heappop(self.d) return self.q[0] def pop_min(self): while self.d and self.q[0] == self.d[0]: heappop(self.q) heappop(self.d) res = heappop(self.q) self.sm -= res return res class BottomK: def __init__(self, n, a, k): assert k <= n self.a = a self.n = n self.k = k self.low = Set() self.high = Set() a.sort() for i in range(k): self.low.add(a[i]) for i in range(k, n): self.high.add(a[i]) # 0-indexed def set(self, i, x): ai = self.a[i] self.a[i] = x if self.k == self.n: self.low.delete(-ai) self.low.add(-x) return if not self.k: self.high.delete(ai) self.high.add(x) return if ai < self.high.get_min(): self.low.delete(-ai) hl = self.high.pop_min() if x > hl: self.low.add(-hl) self.high.add(x) else: self.high.add(hl) self.low.add(-x) else: self.high.delete(ai) lh = self.low.pop_min() lh *= -1 if x > lh: self.high.add(x) self.low.add(-lh) else: self.high.add(lh) self.low.add(-x) def get(self): return -self.low.sm def inc_k(self): assert self.k < self.n self.k += 1 hl = self.high.pop_min() self.low.add(-hl) def dec_k(self): assert self.k self.k -= 1 lh = self.low.pop_min() self.high.add(-lh) n, m, h = map(int, input().split()) s = BottomK(m, [0] * m, m) ans = [] for i in range(n): a, b = map(int, input().split()) b -= 1 s.set(b, a + s.a[b]) while s.get() > h: ans.append(i) s.dec_k() ans += [n] * (m + 1 - len(ans)) print(*ans) from heapq import heappop, heappush class Set: def __init__(self): self.q = [] self.d = [] self.sm = 0 def add(self, x): heappush(self.q, x) self.sm += x def delete(self, x): heappush(self.d, x) self.sm -= x def get_min(self): while self.d and self.q[0] == self.d[0]: heappop(self.q) heappop(self.d) return self.q[0] def pop_min(self): while self.d and self.q[0] == self.d[0]: heappop(self.q) heappop(self.d) res = heappop(self.q) self.sm -= res return res class BottomK: def __init__(self, n, a, k): assert k <= n self.a = a self.n = n self.k = k self.low = Set() self.high = Set() a.sort() for i in range(k): self.low.add(a[i]) for i in range(k, n): self.high.add(a[i]) # 0-indexed def set(self, i, x): ai = self.a[i] self.a[i] = x if self.k == self.n: self.low.delete(-ai) self.low.add(-x) return if not self.k: self.high.delete(ai) self.high.add(x) return if ai < self.high.get_min(): self.low.delete(-ai) hl = self.high.pop_min() if x > hl: self.low.add(-hl) self.high.add(x) else: self.high.add(hl) self.low.add(-x) else: self.high.delete(ai) lh = self.low.pop_min() lh *= -1 if x > lh: self.high.add(x) self.low.add(-lh) else: self.high.add(lh) self.low.add(-x) def get(self): return -self.low.sm def inc_k(self): assert self.k < self.n self.k += 1 hl = self.high.pop_min() self.low.add(-hl) def dec_k(self): assert self.k self.k -= 1 lh = self.low.pop_min() self.high.add(-lh) n, m, h = map(int, input().split()) s = BottomK(m, [0] * m, m) ans = [] for i in range(n): a, b = map(int, input().split()) b -= 1 s.set(b, a + s.a[b]) while s.get() >= h: ans.append(i) s.dec_k() ans += [n] * (m + 1 - len(ans)) print(*ans)
ConDefects/ConDefects/Code/abc314_g/Python/45264890
condefects-python_data_1894
from bisect import * import sys input=sys.stdin.readline #####segfunc##### def segfunc(x, y): return x+y #区間クエリでのfuncを設定 ################# #####ide_ele##### ide_ele =0 #クエリの単位元を設定 ################# class SegTree: """ init(init_val, ide_ele): 配列init_valで初期化 O(N) update(k, x): k番目の値をxに更新 O(logN) query(l, r): 区間[l, r)をsegfuncしたものを返す O(logN) """ def __init__(self, init_val, segfunc, ide_ele): """ init_val: 配列の初期値 segfunc: 区間にしたい操作 ide_ele: 単位元 n: 要素数 num: n以上の最小の2のべき乗 tree: セグメント木(1-index) """ n = len(init_val) self.segfunc = segfunc self.ide_ele = ide_ele self.num = 1 << (n - 1).bit_length() self.tree = [ide_ele] * 2 * self.num # 配列の値を葉にセット for i in range(n): self.tree[self.num + i] = init_val[i] # 構築していく for i in range(self.num - 1, 0, -1): self.tree[i] = self.segfunc(self.tree[2 * i], self.tree[2 * i + 1]) def update(self, k, x): """ k番目の値をxに更新 k: index(0-index) x: update value """ k += self.num self.tree[k] = x while k > 1: self.tree[k >> 1] = self.segfunc(self.tree[k], self.tree[k ^ 1]) k >>= 1 def query(self, l, r): """ [l, r)のsegfuncしたものを得る l: index(0-index) r: index(0-index) """ res = self.ide_ele l += self.num r += self.num while l < r: if l & 1: res = self.segfunc(res, self.tree[l]) l += 1 if r & 1: res = self.segfunc(res, self.tree[r - 1]) l >>= 1 r >>= 1 return res def main(): def mgr_bisect(ng,ok): #ここの部分(mgr_bisect)は改変しない while (abs(ok-ng)>1): mid=(ok+ng)//2 if is_ok(mid): ok=mid else: ng=mid return ok N,M,H=map(int,input().split()) attacks=[] compnum=set() compnum.add(0) damages=[0]*M attackinsts=[] for i in range(N): a,b=map(int,input().split()) b-=1 damages[b]+=a compnum.add(damages[b]) attackinsts.append((a,b)) compnum=list(compnum) compnum.sort() #print(compnum) num_to_ind={} ind_to_num={} for i,v in enumerate(compnum): num_to_ind[v]=i ind_to_num[i]=v n=len(compnum) cnts=[0]*n cnts[0]=M sums=[0]*n cursuml=[0]*M cntseg=SegTree(cnts,segfunc,ide_ele) sumseg=SegTree(sums,segfunc,ide_ele) allsum=0 needamulets=[0]*N for i in range(N): a,b=attackinsts[i] cursum=cursuml[b] allsum-=cursum nxtsum=cursum+a allsum+=nxtsum cursuml[b]+=a curind=num_to_ind[cursum] nxtind=num_to_ind[nxtsum] #print(curind,nxtind) curcnt=cntseg.query(curind,curind+1) nxtcnt=cntseg.query(nxtind,nxtind+1) #print(curcnt,nxtcnt) cntseg.update(curind,curcnt-1) cntseg.update(nxtind,nxtcnt+1) cursums=sumseg.query(curind,curind+1) nxtsums=sumseg.query(nxtind,nxtind+1) sumseg.update(curind,cursums-cursum) sumseg.update(nxtind,nxtsums+nxtsum) if allsum<H:continue if allsum==H: needamulets[i]=1 continue #生き残るため、除く必要がある最小ダメージ dif=allsum-H def is_ok(arg): return sumseg.query(arg,n)>dif ind=mgr_bisect(n,-1) thre_num=ind_to_num[ind] cusum=sumseg.query(ind,n) #print([cntseg.query(i,i+1) for i in range(n)]) #print([sumseg.query(i,i+1) for i in range(n)]) needamulets[i]=cntseg.query(ind,n)-((cusum-dif)//thre_num) #print(needamulets) ans=[-1]*(M+1) for i in range(M+1): ans[i]=bisect(needamulets,i) print(*ans) main() from bisect import * import sys input=sys.stdin.readline #####segfunc##### def segfunc(x, y): return x+y #区間クエリでのfuncを設定 ################# #####ide_ele##### ide_ele =0 #クエリの単位元を設定 ################# class SegTree: """ init(init_val, ide_ele): 配列init_valで初期化 O(N) update(k, x): k番目の値をxに更新 O(logN) query(l, r): 区間[l, r)をsegfuncしたものを返す O(logN) """ def __init__(self, init_val, segfunc, ide_ele): """ init_val: 配列の初期値 segfunc: 区間にしたい操作 ide_ele: 単位元 n: 要素数 num: n以上の最小の2のべき乗 tree: セグメント木(1-index) """ n = len(init_val) self.segfunc = segfunc self.ide_ele = ide_ele self.num = 1 << (n - 1).bit_length() self.tree = [ide_ele] * 2 * self.num # 配列の値を葉にセット for i in range(n): self.tree[self.num + i] = init_val[i] # 構築していく for i in range(self.num - 1, 0, -1): self.tree[i] = self.segfunc(self.tree[2 * i], self.tree[2 * i + 1]) def update(self, k, x): """ k番目の値をxに更新 k: index(0-index) x: update value """ k += self.num self.tree[k] = x while k > 1: self.tree[k >> 1] = self.segfunc(self.tree[k], self.tree[k ^ 1]) k >>= 1 def query(self, l, r): """ [l, r)のsegfuncしたものを得る l: index(0-index) r: index(0-index) """ res = self.ide_ele l += self.num r += self.num while l < r: if l & 1: res = self.segfunc(res, self.tree[l]) l += 1 if r & 1: res = self.segfunc(res, self.tree[r - 1]) l >>= 1 r >>= 1 return res def main(): def mgr_bisect(ng,ok): #ここの部分(mgr_bisect)は改変しない while (abs(ok-ng)>1): mid=(ok+ng)//2 if is_ok(mid): ok=mid else: ng=mid return ok N,M,H=map(int,input().split()) attacks=[] compnum=set() compnum.add(0) damages=[0]*M attackinsts=[] for i in range(N): a,b=map(int,input().split()) b-=1 damages[b]+=a compnum.add(damages[b]) attackinsts.append((a,b)) compnum=list(compnum) compnum.sort() #print(compnum) num_to_ind={} ind_to_num={} for i,v in enumerate(compnum): num_to_ind[v]=i ind_to_num[i]=v n=len(compnum) cnts=[0]*n cnts[0]=M sums=[0]*n cursuml=[0]*M cntseg=SegTree(cnts,segfunc,ide_ele) sumseg=SegTree(sums,segfunc,ide_ele) allsum=0 needamulets=[0]*N for i in range(N): a,b=attackinsts[i] cursum=cursuml[b] allsum-=cursum nxtsum=cursum+a allsum+=nxtsum cursuml[b]+=a curind=num_to_ind[cursum] nxtind=num_to_ind[nxtsum] #print(curind,nxtind) curcnt=cntseg.query(curind,curind+1) nxtcnt=cntseg.query(nxtind,nxtind+1) #print(curcnt,nxtcnt) cntseg.update(curind,curcnt-1) cntseg.update(nxtind,nxtcnt+1) cursums=sumseg.query(curind,curind+1) nxtsums=sumseg.query(nxtind,nxtind+1) sumseg.update(curind,cursums-cursum) sumseg.update(nxtind,nxtsums+nxtsum) if allsum<H:continue if allsum==H: needamulets[i]=1 continue #生き残るため、除く必要がある最小ダメージ dif=allsum-H def is_ok(arg): return sumseg.query(arg,n)>dif ind=mgr_bisect(n,-1) thre_num=ind_to_num[ind] cusum=sumseg.query(ind,n) #print([cntseg.query(i,i+1) for i in range(n)]) #print([sumseg.query(i,i+1) for i in range(n)]) needamulets[i]=cntseg.query(ind,n)-((cusum-(dif+1))//thre_num) #print(needamulets) ans=[-1]*(M+1) for i in range(M+1): ans[i]=bisect(needamulets,i) print(*ans) main()
ConDefects/ConDefects/Code/abc314_g/Python/47095184
condefects-python_data_1895
def func(a,b): return pow(a,3) + pow(a,2) * b + a * pow(b,2) + pow(b,3) n = int(input()) if n == 0: print(0) exit() ans = float("inf") a = 0 b = int(pow(n, 1/3)) + 1 x = func(a,b) while a <= b: tempx = func(a,b) if tempx >= n: b -= 1 x = tempx else: if ans > x: ans = x a += 1 print(ans) def func(a,b): return pow(a,3) + pow(a,2) * b + a * pow(b,2) + pow(b,3) n = int(input()) if n == 0: print(0) exit() ans = float("inf") a = 0 b = int(pow(n, 1/3)) + 1 x = func(a,b) while a <= b: tempx = func(a,b) if tempx >= n: b -= 1 x = tempx if ans > x: ans = x else: if ans > x: ans = x a += 1 print(ans)
ConDefects/ConDefects/Code/abc246_d/Python/45450422
condefects-python_data_1896
N=int(input()) def func(a,b): return (a+b)*(a**2+b**2) def bs(a,N): left_b=a right_b=10**6+10 center_b=(left_b+right_b)//2 if func(a,left_b)>=N: return left_b while right_b-left_b>1: if func(a,center_b)<=N: left_b=max(center_b,left_b+1) center_b=(left_b+right_b)//2 else: right_b=min(center_b,right_b-1) center_b=(left_b+right_b)//2 return right_b a1=2 a2=1 ans=func(0,bs(0,N)) for a in range(0,10**6+1): #print(a,bs(a,N)) ans=min(ans,func(a,bs(a,N))) print(ans) #print(func(2,1)) N=int(input()) def func(a,b): return (a+b)*(a**2+b**2) def bs(a,N): left_b=a right_b=10**6+10 center_b=(left_b+right_b)//2 if func(a,left_b)>=N: return left_b while right_b-left_b>1: if func(a,center_b)<N: left_b=max(center_b,left_b+1) center_b=(left_b+right_b)//2 else: right_b=min(center_b,right_b-1) center_b=(left_b+right_b)//2 return right_b a1=2 a2=1 ans=func(0,bs(0,N)) for a in range(0,10**6+1): #print(a,bs(a,N)) ans=min(ans,func(a,bs(a,N))) print(ans) #print(func(2,1))
ConDefects/ConDefects/Code/abc246_d/Python/45753152
condefects-python_data_1897
def calc(a, b): return a * a * a + a * a * b + a * b * b + b * b * b N = int(input()) ans = 10 ** 20 for a in range(10 ** 6): lb = a ub = 10 ** 6 while ub - lb > 1: mid = (ub + lb) // 2 if calc(a, mid) >= N: ub = mid else: lb = mid ans = min(ans, calc(a, ub)) print(ans) def calc(a, b): return a * a * a + a * a * b + a * b * b + b * b * b N = int(input()) ans = 10 ** 20 for a in range(10 ** 6): lb = a - 1 ub = 10 ** 6 while ub - lb > 1: mid = (ub + lb) // 2 if calc(a, mid) >= N: ub = mid else: lb = mid ans = min(ans, calc(a, ub)) print(ans)
ConDefects/ConDefects/Code/abc246_d/Python/45067622
condefects-python_data_1898
n = int(input()) def f(a, b): return a **3 + a**2*b + a*b**2 + b**3 def binary_search(a): left = 1 right = 10 ** 6+1 while left < right: mid = (left + right) // 2 if f(a, mid) >= n: right = mid else: left = mid + 1 return left ans = 10**18+1 for a in range(10**6+1): b = binary_search(a) v = f(a, b) if v < ans: ans = v print(ans) n = int(input()) def f(a, b): return a **3 + a**2*b + a*b**2 + b**3 def binary_search(a): left = 0 right = 10 ** 6+1 while left < right: mid = (left + right) // 2 if f(a, mid) >= n: right = mid else: left = mid + 1 return left ans = 10**18+1 for a in range(10**6+1): b = binary_search(a) v = f(a, b) if v < ans: ans = v print(ans)
ConDefects/ConDefects/Code/abc246_d/Python/45897602
condefects-python_data_1899
n = int(input()) def f(a, b): return a*a*a + a*a*b + a*b*b + b*b*b ni = 10**6 ans = float('inf') for a in range(1, ni+1): l = -1 r = 10**6+1 while r - l > 1: b = (r+l) // 2 if f(a, b) < n: l = b else: r = b ans = min(ans, f(a, r)) print(ans) n = int(input()) def f(a, b): return a*a*a + a*a*b + a*b*b + b*b*b ni = 10**6 ans = float('inf') for a in range(ni+1): l = -1 r = 10**6+1 while r - l > 1: b = (r+l) // 2 if f(a, b) < n: l = b else: r = b ans = min(ans, f(a, r)) print(ans)
ConDefects/ConDefects/Code/abc246_d/Python/45039073
condefects-python_data_1900
N = int(input()) def calc(m, n): return (m**2+n**2)*(m+n) cand = set() for a in range(10**6+1): l,r = 0, 10**6+10 while r-l>1: m = (l+r)//2 if calc(a,m)>=N: r = m else: l = m cand.add(calc(a,r)) print(min(cand)) N = int(input()) def calc(m, n): return (m**2+n**2)*(m+n) cand = set() for a in range(10**6+1): l,r = -1, 10**6+10 while r-l>1: m = (l+r)//2 if calc(a,m)>=N: r = m else: l = m cand.add(calc(a,r)) print(min(cand))
ConDefects/ConDefects/Code/abc246_d/Python/45469208