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Provide tags and a correct Python 3 solution for this coding contest problem. You are given an undirected graph without self-loops or multiple edges which consists of n vertices and m edges. Also you are given three integers n_1, n_2 and n_3. Can you label each vertex with one of three numbers 1, 2 or 3 in such way, ...
instruction
0
40,582
13
81,164
Tags: dfs and similar, dp, graphs Correct Solution: ``` import sys input = sys.stdin.buffer.readline N, M = map(int, input().split()) n1, n2, n3 = map(int, input().split()) def check(): graph = [[] for _ in range(N)] for _ in range(M): a, b = map(int, input().split()) graph[a-1].append(b-1)...
output
1
40,582
13
81,165
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 without self-loops or multiple edges which consists of n vertices and m edges. Also you are given three integers n_1, n_2 and n_3. Can you label each vertex wi...
instruction
0
40,583
13
81,166
Yes
output
1
40,583
13
81,167
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 without self-loops or multiple edges which consists of n vertices and m edges. Also you are given three integers n_1, n_2 and n_3. Can you label each vertex wi...
instruction
0
40,584
13
81,168
Yes
output
1
40,584
13
81,169
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 without self-loops or multiple edges which consists of n vertices and m edges. Also you are given three integers n_1, n_2 and n_3. Can you label each vertex wi...
instruction
0
40,585
13
81,170
Yes
output
1
40,585
13
81,171
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 without self-loops or multiple edges which consists of n vertices and m edges. Also you are given three integers n_1, n_2 and n_3. Can you label each vertex wi...
instruction
0
40,586
13
81,172
Yes
output
1
40,586
13
81,173
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 without self-loops or multiple edges which consists of n vertices and m edges. Also you are given three integers n_1, n_2 and n_3. Can you label each vertex wi...
instruction
0
40,587
13
81,174
No
output
1
40,587
13
81,175
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 without self-loops or multiple edges which consists of n vertices and m edges. Also you are given three integers n_1, n_2 and n_3. Can you label each vertex wi...
instruction
0
40,588
13
81,176
No
output
1
40,588
13
81,177
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 without self-loops or multiple edges which consists of n vertices and m edges. Also you are given three integers n_1, n_2 and n_3. Can you label each vertex wi...
instruction
0
40,589
13
81,178
No
output
1
40,589
13
81,179
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 without self-loops or multiple edges which consists of n vertices and m edges. Also you are given three integers n_1, n_2 and n_3. Can you label each vertex wi...
instruction
0
40,590
13
81,180
No
output
1
40,590
13
81,181
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree consisting of n nodes. You generate an array from the tree by marking nodes one by one. Initially, when no nodes are marked, a node is equiprobably chosen and marked from the entire tree. After that, until all nodes a...
instruction
0
40,675
13
81,350
Tags: brute force, combinatorics, dp, graphs, math, probabilities, trees Correct Solution: ``` def solve(): MOD = 10**9+7 inv2 = (MOD+1)//2 n = int(input()) #graph = [[] for i in range(n)] dist = [[n]*n for i in range(n)] for i in range(n): dist[i][i] = 0 for i in range(n-1): ...
output
1
40,675
13
81,351
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree consisting of n nodes. You generate an array from the tree by marking nodes one by one. Initially, when no nodes are marked, a node is equiprobably chosen and marked from the entire tree. After that, until all nodes a...
instruction
0
40,676
13
81,352
Tags: brute force, combinatorics, dp, graphs, math, probabilities, trees Correct Solution: ``` import sys, os from collections import defaultdict from queue import Queue if os.environ['USERNAME']=='kissz': inp=open('in.txt','r').readline def debug(*args): print(*args,file=sys.stderr) else: inp=sys....
output
1
40,676
13
81,353
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree consisting of n nodes. You generate an array from the tree by marking nodes one by one. Initially, when no nodes are marked, a node is equiprobably chosen and marked from the entire tree. After that, until all nodes a...
instruction
0
40,677
13
81,354
Tags: brute force, combinatorics, dp, graphs, math, probabilities, trees Correct Solution: ``` import sys input = lambda: sys.stdin.readline().rstrip() from collections import deque mod = 10 ** 9 + 7 N = int(input()) E = [] for _ in range(N - 1): x, y = map(int, input().split()) x, y = x-1, y-1 E.append((x...
output
1
40,677
13
81,355
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree consisting of n nodes. You generate an array from the tree by marking nodes one by one. Initially, when no nodes are marked, a node is equiprobably chosen and marked from the entire tree. After that, until all nodes a...
instruction
0
40,678
13
81,356
Tags: brute force, combinatorics, dp, graphs, math, probabilities, trees Correct Solution: ``` import sys input = sys.stdin.readline from collections import deque MOD = 10 ** 9 + 7 N = 1000 fact = [0 for _ in range(N)] invfact = [0 for _ in range(N)] fact[0] = 1 for i in range(1, N): fact[i] = fact[i - 1] * i % MOD...
output
1
40,678
13
81,357
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree consisting of n nodes. You generate an array from the tree by marking nodes one by one. Initially, when no nodes are marked, a node is equiprobably chosen and marked from the entire tree. After that, until all nodes a...
instruction
0
40,679
13
81,358
Tags: brute force, combinatorics, dp, graphs, math, probabilities, trees Correct Solution: ``` mod = 10**9 + 7 def power(a, b): if b == 0: return 1 s = power(a, b >> 1) s = s * s % mod if b&1: return (s * a % mod) return s n = int(input()) d = [[10**9 for i in range(n)] for i in range(n)] for i in ...
output
1
40,679
13
81,359
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree consisting of n nodes. You generate an array from the tree by marking nodes one by one. Initially, when no nodes are marked, a node is equiprobably chosen and marked from the entire tree. After that, until all nodes a...
instruction
0
40,680
13
81,360
Tags: brute force, combinatorics, dp, graphs, math, probabilities, trees Correct Solution: ``` import sys input = sys.stdin.readline n=int(input()) N=n mod=10**9+7 E=[[] for i in range(n)] for i in range(n-1): x,y=map(int,input().split()) x-=1 y-=1 E[x].append(y) E[y].append(x) INV2=pow(2,mod-2,m...
output
1
40,680
13
81,361
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree consisting of n nodes. You generate an array from the tree by marking nodes one by one. Initially, when no nodes are marked, a node is equiprobably chosen and marked from the entire tree. After that, until all nodes a...
instruction
0
40,681
13
81,362
Tags: brute force, combinatorics, dp, graphs, math, probabilities, trees Correct Solution: ``` import sys from sys import stdin from collections import deque def NC_Dij(lis,start): ret = [float("inf")] * len(lis) ret[start] = 0 q = deque([start]) plis = [i for i in range(len(lis))] while len...
output
1
40,681
13
81,363
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree consisting of n nodes. You generate an array from the tree by marking nodes one by one. Initially, when no nodes are marked, a node is equiprobably chosen and marked from the entire tree. After that, until all nodes a...
instruction
0
40,682
13
81,364
Tags: brute force, combinatorics, dp, graphs, math, probabilities, trees Correct Solution: ``` from sys import stdin, stdout # 1 -> 2 -> 3 -> 4 -> 5 -> 6 # 2^4 = (2^3) + (2^3) def dfs(cur, pre, d, dic, dep_a, jmp_a): dep_a[cur] = d jmp_a[cur][0] = pre for i in range(1, 10): jmp_a[cur][i] = jmp_a[...
output
1
40,682
13
81,365
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 nodes. You generate an array from the tree by marking nodes one by one. Initially, when no nodes are marked, a node is equiprobably chosen and marked from t...
instruction
0
40,683
13
81,366
Yes
output
1
40,683
13
81,367
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 nodes. You generate an array from the tree by marking nodes one by one. Initially, when no nodes are marked, a node is equiprobably chosen and marked from t...
instruction
0
40,684
13
81,368
Yes
output
1
40,684
13
81,369
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 nodes. You generate an array from the tree by marking nodes one by one. Initially, when no nodes are marked, a node is equiprobably chosen and marked from t...
instruction
0
40,685
13
81,370
Yes
output
1
40,685
13
81,371
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 nodes. You generate an array from the tree by marking nodes one by one. Initially, when no nodes are marked, a node is equiprobably chosen and marked from t...
instruction
0
40,686
13
81,372
No
output
1
40,686
13
81,373
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 nodes. You generate an array from the tree by marking nodes one by one. Initially, when no nodes are marked, a node is equiprobably chosen and marked from t...
instruction
0
40,687
13
81,374
No
output
1
40,687
13
81,375
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 nodes. You generate an array from the tree by marking nodes one by one. Initially, when no nodes are marked, a node is equiprobably chosen and marked from t...
instruction
0
40,688
13
81,376
No
output
1
40,688
13
81,377
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 nodes. You generate an array from the tree by marking nodes one by one. Initially, when no nodes are marked, a node is equiprobably chosen and marked from t...
instruction
0
40,689
13
81,378
No
output
1
40,689
13
81,379
Provide tags and a correct Python 3 solution for this coding contest problem. Given three numbers n, a, b. You need to find an adjacency matrix of such an undirected graph that the number of components in it is equal to a, and the number of components in its complement is b. The matrix must be symmetric, and all digit...
instruction
0
40,959
13
81,918
Tags: constructive algorithms, graphs, implementation Correct Solution: ``` n, a, b = map(int, input().split()) if min(a, b) > 1 or 1 < n < 4 and max(a, b) == 1: print('NO') exit() print('YES') f = int(a == 1) g = [a, b][f] r = [[f] * n for i in range(n)] for i in range(n): r[i][i] = 0 for i in range(n - g)...
output
1
40,959
13
81,919
Provide tags and a correct Python 3 solution for this coding contest problem. Given three numbers n, a, b. You need to find an adjacency matrix of such an undirected graph that the number of components in it is equal to a, and the number of components in its complement is b. The matrix must be symmetric, and all digit...
instruction
0
40,960
13
81,920
Tags: constructive algorithms, graphs, implementation Correct Solution: ``` str=input().split() n,a,b=[int(str[x]) for x in range(0,3)] inv=0 if (b!=1): t=a a=b b=t inv=1 if (b!=1 or n>1 and n<4 and a==1 and b==1): print ('NO') exit() print ('YES') f=[[0]*n for i in range(0,n)] #print (f) for i in range(...
output
1
40,960
13
81,921
Provide tags and a correct Python 3 solution for this coding contest problem. Given three numbers n, a, b. You need to find an adjacency matrix of such an undirected graph that the number of components in it is equal to a, and the number of components in its complement is b. The matrix must be symmetric, and all digit...
instruction
0
40,961
13
81,922
Tags: constructive algorithms, graphs, implementation Correct Solution: ``` def generate_matrix(n): result = [[0 for c in range(n)] for y in range(n)] return result def generate_m_component_matrix(n, comp): result = generate_matrix(n) for i in range(0, n - comp + 1): for j in range(0, n - comp...
output
1
40,961
13
81,923
Provide tags and a correct Python 3 solution for this coding contest problem. Given three numbers n, a, b. You need to find an adjacency matrix of such an undirected graph that the number of components in it is equal to a, and the number of components in its complement is b. The matrix must be symmetric, and all digit...
instruction
0
40,962
13
81,924
Tags: constructive algorithms, graphs, implementation Correct Solution: ``` # Educational Codeforces Round 45 (Rated for Div. 2) import collections from functools import cmp_to_key #key=cmp_to_key(lambda x,y: 1 if x not in y else -1 ) import sys def getIntList(): return list(map(int, input().split())) ...
output
1
40,962
13
81,925
Provide tags and a correct Python 3 solution for this coding contest problem. Given three numbers n, a, b. You need to find an adjacency matrix of such an undirected graph that the number of components in it is equal to a, and the number of components in its complement is b. The matrix must be symmetric, and all digit...
instruction
0
40,963
13
81,926
Tags: constructive algorithms, graphs, implementation Correct Solution: ``` n, a, b = map(int, input().split()) if min(a, b) > 1 or 1 < n < 4 and max(a, b) == 1: print('NO') exit() print('YES') f = int(a == 1) g = [a, b][f] r = [[f] * n for i in range(n)] for i in range(n): r[i][i] = 0 for i in range(n - g)...
output
1
40,963
13
81,927
Provide tags and a correct Python 3 solution for this coding contest problem. Given three numbers n, a, b. You need to find an adjacency matrix of such an undirected graph that the number of components in it is equal to a, and the number of components in its complement is b. The matrix must be symmetric, and all digit...
instruction
0
40,964
13
81,928
Tags: constructive algorithms, graphs, implementation Correct Solution: ``` def generate_matrix(n): result = [[0 for x in range(n)] for y in range(n)] return result def generate_m_component_matrix(n, comp): result = generate_matrix(n) for i in range(0, n - comp + 1): for j in range(0, n - comp ...
output
1
40,964
13
81,929
Provide tags and a correct Python 3 solution for this coding contest problem. Given three numbers n, a, b. You need to find an adjacency matrix of such an undirected graph that the number of components in it is equal to a, and the number of components in its complement is b. The matrix must be symmetric, and all digit...
instruction
0
40,965
13
81,930
Tags: constructive algorithms, graphs, implementation Correct Solution: ``` def ii(): return int(input()) def mi(): return map(int, input().split()) def li(): return list(mi()) n, a, b = mi() c = max(a, b) if a != 1 and b != 1: print('NO') elif n == 2 and c == 1: print('NO') elif n == 3 and c == 1:...
output
1
40,965
13
81,931
Provide tags and a correct Python 3 solution for this coding contest problem. Given three numbers n, a, b. You need to find an adjacency matrix of such an undirected graph that the number of components in it is equal to a, and the number of components in its complement is b. The matrix must be symmetric, and all digit...
instruction
0
40,966
13
81,932
Tags: constructive algorithms, graphs, implementation Correct Solution: ``` def read(): return int(input()) def readlist(): return list(map(int, input().split())) def readmap(): return map(int, input().split()) N, A, B = readmap() if N == 1: print("YES") print(0) elif N == 2: if A == 1 a...
output
1
40,966
13
81,933
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given three numbers n, a, b. You need to find an adjacency matrix of such an undirected graph that the number of components in it is equal to a, and the number of components in its complement is...
instruction
0
40,967
13
81,934
Yes
output
1
40,967
13
81,935
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given three numbers n, a, b. You need to find an adjacency matrix of such an undirected graph that the number of components in it is equal to a, and the number of components in its complement is...
instruction
0
40,968
13
81,936
Yes
output
1
40,968
13
81,937
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given three numbers n, a, b. You need to find an adjacency matrix of such an undirected graph that the number of components in it is equal to a, and the number of components in its complement is...
instruction
0
40,969
13
81,938
Yes
output
1
40,969
13
81,939
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given three numbers n, a, b. You need to find an adjacency matrix of such an undirected graph that the number of components in it is equal to a, and the number of components in its complement is...
instruction
0
40,970
13
81,940
Yes
output
1
40,970
13
81,941
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given three numbers n, a, b. You need to find an adjacency matrix of such an undirected graph that the number of components in it is equal to a, and the number of components in its complement is...
instruction
0
40,971
13
81,942
No
output
1
40,971
13
81,943
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given three numbers n, a, b. You need to find an adjacency matrix of such an undirected graph that the number of components in it is equal to a, and the number of components in its complement is...
instruction
0
40,972
13
81,944
No
output
1
40,972
13
81,945
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given three numbers n, a, b. You need to find an adjacency matrix of such an undirected graph that the number of components in it is equal to a, and the number of components in its complement is...
instruction
0
40,973
13
81,946
No
output
1
40,973
13
81,947
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Given three numbers n, a, b. You need to find an adjacency matrix of such an undirected graph that the number of components in it is equal to a, and the number of components in its complement is...
instruction
0
40,974
13
81,948
No
output
1
40,974
13
81,949
Provide tags and a correct Python 3 solution for this coding contest problem. Petya has a simple graph (that is, a graph without loops or multiple edges) consisting of n vertices and m edges. The weight of the i-th vertex is a_i. The weight of the i-th edge is w_i. A subgraph of a graph is some set of the graph ver...
instruction
0
41,245
13
82,490
Tags: flows, graphs Correct Solution: ``` class edge(object): def __init__(self,ne,to,fl): self.ne=ne self.to=to self.fl=fl def add(x,y,z): global tot tot+=1 e.append(edge(he[x],y,z)) he[x]=tot def addedge(x,y,z): add(x,y,z) add(y,x,0) def bfs(): global deep deep=[0 for i in range(T+1)] q=[] q.appen...
output
1
41,245
13
82,491
Provide tags and a correct Python 3 solution for this coding contest problem. Petya has a simple graph (that is, a graph without loops or multiple edges) consisting of n vertices and m edges. The weight of the i-th vertex is a_i. The weight of the i-th edge is w_i. A subgraph of a graph is some set of the graph ver...
instruction
0
41,246
13
82,492
Tags: flows, graphs Correct Solution: ``` class edge(object): def __init__(self,ne,to,fl): self.ne=ne self.to=to self.fl=fl def add(x,y,z): global tot tot+=1 e.append(edge(he[x],y,z)) he[x]=tot def addedge(x,y,z): add(x,y,z) add(y,x,0) def bfs(): global deep deep=[0 for i in range(T+1)] q=[] q.appen...
output
1
41,246
13
82,493
Provide tags and a correct Python 3 solution for this coding contest problem. Petya has a simple graph (that is, a graph without loops or multiple edges) consisting of n vertices and m edges. The weight of the i-th vertex is a_i. The weight of the i-th edge is w_i. A subgraph of a graph is some set of the graph ver...
instruction
0
41,247
13
82,494
Tags: flows, graphs Correct Solution: ``` from collections import deque def addedge(u, v, value): global e a = [v, value, None] b = [u, 0, a] a[2] = b e[u].append(a) e[v].append(b) inf = 2 * (10 ** 12) ans = 0 n, m = map(int, input().split()) e = [[] for i in range(n + m + 2)] a = tuple(map(int, input().split...
output
1
41,247
13
82,495
Provide tags and a correct Python 3 solution for this coding contest problem. Petya has a simple graph (that is, a graph without loops or multiple edges) consisting of n vertices and m edges. The weight of the i-th vertex is a_i. The weight of the i-th edge is w_i. A subgraph of a graph is some set of the graph ver...
instruction
0
41,248
13
82,496
Tags: flows, graphs Correct Solution: ``` import sys class Graph: verticies = {} nodesCount = 0 class Vertex: def __init__(self, label, endPoint=None): self.label = label self.edges = [] self.visitedToken = 0 self.endPoint = endPoint class Edge: ...
output
1
41,248
13
82,497
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Petya has a simple graph (that is, a graph without loops or multiple edges) consisting of n vertices and m edges. The weight of the i-th vertex is a_i. The weight of the i-th edge is w_i. A s...
instruction
0
41,249
13
82,498
No
output
1
41,249
13
82,499
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Petya has a simple graph (that is, a graph without loops or multiple edges) consisting of n vertices and m edges. The weight of the i-th vertex is a_i. The weight of the i-th edge is w_i. A s...
instruction
0
41,250
13
82,500
No
output
1
41,250
13
82,501
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Petya has a simple graph (that is, a graph without loops or multiple edges) consisting of n vertices and m edges. The weight of the i-th vertex is a_i. The weight of the i-th edge is w_i. A s...
instruction
0
41,251
13
82,502
No
output
1
41,251
13
82,503
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree with n vertices. Each vertex i has a value a_i associated with it. Let us root the tree at some vertex v. The vertex v is called a distinctive root if the following holds: in all paths that start at v and end at some ot...
instruction
0
41,481
13
82,962
Tags: data structures, dfs and similar, dp, trees Correct Solution: ``` import io, os from collections import Counter, defaultdict, deque class LazySegmentTree: def __init__(self, data, default=0, func=max): """initialize the lazy segment tree with data""" _default = default self._func = fu...
output
1
41,481
13
82,963
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree with n vertices. Each vertex i has a value a_i associated with it. Let us root the tree at some vertex v. The vertex v is called a distinctive root if the following holds: in all paths that start at v and end at some ot...
instruction
0
41,482
13
82,964
Tags: data structures, dfs and similar, dp, trees Correct Solution: ``` import io, os from collections import Counter, defaultdict, deque class LazySegmentTree: def __init__(self, data, default=0, func=max): """initialize the lazy segment tree with data""" _default = default self._func = fu...
output
1
41,482
13
82,965
Provide tags and a correct Python 3 solution for this coding contest problem. You are given a tree with n vertices. Each vertex i has a value a_i associated with it. Let us root the tree at some vertex v. The vertex v is called a distinctive root if the following holds: in all paths that start at v and end at some ot...
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Tags: data structures, dfs and similar, dp, trees Correct Solution: ``` import io, os;from collections import Counter, defaultdict, deque class LazySegmentTree: def __init__(self, data, default=0, func=max): _default = default self._func = func self._len = len(data) self._size = _s...
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