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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Determine if an N-sided polygon (not necessarily convex) with sides of length L_1, L_2, ..., L_N can be drawn in a two-dimensional plane. You can use the following theorem: Theorem: an N-sided...
instruction
0
82,423
23
164,846
No
output
1
82,423
23
164,847
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Determine if an N-sided polygon (not necessarily convex) with sides of length L_1, L_2, ..., L_N can be drawn in a two-dimensional plane. You can use the following theorem: Theorem: an N-sided...
instruction
0
82,424
23
164,848
No
output
1
82,424
23
164,849
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Determine if an N-sided polygon (not necessarily convex) with sides of length L_1, L_2, ..., L_N can be drawn in a two-dimensional plane. You can use the following theorem: Theorem: an N-sided...
instruction
0
82,425
23
164,850
No
output
1
82,425
23
164,851
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Determine if an N-sided polygon (not necessarily convex) with sides of length L_1, L_2, ..., L_N can be drawn in a two-dimensional plane. You can use the following theorem: Theorem: an N-sided...
instruction
0
82,426
23
164,852
No
output
1
82,426
23
164,853
Provide tags and a correct Python 3 solution for this coding contest problem. You are given 4n sticks, the length of the i-th stick is a_i. You have to create n rectangles, each rectangle will consist of exactly 4 sticks from the given set. The rectangle consists of four sides, opposite sides should have equal length...
instruction
0
82,676
23
165,352
Tags: greedy, math Correct Solution: ``` q = int(input()) for _ in range(q): n = int(input()) array = list(map(int, input().split())) array.sort() flag = 1 for i in set(array): if array.count(i) % 2: flag = 0 break if not flag: print("NO") contin...
output
1
82,676
23
165,353
Provide tags and a correct Python 3 solution for this coding contest problem. You are given 4n sticks, the length of the i-th stick is a_i. You have to create n rectangles, each rectangle will consist of exactly 4 sticks from the given set. The rectangle consists of four sides, opposite sides should have equal length...
instruction
0
82,677
23
165,354
Tags: greedy, math Correct Solution: ``` for _ in range(int(input())): n = int(input()) a = sorted(list(map(int, input().split()))) pr = a[0]*a[1]*a[-1]*a[-2] for q in range(0, n*2, 2): if a[q] != a[q+1] or a[4*n-q-1] != a[4*n-q-2] or a[q]*a[q+1]*a[4*n-q-1]*a[4*n-q-2] != pr: print('N...
output
1
82,677
23
165,355
Provide tags and a correct Python 3 solution for this coding contest problem. You are given 4n sticks, the length of the i-th stick is a_i. You have to create n rectangles, each rectangle will consist of exactly 4 sticks from the given set. The rectangle consists of four sides, opposite sides should have equal length...
instruction
0
82,678
23
165,356
Tags: greedy, math Correct Solution: ``` q = int(input()) for j in range(q): n = int(input()) sp = list(map(int, input().split())) sp.sort() sqrt = sp[4 * n - 1] * sp[0] t = True for i in range(0, 2 * n, 2): if sp.count(sp[i]) % 2 != 0 or sp.count(sp[4 * n - i - 1]) % 2 != 0: ...
output
1
82,678
23
165,357
Provide tags and a correct Python 3 solution for this coding contest problem. You are given 4n sticks, the length of the i-th stick is a_i. You have to create n rectangles, each rectangle will consist of exactly 4 sticks from the given set. The rectangle consists of four sides, opposite sides should have equal length...
instruction
0
82,679
23
165,358
Tags: greedy, math Correct Solution: ``` for _ in range(int(input())): n = int(input()) a = sorted(map(int, input().split())) p = a[0] * a[-1] for i in range(0, 4 * n, 2): if a[i] != a[i + 1] or p != a[i] * a[-i - 1]: print('NO') break else: print('YES') ```
output
1
82,679
23
165,359
Provide tags and a correct Python 3 solution for this coding contest problem. You are given 4n sticks, the length of the i-th stick is a_i. You have to create n rectangles, each rectangle will consist of exactly 4 sticks from the given set. The rectangle consists of four sides, opposite sides should have equal length...
instruction
0
82,680
23
165,360
Tags: greedy, math Correct Solution: ``` def check(n, a): a.sort() area = a[0] * a[-1] i = 0; while i < 2*n: if (a[i] != a[i+1]): return False if (a[-(i+1)] != a[-(i+2)]): return False if a[i] * a[-(i+1)] != area: return False i += 2 return True q = int(input()) for i in range(q): n ...
output
1
82,680
23
165,361
Provide tags and a correct Python 3 solution for this coding contest problem. You are given 4n sticks, the length of the i-th stick is a_i. You have to create n rectangles, each rectangle will consist of exactly 4 sticks from the given set. The rectangle consists of four sides, opposite sides should have equal length...
instruction
0
82,681
23
165,362
Tags: greedy, math Correct Solution: ``` numberOfQueries = int(input()) for _ in range(numberOfQueries): numberOfRects = int(input()) sides = list(map(int, input().split())) sides.sort() area = sides[0] * sides[4 * numberOfRects - 1] index = 0 canFormRects = True for _ in range(numberOf...
output
1
82,681
23
165,363
Provide tags and a correct Python 3 solution for this coding contest problem. You are given 4n sticks, the length of the i-th stick is a_i. You have to create n rectangles, each rectangle will consist of exactly 4 sticks from the given set. The rectangle consists of four sides, opposite sides should have equal length...
instruction
0
82,682
23
165,364
Tags: greedy, math Correct Solution: ``` q=int(input()) for _ in range(q): n=int(input()) a=list(map(int,input().split())) a.sort() base=a[0]*a[-1] for i in range(0,2*n,2): if a[i]!=a[i+1]: print("NO") break if a[-i-1]!=a[-i-2]: print("NO") ...
output
1
82,682
23
165,365
Provide tags and a correct Python 3 solution for this coding contest problem. You are given 4n sticks, the length of the i-th stick is a_i. You have to create n rectangles, each rectangle will consist of exactly 4 sticks from the given set. The rectangle consists of four sides, opposite sides should have equal length...
instruction
0
82,683
23
165,366
Tags: greedy, math Correct Solution: ``` from sys import stdout from sys import stdin def get(): return stdin.readline().strip() def getf(): return [int(i) for i in get().split()] def put(a, end = "\n"): stdout.write(str(a) + end) def putf(a, sep = " ", end = "\n"): stdout.write(sep.join([str(i) for i i...
output
1
82,683
23
165,367
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given 4n sticks, the length of the i-th stick is a_i. You have to create n rectangles, each rectangle will consist of exactly 4 sticks from the given set. The rectangle consists of four...
instruction
0
82,684
23
165,368
Yes
output
1
82,684
23
165,369
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given 4n sticks, the length of the i-th stick is a_i. You have to create n rectangles, each rectangle will consist of exactly 4 sticks from the given set. The rectangle consists of four...
instruction
0
82,685
23
165,370
Yes
output
1
82,685
23
165,371
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given 4n sticks, the length of the i-th stick is a_i. You have to create n rectangles, each rectangle will consist of exactly 4 sticks from the given set. The rectangle consists of four...
instruction
0
82,686
23
165,372
Yes
output
1
82,686
23
165,373
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given 4n sticks, the length of the i-th stick is a_i. You have to create n rectangles, each rectangle will consist of exactly 4 sticks from the given set. The rectangle consists of four...
instruction
0
82,687
23
165,374
Yes
output
1
82,687
23
165,375
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given 4n sticks, the length of the i-th stick is a_i. You have to create n rectangles, each rectangle will consist of exactly 4 sticks from the given set. The rectangle consists of four...
instruction
0
82,688
23
165,376
No
output
1
82,688
23
165,377
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given 4n sticks, the length of the i-th stick is a_i. You have to create n rectangles, each rectangle will consist of exactly 4 sticks from the given set. The rectangle consists of four...
instruction
0
82,689
23
165,378
No
output
1
82,689
23
165,379
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given 4n sticks, the length of the i-th stick is a_i. You have to create n rectangles, each rectangle will consist of exactly 4 sticks from the given set. The rectangle consists of four...
instruction
0
82,690
23
165,380
No
output
1
82,690
23
165,381
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given 4n sticks, the length of the i-th stick is a_i. You have to create n rectangles, each rectangle will consist of exactly 4 sticks from the given set. The rectangle consists of four...
instruction
0
82,691
23
165,382
No
output
1
82,691
23
165,383
Provide tags and a correct Python 3 solution for this coding contest problem. Based on a peculiar incident at basketball practice, Akari came up with the following competitive programming problem! You are given n points on the plane, no three of which are collinear. The i-th point initially has a label a_i, in such a...
instruction
0
82,816
23
165,632
Tags: constructive algorithms, geometry, sortings Correct Solution: ``` import sys,io,os try:Z=io.BytesIO(os.read(0,os.fstat(0).st_size)).readline except:Z=lambda:sys.stdin.readline().encode() from math import atan2 from collections import deque def path(R): H=deque();H.append(R) while P[R]>=0: R=P[R];H...
output
1
82,816
23
165,633
Provide tags and a correct Python 3 solution for this coding contest problem. Based on a peculiar incident at basketball practice, Akari came up with the following competitive programming problem! You are given n points on the plane, no three of which are collinear. The i-th point initially has a label a_i, in such a...
instruction
0
82,817
23
165,634
Tags: constructive algorithms, geometry, sortings Correct Solution: ``` import sys,io,os try:Z=io.BytesIO(os.read(0,os.fstat(0).st_size)).readline except:Z=lambda:sys.stdin.readline().encode() from math import atan2;from collections import deque def path(R): H=deque();H.append(R) while P[R]>=0: R=P[R];H...
output
1
82,817
23
165,635
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Based on a peculiar incident at basketball practice, Akari came up with the following competitive programming problem! You are given n points on the plane, no three of which are collinear. The ...
instruction
0
82,818
23
165,636
No
output
1
82,818
23
165,637
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is an n Γ— m rectangular grid, each cell of the grid contains a single integer: zero or one. Let's call the cell on the i-th row and the j-th column as (i, j). Let's define a "rectangle" a...
instruction
0
82,910
23
165,820
No
output
1
82,910
23
165,821
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is an n Γ— m rectangular grid, each cell of the grid contains a single integer: zero or one. Let's call the cell on the i-th row and the j-th column as (i, j). Let's define a "rectangle" a...
instruction
0
82,911
23
165,822
No
output
1
82,911
23
165,823
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n points on the plane. The polygon formed from all the n points is strictly convex, that is, the polygon is convex, and there are no three collinear points (i.e. lying in the same straight line). The points are numbered from 1 ...
instruction
0
83,392
23
166,784
Tags: dp, geometry Correct Solution: ``` n=int(input()) tl=tr=bl=br=top=bot=left=right=-200000000 for i in range(n): a,b=map(int,input().split()) top=max(top,b) bot=max(bot,-b) right=max(right,a) left=max(left,-a) tr=max(tr,a+b) tl=max(tl,b-a) br=max(br,a-b) bl=max(bl,-a-b) print(str...
output
1
83,392
23
166,785
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n points on the plane. The polygon formed from all the n points is strictly convex, that is, the polygon is convex, and there are no three collinear points (i.e. lying in the same straight line). The points are numbered from 1 ...
instruction
0
83,393
23
166,786
Tags: dp, geometry Correct Solution: ``` n = int(input()) north = -100000000 south = 100000000 east = -100000000 west = 100000000 ne = -200000000 nw = -200000000 se = -200000000 sw = -200000000 for i in range(n): x,y = map(int,input().split()) north = max(north,y) east = max(east,x) south = min(south,y)...
output
1
83,393
23
166,787
Provide tags and a correct Python 3 solution for this coding contest problem. You are given n points on the plane. The polygon formed from all the n points is strictly convex, that is, the polygon is convex, and there are no three collinear points (i.e. lying in the same straight line). The points are numbered from 1 ...
instruction
0
83,394
23
166,788
Tags: dp, geometry Correct Solution: ``` from collections import namedtuple import sys XY = namedtuple('XY', 'x y') n = int(input()) pg = [XY(*[int(w) for w in input().split()]) for _ in range(n)] minx = min(p.x for p in pg) miny = min(p.y for p in pg) maxx = max(p.x for p in pg) maxy = max(p.y for p in pg) p4 = 2 ...
output
1
83,394
23
166,789
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given n points on the plane. The polygon formed from all the n points is strictly convex, that is, the polygon is convex, and there are no three collinear points (i.e. lying in the same ...
instruction
0
83,395
23
166,790
No
output
1
83,395
23
166,791
Provide tags and a correct Python 3 solution for this coding contest problem. The Cybermen and the Daleks have long been the Doctor's main enemies. Everyone knows that both these species enjoy destroying everything they encounter. However, a little-known fact about them is that they both also love taking Turing tests!...
instruction
0
83,440
23
166,880
Tags: implementation Correct Solution: ``` def find_inside_point(points, maxx, minx, maxy, miny): # print('inside point') for x, y in points: if minx < x < maxx and miny < y < maxy: print(x, y) return def find_outside_point(points, maxx, minx, maxy, miny): # print('outside ...
output
1
83,440
23
166,881
Provide tags and a correct Python 3 solution for this coding contest problem. The Cybermen and the Daleks have long been the Doctor's main enemies. Everyone knows that both these species enjoy destroying everything they encounter. However, a little-known fact about them is that they both also love taking Turing tests!...
instruction
0
83,441
23
166,882
Tags: implementation Correct Solution: ``` N = int(input()) #N,B = [int(x) for x in arr.split(' ')] #arr = input() #A = [int(x) for x in arr.split(' ')] x_freq = {} y_freq = {} data = [] for i in range(4*N+1): arr = input() x,y = [int(x) for x in arr.split(' ')] data.append([x,y]) if x not in ...
output
1
83,441
23
166,883
Provide tags and a correct Python 3 solution for this coding contest problem. The Cybermen and the Daleks have long been the Doctor's main enemies. Everyone knows that both these species enjoy destroying everything they encounter. However, a little-known fact about them is that they both also love taking Turing tests!...
instruction
0
83,442
23
166,884
Tags: implementation Correct Solution: ``` import sys import math as m def sort(a): mid = m.ceil(len(a)/2) if len(a) == 1: return a else: al = sort(a[:mid]) ar = sort(a[mid:]) i = 0 j = 0 sa = [] c = [] while i < len(al) or j < len(ar): ...
output
1
83,442
23
166,885
Provide tags and a correct Python 3 solution for this coding contest problem. The Cybermen and the Daleks have long been the Doctor's main enemies. Everyone knows that both these species enjoy destroying everything they encounter. However, a little-known fact about them is that they both also love taking Turing tests!...
instruction
0
83,443
23
166,886
Tags: implementation Correct Solution: ``` import math n = int(input()) arr = [] for i in range(4*n + 1): arr.append(list(map(int,input().split()))) for g in range(len(arr)): xMin = math.inf xMax = -1* math.inf yMin = math.inf yMax = -1* math.inf fl = True for i in range(4*n + 1): ...
output
1
83,443
23
166,887
Provide tags and a correct Python 3 solution for this coding contest problem. The Cybermen and the Daleks have long been the Doctor's main enemies. Everyone knows that both these species enjoy destroying everything they encounter. However, a little-known fact about them is that they both also love taking Turing tests!...
instruction
0
83,444
23
166,888
Tags: implementation Correct Solution: ``` n = int(input()) arr = [] for i in range(4*n + 1): str_ = input() x, y = str_.split() arr.append((int(x), int(y))) arr.sort() n1 = 4*n+1 i = 1 while arr[i][0] == arr[i-1][0]: i += 1 if i == 1: print(str(arr[0][0]) + ' ' + str(arr[0][1])) exit() low...
output
1
83,444
23
166,889
Provide tags and a correct Python 3 solution for this coding contest problem. The Cybermen and the Daleks have long been the Doctor's main enemies. Everyone knows that both these species enjoy destroying everything they encounter. However, a little-known fact about them is that they both also love taking Turing tests!...
instruction
0
83,445
23
166,890
Tags: implementation Correct Solution: ``` # -*- coding: utf-8 -*- import sys from operator import itemgetter from fractions import gcd from math import ceil, floor from copy import deepcopy from itertools import accumulate from collections import Counter import math from functools import reduce from bisect import bise...
output
1
83,445
23
166,891
Provide tags and a correct Python 3 solution for this coding contest problem. The Cybermen and the Daleks have long been the Doctor's main enemies. Everyone knows that both these species enjoy destroying everything they encounter. However, a little-known fact about them is that they both also love taking Turing tests!...
instruction
0
83,446
23
166,892
Tags: implementation Correct Solution: ``` import io, os input = io.StringIO(os.read(0, os.fstat(0).st_size).decode()).readline ii = lambda: int(input()) mi = lambda: map(int, input().split()) li = lambda: list(mi()) n = ii() a = [li() for _ in range(4 * n + 1)] lox = min(p[0] for p in a) hix = max(p[0] for p in a) l...
output
1
83,446
23
166,893
Provide tags and a correct Python 3 solution for this coding contest problem. The Cybermen and the Daleks have long been the Doctor's main enemies. Everyone knows that both these species enjoy destroying everything they encounter. However, a little-known fact about them is that they both also love taking Turing tests!...
instruction
0
83,447
23
166,894
Tags: implementation Correct Solution: ``` #!/usr/bin/env python3 import sys import math import cProfile DEBUG = False if DEBUG: sys.stdin = open('input.txt') pr = cProfile.Profile() pr.enable() n = sys.stdin.readline() n = int(n) # Init global variables. points = [] for i in range(4 * n + 1): ...
output
1
83,447
23
166,895
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The Cybermen and the Daleks have long been the Doctor's main enemies. Everyone knows that both these species enjoy destroying everything they encounter. However, a little-known fact about them i...
instruction
0
83,448
23
166,896
Yes
output
1
83,448
23
166,897
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The Cybermen and the Daleks have long been the Doctor's main enemies. Everyone knows that both these species enjoy destroying everything they encounter. However, a little-known fact about them i...
instruction
0
83,449
23
166,898
Yes
output
1
83,449
23
166,899
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The Cybermen and the Daleks have long been the Doctor's main enemies. Everyone knows that both these species enjoy destroying everything they encounter. However, a little-known fact about them i...
instruction
0
83,450
23
166,900
Yes
output
1
83,450
23
166,901
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The Cybermen and the Daleks have long been the Doctor's main enemies. Everyone knows that both these species enjoy destroying everything they encounter. However, a little-known fact about them i...
instruction
0
83,453
23
166,906
No
output
1
83,453
23
166,907
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The Cybermen and the Daleks have long been the Doctor's main enemies. Everyone knows that both these species enjoy destroying everything they encounter. However, a little-known fact about them i...
instruction
0
83,454
23
166,908
No
output
1
83,454
23
166,909
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The Cybermen and the Daleks have long been the Doctor's main enemies. Everyone knows that both these species enjoy destroying everything they encounter. However, a little-known fact about them i...
instruction
0
83,455
23
166,910
No
output
1
83,455
23
166,911
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A binary matrix is called good if every even length square sub-matrix has an odd number of ones. Given a binary matrix a consisting of n rows and m columns, determine the minimum number of cel...
instruction
0
83,581
23
167,162
Yes
output
1
83,581
23
167,163
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A binary matrix is called good if every even length square sub-matrix has an odd number of ones. Given a binary matrix a consisting of n rows and m columns, determine the minimum number of cel...
instruction
0
83,582
23
167,164
Yes
output
1
83,582
23
167,165
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A binary matrix is called good if every even length square sub-matrix has an odd number of ones. Given a binary matrix a consisting of n rows and m columns, determine the minimum number of cel...
instruction
0
83,583
23
167,166
Yes
output
1
83,583
23
167,167
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A binary matrix is called good if every even length square sub-matrix has an odd number of ones. Given a binary matrix a consisting of n rows and m columns, determine the minimum number of cel...
instruction
0
83,584
23
167,168
Yes
output
1
83,584
23
167,169
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A binary matrix is called good if every even length square sub-matrix has an odd number of ones. Given a binary matrix a consisting of n rows and m columns, determine the minimum number of cel...
instruction
0
83,585
23
167,170
No
output
1
83,585
23
167,171
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A binary matrix is called good if every even length square sub-matrix has an odd number of ones. Given a binary matrix a consisting of n rows and m columns, determine the minimum number of cel...
instruction
0
83,586
23
167,172
No
output
1
83,586
23
167,173
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. A binary matrix is called good if every even length square sub-matrix has an odd number of ones. Given a binary matrix a consisting of n rows and m columns, determine the minimum number of cel...
instruction
0
83,587
23
167,174
No
output
1
83,587
23
167,175