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Provide tags and a correct Python 3 solution for this coding contest problem. The clique problem is one of the most well-known NP-complete problems. Under some simplification it can be formulated as follows. Consider an undirected graph G. It is required to find a subset of vertices C of the maximum size such that any...
instruction
0
75,452
13
150,904
Tags: data structures, dp, greedy, implementation, sortings Correct Solution: ``` N = int(input()) pairs = [] for i in range(N): x, w = map(int, input().split()) pairs.append((x, w)) sorted_pairs = sorted(pairs, key=lambda x: x[0]) stack = [] stack.append(sorted_pairs[0]) for x, w in sorted_pairs[1:N]: r...
output
1
75,452
13
150,905
Provide tags and a correct Python 3 solution for this coding contest problem. The clique problem is one of the most well-known NP-complete problems. Under some simplification it can be formulated as follows. Consider an undirected graph G. It is required to find a subset of vertices C of the maximum size such that any...
instruction
0
75,453
13
150,906
Tags: data structures, dp, greedy, implementation, sortings Correct Solution: ``` n = int(input()) S=[] for _ in range(n): x,w = list(map(int,input().split())) S.append((x,w)) S = sorted(S,key=lambda kv:kv[0]+kv[1]) m=1 last=S[0] for kv in S[1:]: if abs(kv[0]-last[0]) >= kv[1]+last[1]: m+=1 ...
output
1
75,453
13
150,907
Provide tags and a correct Python 3 solution for this coding contest problem. The clique problem is one of the most well-known NP-complete problems. Under some simplification it can be formulated as follows. Consider an undirected graph G. It is required to find a subset of vertices C of the maximum size such that any...
instruction
0
75,454
13
150,908
Tags: data structures, dp, greedy, implementation, sortings Correct Solution: ``` def on(l1, l2): return(abs(l1[0]-l2[0])>=l1[1]+l2[1]) n = int(input()) inf = [] for i in range(n): a,b = map(int,input().split()) inf.append([a+b,a-b]) inf.sort() res = 1 last = 0 for i in range(1,n): if inf[i][1] >= inf[l...
output
1
75,454
13
150,909
Provide tags and a correct Python 3 solution for this coding contest problem. The clique problem is one of the most well-known NP-complete problems. Under some simplification it can be formulated as follows. Consider an undirected graph G. It is required to find a subset of vertices C of the maximum size such that any...
instruction
0
75,455
13
150,910
Tags: data structures, dp, greedy, implementation, sortings Correct Solution: ``` from sys import stdin from sys import stdout from collections import defaultdict n=int(stdin.readline()) a=[map(int,stdin.readline().split(),(10,10)) for i in range(n)] v=defaultdict(list) for i,e in enumerate(a,1): q,f=e v[q-f].a...
output
1
75,455
13
150,911
Provide tags and a correct Python 3 solution for this coding contest problem. The clique problem is one of the most well-known NP-complete problems. Under some simplification it can be formulated as follows. Consider an undirected graph G. It is required to find a subset of vertices C of the maximum size such that any...
instruction
0
75,456
13
150,912
Tags: data structures, dp, greedy, implementation, sortings Correct Solution: ``` def main(): from bisect import bisect_right as br n = int(input()) ab = [list(map(int, input().split())) for _ in [0]*n] ab.sort() ans = [-10**20] l = 1 for a, b in ab: c = br(ans, a-b) d = a+...
output
1
75,456
13
150,913
Provide tags and a correct Python 3 solution for this coding contest problem. The clique problem is one of the most well-known NP-complete problems. Under some simplification it can be formulated as follows. Consider an undirected graph G. It is required to find a subset of vertices C of the maximum size such that any...
instruction
0
75,457
13
150,914
Tags: data structures, dp, greedy, implementation, sortings Correct Solution: ``` R = lambda: list(map(int,input().split())) n = int(input()) a = [] for _ in range(n): a.append(R()) a.sort(key=lambda x:(x[0]+x[1])) j = 0; ans = 1 for i in range(1,n): if a[j][0]+a[j][1]<=a[i][0]-a[i][1]: ans += 1 ...
output
1
75,457
13
150,915
Provide tags and a correct Python 3 solution for this coding contest problem. The clique problem is one of the most well-known NP-complete problems. Under some simplification it can be formulated as follows. Consider an undirected graph G. It is required to find a subset of vertices C of the maximum size such that any...
instruction
0
75,458
13
150,916
Tags: data structures, dp, greedy, implementation, sortings Correct Solution: ``` #!/usr/bin/env python # coding=utf-8 n = int(input()) l = [] for i in range(n): x, y = map(int, input().split()) l += [(x + y, x - y)] l.sort() r = -2000000000 a = 0 for u in l: if u[1] >= r: a += 1 r = u[0] p...
output
1
75,458
13
150,917
Provide tags and a correct Python 3 solution for this coding contest problem. The clique problem is one of the most well-known NP-complete problems. Under some simplification it can be formulated as follows. Consider an undirected graph G. It is required to find a subset of vertices C of the maximum size such that any...
instruction
0
75,459
13
150,918
Tags: data structures, dp, greedy, implementation, sortings Correct Solution: ``` import sys n = int(input()) ranges = [] for xw in sys.stdin: x, w = map(int, xw.split()) ranges.append((x + w, x - w)) ranges.sort() result = 0 end = - float('inf') for e, b in ranges: if b >= end: result += 1 ...
output
1
75,459
13
150,919
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The clique problem is one of the most well-known NP-complete problems. Under some simplification it can be formulated as follows. Consider an undirected graph G. It is required to find a subset ...
instruction
0
75,460
13
150,920
Yes
output
1
75,460
13
150,921
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The clique problem is one of the most well-known NP-complete problems. Under some simplification it can be formulated as follows. Consider an undirected graph G. It is required to find a subset ...
instruction
0
75,461
13
150,922
No
output
1
75,461
13
150,923
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The clique problem is one of the most well-known NP-complete problems. Under some simplification it can be formulated as follows. Consider an undirected graph G. It is required to find a subset ...
instruction
0
75,462
13
150,924
No
output
1
75,462
13
150,925
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The clique problem is one of the most well-known NP-complete problems. Under some simplification it can be formulated as follows. Consider an undirected graph G. It is required to find a subset ...
instruction
0
75,463
13
150,926
No
output
1
75,463
13
150,927
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The clique problem is one of the most well-known NP-complete problems. Under some simplification it can be formulated as follows. Consider an undirected graph G. It is required to find a subset ...
instruction
0
75,464
13
150,928
No
output
1
75,464
13
150,929
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an undirected bipartite graph without multiple edges. You should paint the edges of graph to minimal number of colours, so that no two adjacent edges have the same colour. Input ...
instruction
0
75,496
13
150,992
No
output
1
75,496
13
150,993
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an undirected bipartite graph without multiple edges. You should paint the edges of graph to minimal number of colours, so that no two adjacent edges have the same colour. Input ...
instruction
0
75,497
13
150,994
No
output
1
75,497
13
150,995
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an undirected bipartite graph without multiple edges. You should paint the edges of graph to minimal number of colours, so that no two adjacent edges have the same colour. Input ...
instruction
0
75,498
13
150,996
No
output
1
75,498
13
150,997
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an undirected bipartite graph without multiple edges. You should paint the edges of graph to minimal number of colours, so that no two adjacent edges have the same colour. Input ...
instruction
0
75,499
13
150,998
No
output
1
75,499
13
150,999
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bob has a simple undirected connected graph (without self-loops and multiple edges). He wants to learn whether his graph is bipartite (that is, you can paint all vertices of the graph into two c...
instruction
0
75,890
13
151,780
No
output
1
75,890
13
151,781
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Bob has a simple undirected connected graph (without self-loops and multiple edges). He wants to learn whether his graph is bipartite (that is, you can paint all vertices of the graph into two c...
instruction
0
75,891
13
151,782
No
output
1
75,891
13
151,783
Provide tags and a correct Python 3 solution for this coding contest problem. Mitya has a rooted tree with n vertices indexed from 1 to n, where the root has index 1. Each vertex v initially had an integer number a_v ≥ 0 written on it. For every vertex v Mitya has computed s_v: the sum of all values written on the ver...
instruction
0
75,901
13
151,802
Tags: constructive algorithms, dfs and similar, greedy, trees Correct Solution: ``` #!/usr/bin/env python # coding: utf-8 # In[ ]: n=int(input()) parents=['None']+list(map(int, input().rstrip().split())) weights=list(map(int, input().rstrip().split())) # In[102]: # In[113]: children = [[] for i in range(0,n)...
output
1
75,901
13
151,803
Provide tags and a correct Python 3 solution for this coding contest problem. Mitya has a rooted tree with n vertices indexed from 1 to n, where the root has index 1. Each vertex v initially had an integer number a_v ≥ 0 written on it. For every vertex v Mitya has computed s_v: the sum of all values written on the ver...
instruction
0
75,902
13
151,804
Tags: constructive algorithms, dfs and similar, greedy, trees Correct Solution: ``` n = int(input()) p = list(map(int, input().split())) p = [-1] + [i - 1 for i in p] s = list(map(int, input().split())) g = {} for i in range(n): g[i] = [] for i in range(1, len(p)): g[p[i]].append(i) d = {} md = 1 q = [(0, 1)] ...
output
1
75,902
13
151,805
Provide tags and a correct Python 3 solution for this coding contest problem. Mitya has a rooted tree with n vertices indexed from 1 to n, where the root has index 1. Each vertex v initially had an integer number a_v ≥ 0 written on it. For every vertex v Mitya has computed s_v: the sum of all values written on the ver...
instruction
0
75,903
13
151,806
Tags: constructive algorithms, dfs and similar, greedy, trees Correct Solution: ``` n = int(input()) p = [0, 0] + list(map(int, input().split())) s = [0] + list(map(int, input().split())) for i in range(2,n+1): if s[i]!=-1 and (s[p[i]]==-1 or s[p[i]]>s[i]): s[p[i]]=s[i] a=s[::] for i in range(2,n+1): if...
output
1
75,903
13
151,807
Provide tags and a correct Python 3 solution for this coding contest problem. Mitya has a rooted tree with n vertices indexed from 1 to n, where the root has index 1. Each vertex v initially had an integer number a_v ≥ 0 written on it. For every vertex v Mitya has computed s_v: the sum of all values written on the ver...
instruction
0
75,904
13
151,808
Tags: constructive algorithms, dfs and similar, greedy, trees Correct Solution: ``` import sys input = sys.stdin.readline n=int(input()) P=[0,0]+list(map(int,input().split())) S=[0]+list(map(int,input().split())) SONS=[[] for i in range(n+1)] for i in range(n+1): SONS[P[i]].append(i) from collections import de...
output
1
75,904
13
151,809
Provide tags and a correct Python 3 solution for this coding contest problem. Mitya has a rooted tree with n vertices indexed from 1 to n, where the root has index 1. Each vertex v initially had an integer number a_v ≥ 0 written on it. For every vertex v Mitya has computed s_v: the sum of all values written on the ver...
instruction
0
75,905
13
151,810
Tags: constructive algorithms, dfs and similar, greedy, trees Correct Solution: ``` n = int(input()) p = [1] + list(map(int, input().split())) s = list(map(int, input().split())) p = [i-1 for i in p] for i in range(1,n): if s[i] != -1 and (s[p[i]] == -1 or s[p[i]] > s[i]): s[p[i]] = s[i] a = [s[0]]+[0]*(n-1...
output
1
75,905
13
151,811
Provide tags and a correct Python 3 solution for this coding contest problem. Mitya has a rooted tree with n vertices indexed from 1 to n, where the root has index 1. Each vertex v initially had an integer number a_v ≥ 0 written on it. For every vertex v Mitya has computed s_v: the sum of all values written on the ver...
instruction
0
75,906
13
151,812
Tags: constructive algorithms, dfs and similar, greedy, trees Correct Solution: ``` def solve(): n = int(input()) p = list(map(int, input().split(" "))) # 2...n s = list(map(int, input().split(" "))) # 1...n MAX_VAL = 10**9 + 2 v_child = [None] * n # 1...n for i, p_i in enumera...
output
1
75,906
13
151,813
Provide tags and a correct Python 3 solution for this coding contest problem. Mitya has a rooted tree with n vertices indexed from 1 to n, where the root has index 1. Each vertex v initially had an integer number a_v ≥ 0 written on it. For every vertex v Mitya has computed s_v: the sum of all values written on the ver...
instruction
0
75,907
13
151,814
Tags: constructive algorithms, dfs and similar, greedy, trees Correct Solution: ``` from itertools import combinations from sys import stdin import math def listIn(): return list((map(int,stdin.readline().strip().split()))) def stringIn(): return([x for x in stdin.readline().split()]) def intIn(): re...
output
1
75,907
13
151,815
Provide tags and a correct Python 3 solution for this coding contest problem. Mitya has a rooted tree with n vertices indexed from 1 to n, where the root has index 1. Each vertex v initially had an integer number a_v ≥ 0 written on it. For every vertex v Mitya has computed s_v: the sum of all values written on the ver...
instruction
0
75,908
13
151,816
Tags: constructive algorithms, dfs and similar, greedy, trees Correct Solution: ``` import sys amount = int(input()) preds = [int(s) for s in input().split()] s = [int(s) for s in input().split()] min_ = 10e18 childs = [[] for i in range(len(s))] a = [0] * len(s) a[0] = s[0] for i in range(len(preds)): childs[preds...
output
1
75,908
13
151,817
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mitya has a rooted tree with n vertices indexed from 1 to n, where the root has index 1. Each vertex v initially had an integer number a_v ≥ 0 written on it. For every vertex v Mitya has compute...
instruction
0
75,909
13
151,818
Yes
output
1
75,909
13
151,819
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mitya has a rooted tree with n vertices indexed from 1 to n, where the root has index 1. Each vertex v initially had an integer number a_v ≥ 0 written on it. For every vertex v Mitya has compute...
instruction
0
75,910
13
151,820
Yes
output
1
75,910
13
151,821
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mitya has a rooted tree with n vertices indexed from 1 to n, where the root has index 1. Each vertex v initially had an integer number a_v ≥ 0 written on it. For every vertex v Mitya has compute...
instruction
0
75,911
13
151,822
Yes
output
1
75,911
13
151,823
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mitya has a rooted tree with n vertices indexed from 1 to n, where the root has index 1. Each vertex v initially had an integer number a_v ≥ 0 written on it. For every vertex v Mitya has compute...
instruction
0
75,912
13
151,824
Yes
output
1
75,912
13
151,825
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mitya has a rooted tree with n vertices indexed from 1 to n, where the root has index 1. Each vertex v initially had an integer number a_v ≥ 0 written on it. For every vertex v Mitya has compute...
instruction
0
75,913
13
151,826
No
output
1
75,913
13
151,827
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mitya has a rooted tree with n vertices indexed from 1 to n, where the root has index 1. Each vertex v initially had an integer number a_v ≥ 0 written on it. For every vertex v Mitya has compute...
instruction
0
75,914
13
151,828
No
output
1
75,914
13
151,829
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mitya has a rooted tree with n vertices indexed from 1 to n, where the root has index 1. Each vertex v initially had an integer number a_v ≥ 0 written on it. For every vertex v Mitya has compute...
instruction
0
75,915
13
151,830
No
output
1
75,915
13
151,831
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Mitya has a rooted tree with n vertices indexed from 1 to n, where the root has index 1. Each vertex v initially had an integer number a_v ≥ 0 written on it. For every vertex v Mitya has compute...
instruction
0
75,916
13
151,832
No
output
1
75,916
13
151,833
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given an undirected graph with n vertices and m edges. You have to write a number on each vertex of this graph, each number should be either 0 or 1. After that, you write a number on eac...
instruction
0
75,969
13
151,938
No
output
1
75,969
13
151,939
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a directed graph on n vertices numbered 1 through n where each vertex (except n) has two outgoing arcs, red and blue. At any point in time, exactly one of the arcs is active for each ve...
instruction
0
75,986
13
151,972
No
output
1
75,986
13
151,973
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a directed graph on n vertices numbered 1 through n where each vertex (except n) has two outgoing arcs, red and blue. At any point in time, exactly one of the arcs is active for each ve...
instruction
0
75,987
13
151,974
No
output
1
75,987
13
151,975
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a directed graph on n vertices numbered 1 through n where each vertex (except n) has two outgoing arcs, red and blue. At any point in time, exactly one of the arcs is active for each ve...
instruction
0
75,988
13
151,976
No
output
1
75,988
13
151,977
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a directed graph on n vertices numbered 1 through n where each vertex (except n) has two outgoing arcs, red and blue. At any point in time, exactly one of the arcs is active for each ve...
instruction
0
75,989
13
151,978
No
output
1
75,989
13
151,979
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a tree consisting of n vertices, and m simple vertex paths. Your task is to find how many pairs of those paths intersect at exactly one vertex. More formally you have to find the n...
instruction
0
76,104
13
152,208
No
output
1
76,104
13
152,209
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a tree consisting of n vertices, and m simple vertex paths. Your task is to find how many pairs of those paths intersect at exactly one vertex. More formally you have to find the n...
instruction
0
76,105
13
152,210
No
output
1
76,105
13
152,211
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a tree consisting of n vertices, and m simple vertex paths. Your task is to find how many pairs of those paths intersect at exactly one vertex. More formally you have to find the n...
instruction
0
76,106
13
152,212
No
output
1
76,106
13
152,213
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given a tree consisting of n vertices, and m simple vertex paths. Your task is to find how many pairs of those paths intersect at exactly one vertex. More formally you have to find the n...
instruction
0
76,107
13
152,214
No
output
1
76,107
13
152,215
Provide tags and a correct Python 3 solution for this coding contest problem. Momiji has got a rooted tree, consisting of n nodes. The tree nodes are numbered by integers from 1 to n. The root has number 1. Momiji decided to play a game on this tree. The game consists of several steps. On each step, Momiji chooses on...
instruction
0
76,161
13
152,322
Tags: implementation, math, probabilities, trees Correct Solution: ``` # https://codeforces.com/problemset/problem/280/C from collections import defaultdict, deque import sys nodes = int(sys.stdin.readline()) edges = defaultdict(list) for line in sys.stdin: a, b = line.split() a = int(a) b = int(b) edg...
output
1
76,161
13
152,323
Provide tags and a correct Python 3 solution for this coding contest problem. Momiji has got a rooted tree, consisting of n nodes. The tree nodes are numbered by integers from 1 to n. The root has number 1. Momiji decided to play a game on this tree. The game consists of several steps. On each step, Momiji chooses on...
instruction
0
76,162
13
152,324
Tags: implementation, math, probabilities, trees Correct Solution: ``` from collections import deque from sys import stdin input = stdin.readline n = int(input()) a = [list(map(int, line.split())) for line in stdin.read().splitlines()] adj = [[] for _ in range(n + 1)] for (u, v) in a: adj[u].append(v) adj[v].a...
output
1
76,162
13
152,325
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given a tree with n nodes numbered from 1 to n. Each node i has an associated value V_i. If the simple path from u_1 to u_m consists of m nodes namely u_1 → u_2 → u_3 → ... u_{m-1} → u_{m}, the...
instruction
0
76,440
13
152,880
No
output
1
76,440
13
152,881
Provide a correct Python 3 solution for this coding contest problem. Let N be an even number. There is a tree with N vertices. The vertices are numbered 1, 2, ..., N. For each i (1 \leq i \leq N - 1), the i-th edge connects Vertex x_i and y_i. Snuke would like to decorate the tree with ribbons, as follows. First, h...
instruction
0
76,537
13
153,074
"Correct Solution: ``` import sys sys.setrecursionlimit(5001) MOD = 10 ** 9 + 7 n = int(input()) links = [set() for _ in range(n)] for line in sys.stdin.readlines(): x, y = map(int, line.split()) x -= 1 y -= 1 links[x].add(y) links[y].add(x) double_factorial_odd = [0] * (n // 2) prev = 1 for i in...
output
1
76,537
13
153,075
Provide a correct Python 3 solution for this coding contest problem. Let N be an even number. There is a tree with N vertices. The vertices are numbered 1, 2, ..., N. For each i (1 \leq i \leq N - 1), the i-th edge connects Vertex x_i and y_i. Snuke would like to decorate the tree with ribbons, as follows. First, h...
instruction
0
76,538
13
153,076
"Correct Solution: ``` mod = 10**9+7 #出力の制限 N = 2*10**5 g1 = [1, 1] # 元テーブル g2 = [1, 1] #逆元テーブル inverse = [0, 1] #逆元テーブル計算用テーブル for i in range( 2, N + 1 ): g1.append( ( g1[-1] * i ) % mod ) inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod ) g2.append( (g2[-1] * inverse[-1]) % mod ) import sys sys.s...
output
1
76,538
13
153,077
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Let N be an even number. There is a tree with N vertices. The vertices are numbered 1, 2, ..., N. For each i (1 \leq i \leq N - 1), the i-th edge connects Vertex x_i and y_i. Snuke would like ...
instruction
0
76,539
13
153,078
No
output
1
76,539
13
153,079