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Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Pavel made a photo of his favourite stars in the sky. His camera takes a photo of all points of the sky that belong to some rectangle with sides parallel to the coordinate axes. Strictly speaki...
instruction
0
89,263
23
178,526
No
output
1
89,263
23
178,527
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Pavel made a photo of his favourite stars in the sky. His camera takes a photo of all points of the sky that belong to some rectangle with sides parallel to the coordinate axes. Strictly speaki...
instruction
0
89,264
23
178,528
No
output
1
89,264
23
178,529
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Pavel made a photo of his favourite stars in the sky. His camera takes a photo of all points of the sky that belong to some rectangle with sides parallel to the coordinate axes. Strictly speaki...
instruction
0
89,265
23
178,530
No
output
1
89,265
23
178,531
Provide tags and a correct Python 3 solution for this coding contest problem. NN is an experienced internet user and that means he spends a lot of time on the social media. Once he found the following image on the Net, which asked him to compare the sizes of inner circles: <image> It turned out that the circles are ...
instruction
0
89,300
23
178,600
Tags: binary search, geometry, math Correct Solution: ``` import math n,r=input().split() n=int(n) r=float(r) deg=math.radians(360/n) R=(math.sqrt(1-math.cos(deg))*r)/(math.sqrt(2)-math.sqrt(1-math.cos(deg))) print(R) ```
output
1
89,300
23
178,601
Provide tags and a correct Python 3 solution for this coding contest problem. NN is an experienced internet user and that means he spends a lot of time on the social media. Once he found the following image on the Net, which asked him to compare the sizes of inner circles: <image> It turned out that the circles are ...
instruction
0
89,301
23
178,602
Tags: binary search, geometry, math Correct Solution: ``` ''' Geometry & Math! ''' import math In = input().split() n = float(In[0]) r = float(In[1]) n = 360 / n; deg = n/2; deg = math.sin( deg * (math.pi/180.0)) R = (deg*r) / (1 - deg) print(R) ```
output
1
89,301
23
178,603
Provide tags and a correct Python 3 solution for this coding contest problem. NN is an experienced internet user and that means he spends a lot of time on the social media. Once he found the following image on the Net, which asked him to compare the sizes of inner circles: <image> It turned out that the circles are ...
instruction
0
89,302
23
178,604
Tags: binary search, geometry, math Correct Solution: ``` import sys from math import sin, pi readline = sys.stdin.readline N, r = map(int, readline().split()) theta = pi/N ok = 10**10 ng = 0 for _ in range(100000): med = (ok+ng)/2 if (1/sin(theta)-1)*med > r: ok = med else: ng = med print(...
output
1
89,302
23
178,605
Provide tags and a correct Python 3 solution for this coding contest problem. NN is an experienced internet user and that means he spends a lot of time on the social media. Once he found the following image on the Net, which asked him to compare the sizes of inner circles: <image> It turned out that the circles are ...
instruction
0
89,303
23
178,606
Tags: binary search, geometry, math Correct Solution: ``` import math n,r = [int(x) for x in input().split()] x = math.sin(math.pi/n) y = (x*r)/(1-x) print(y) ```
output
1
89,303
23
178,607
Provide tags and a correct Python 3 solution for this coding contest problem. NN is an experienced internet user and that means he spends a lot of time on the social media. Once he found the following image on the Net, which asked him to compare the sizes of inner circles: <image> It turned out that the circles are ...
instruction
0
89,304
23
178,608
Tags: binary search, geometry, math Correct Solution: ``` import math s=list(map(int,input().split())) n,r=s[0],s[1] pi=math.radians(180/n) x=math.sin(pi) ans=(x*r)/(1-x) print(ans) ```
output
1
89,304
23
178,609
Provide tags and a correct Python 3 solution for this coding contest problem. NN is an experienced internet user and that means he spends a lot of time on the social media. Once he found the following image on the Net, which asked him to compare the sizes of inner circles: <image> It turned out that the circles are ...
instruction
0
89,305
23
178,610
Tags: binary search, geometry, math Correct Solution: ``` from math import * n,r=map(int,input().split()) d=radians(360/(2*n)) k=sin(d) print(r*k/(1-k)) ```
output
1
89,305
23
178,611
Provide tags and a correct Python 3 solution for this coding contest problem. NN is an experienced internet user and that means he spends a lot of time on the social media. Once he found the following image on the Net, which asked him to compare the sizes of inner circles: <image> It turned out that the circles are ...
instruction
0
89,306
23
178,612
Tags: binary search, geometry, math Correct Solution: ``` import math x,y = map(int,input().split()) o = math.sin(math.pi/x) ans = y*o/(1-o) print(ans) ```
output
1
89,306
23
178,613
Provide tags and a correct Python 3 solution for this coding contest problem. NN is an experienced internet user and that means he spends a lot of time on the social media. Once he found the following image on the Net, which asked him to compare the sizes of inner circles: <image> It turned out that the circles are ...
instruction
0
89,307
23
178,614
Tags: binary search, geometry, math Correct Solution: ``` import math n, r = (int(i) for i in input().strip().split()) f = math.sin(math.radians(360/(2*n))) print(r*f/(1-f)) ```
output
1
89,307
23
178,615
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. NN is an experienced internet user and that means he spends a lot of time on the social media. Once he found the following image on the Net, which asked him to compare the sizes of inner circles...
instruction
0
89,308
23
178,616
Yes
output
1
89,308
23
178,617
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. NN is an experienced internet user and that means he spends a lot of time on the social media. Once he found the following image on the Net, which asked him to compare the sizes of inner circles...
instruction
0
89,309
23
178,618
Yes
output
1
89,309
23
178,619
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. NN is an experienced internet user and that means he spends a lot of time on the social media. Once he found the following image on the Net, which asked him to compare the sizes of inner circles...
instruction
0
89,310
23
178,620
Yes
output
1
89,310
23
178,621
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. NN is an experienced internet user and that means he spends a lot of time on the social media. Once he found the following image on the Net, which asked him to compare the sizes of inner circles...
instruction
0
89,311
23
178,622
Yes
output
1
89,311
23
178,623
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. NN is an experienced internet user and that means he spends a lot of time on the social media. Once he found the following image on the Net, which asked him to compare the sizes of inner circles...
instruction
0
89,312
23
178,624
No
output
1
89,312
23
178,625
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. NN is an experienced internet user and that means he spends a lot of time on the social media. Once he found the following image on the Net, which asked him to compare the sizes of inner circles...
instruction
0
89,313
23
178,626
No
output
1
89,313
23
178,627
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. NN is an experienced internet user and that means he spends a lot of time on the social media. Once he found the following image on the Net, which asked him to compare the sizes of inner circles...
instruction
0
89,314
23
178,628
No
output
1
89,314
23
178,629
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. NN is an experienced internet user and that means he spends a lot of time on the social media. Once he found the following image on the Net, which asked him to compare the sizes of inner circles...
instruction
0
89,315
23
178,630
No
output
1
89,315
23
178,631
Provide tags and a correct Python 3 solution for this coding contest problem. The statement of this problem is the same as the statement of problem C2. The only difference is that, in problem C1, n is always even, and in C2, n is always odd. You are given a regular polygon with 2 β‹… n vertices (it's convex and has equ...
instruction
0
89,439
23
178,878
Tags: binary search, geometry, math, ternary search Correct Solution: ``` MOD = 10 ** 9 + 7 RLIMIT = 1000 DEBUG = 1 def main(): for _ in inputt(): n, = inputi() d = 2 * pi / (n * 2) s = 0 for i in range(1, 2 * n + 1): if sin(i * d + pi / 4) > 0: s += sin...
output
1
89,439
23
178,879
Provide tags and a correct Python 3 solution for this coding contest problem. The statement of this problem is the same as the statement of problem C2. The only difference is that, in problem C1, n is always even, and in C2, n is always odd. You are given a regular polygon with 2 β‹… n vertices (it's convex and has equ...
instruction
0
89,440
23
178,880
Tags: binary search, geometry, math, ternary search Correct Solution: ``` import sys import math #sys.stdin = open('input.txt', 'r') #sys.stdout = open('output.txt', 'w') from sys import stdin, stdout for _ in range(int(stdin.readline())): n = int(stdin.readline()) print(1 / math.tan(math.pi / (2 * n))) ```
output
1
89,440
23
178,881
Provide tags and a correct Python 3 solution for this coding contest problem. The statement of this problem is the same as the statement of problem C2. The only difference is that, in problem C1, n is always even, and in C2, n is always odd. You are given a regular polygon with 2 β‹… n vertices (it's convex and has equ...
instruction
0
89,441
23
178,882
Tags: binary search, geometry, math, ternary search Correct Solution: ``` from math import radians,tan t = int(input()) for _ in range(t): n = int(input()) alpha = radians(90/n) h = 0.5/(tan(alpha)) print(2*h) ```
output
1
89,441
23
178,883
Provide tags and a correct Python 3 solution for this coding contest problem. The statement of this problem is the same as the statement of problem C2. The only difference is that, in problem C1, n is always even, and in C2, n is always odd. You are given a regular polygon with 2 β‹… n vertices (it's convex and has equ...
instruction
0
89,442
23
178,884
Tags: binary search, geometry, math, ternary search Correct Solution: ``` import sys import math pi=math.pi q=int(input()) for i in range(q): a=int(sys.stdin.readline()) if a//2%2==0: n1=a//2+1 else: n1=a//2 n2=(a-n1) rad=1/(2*math.sin(pi/(2*a))) b=pow(2*rad*rad-2*rad*rad*math.co...
output
1
89,442
23
178,885
Provide tags and a correct Python 3 solution for this coding contest problem. The statement of this problem is the same as the statement of problem C2. The only difference is that, in problem C1, n is always even, and in C2, n is always odd. You are given a regular polygon with 2 β‹… n vertices (it's convex and has equ...
instruction
0
89,443
23
178,886
Tags: binary search, geometry, math, ternary search Correct Solution: ``` from sys import stdin, stdout import math def main(): # t = 1 t = int(input()) for i in range(t): n = int(input()) n *= 2 a = 1 big_r = a / (2 * math.tan(math.pi / n)) print(big_r * 2) main(...
output
1
89,443
23
178,887
Provide tags and a correct Python 3 solution for this coding contest problem. The statement of this problem is the same as the statement of problem C2. The only difference is that, in problem C1, n is always even, and in C2, n is always odd. You are given a regular polygon with 2 β‹… n vertices (it's convex and has equ...
instruction
0
89,444
23
178,888
Tags: binary search, geometry, math, ternary search Correct Solution: ``` from math import sin, pi, sqrt test=int(input()) answer=[] for test_case in range(test): n=2*int(input()) sine=sin(pi/180* (180-360/n)/2) answer.append( str(sine/sqrt(1-sine**2)) ) print(("\n").join(answer)) ```
output
1
89,444
23
178,889
Provide tags and a correct Python 3 solution for this coding contest problem. The statement of this problem is the same as the statement of problem C2. The only difference is that, in problem C1, n is always even, and in C2, n is always odd. You are given a regular polygon with 2 β‹… n vertices (it's convex and has equ...
instruction
0
89,445
23
178,890
Tags: binary search, geometry, math, ternary search Correct Solution: ``` import math t = int(input()) for i in range(t): n = int(input()) * 2 rad = 1 / math.sqrt(2 * (1 - math.cos(2 * math.pi / n))); area = 0.5 * math.sin(2 * math.pi / n) * rad * rad h = 2 * area print(2 * h) ```
output
1
89,445
23
178,891
Provide tags and a correct Python 3 solution for this coding contest problem. The statement of this problem is the same as the statement of problem C2. The only difference is that, in problem C1, n is always even, and in C2, n is always odd. You are given a regular polygon with 2 β‹… n vertices (it's convex and has equ...
instruction
0
89,446
23
178,892
Tags: binary search, geometry, math, ternary search Correct Solution: ``` from decimal import Decimal import math for ii in range(int(input())): n = int(input()) print(1/(math.tan(math.pi/(2*n)))) ```
output
1
89,446
23
178,893
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The statement of this problem is the same as the statement of problem C2. The only difference is that, in problem C1, n is always even, and in C2, n is always odd. You are given a regular polyg...
instruction
0
89,447
23
178,894
Yes
output
1
89,447
23
178,895
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The statement of this problem is the same as the statement of problem C2. The only difference is that, in problem C1, n is always even, and in C2, n is always odd. You are given a regular polyg...
instruction
0
89,448
23
178,896
Yes
output
1
89,448
23
178,897
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The statement of this problem is the same as the statement of problem C2. The only difference is that, in problem C1, n is always even, and in C2, n is always odd. You are given a regular polyg...
instruction
0
89,449
23
178,898
Yes
output
1
89,449
23
178,899
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The statement of this problem is the same as the statement of problem C2. The only difference is that, in problem C1, n is always even, and in C2, n is always odd. You are given a regular polyg...
instruction
0
89,450
23
178,900
Yes
output
1
89,450
23
178,901
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The statement of this problem is the same as the statement of problem C2. The only difference is that, in problem C1, n is always even, and in C2, n is always odd. You are given a regular polyg...
instruction
0
89,451
23
178,902
No
output
1
89,451
23
178,903
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The statement of this problem is the same as the statement of problem C2. The only difference is that, in problem C1, n is always even, and in C2, n is always odd. You are given a regular polyg...
instruction
0
89,452
23
178,904
No
output
1
89,452
23
178,905
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The statement of this problem is the same as the statement of problem C2. The only difference is that, in problem C1, n is always even, and in C2, n is always odd. You are given a regular polyg...
instruction
0
89,453
23
178,906
No
output
1
89,453
23
178,907
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. The statement of this problem is the same as the statement of problem C2. The only difference is that, in problem C1, n is always even, and in C2, n is always odd. You are given a regular polyg...
instruction
0
89,454
23
178,908
No
output
1
89,454
23
178,909
Provide tags and a correct Python 3 solution for this coding contest problem. You are given three sticks with positive integer lengths of a, b, and c centimeters. You can increase length of some of them by some positive integer number of centimeters (different sticks can be increased by a different length), but in tot...
instruction
0
89,696
23
179,392
Tags: combinatorics, implementation, math Correct Solution: ``` def f(a,b,c,l): if a<b+c: return 0 else: c=min(l,a-b-c) return (c+1)*(c+2)/2 a,b,c,l = map(int,input().split()) z=(l+1)*(l+2)*(l+3)/6 i=0 while i<=l: z-=f(a+i,b,c,l-i)+f(b+i,c,a,l-i)+f(c+i,a,b,l-i) i+=1 print(int(z)...
output
1
89,696
23
179,393
Provide tags and a correct Python 3 solution for this coding contest problem. You are given three sticks with positive integer lengths of a, b, and c centimeters. You can increase length of some of them by some positive integer number of centimeters (different sticks can be increased by a different length), but in tot...
instruction
0
89,697
23
179,394
Tags: combinatorics, implementation, math Correct Solution: ``` a, b, c, l = map(int, input().split()) cnt = (l + 3) * (l + 2) * (l + 1) // 3 for i in (a, b, c): s = 2 * i - a - b - c for x in range(max(0, -s), l + 1): m = min(s + x, l - x) cnt -= (m + 1) * (m + 2) print(cnt // 2) ```
output
1
89,697
23
179,395
Provide tags and a correct Python 3 solution for this coding contest problem. You are given three sticks with positive integer lengths of a, b, and c centimeters. You can increase length of some of them by some positive integer number of centimeters (different sticks can be increased by a different length), but in tot...
instruction
0
89,698
23
179,396
Tags: combinatorics, implementation, math Correct Solution: ``` a, b, c, d = map(int, input().split(' ')) ans = -(d+1) * (d+2) * (d+3) // 6 for l1 in range(0, d+1): minx = min(d-l1, a-b-c+l1) if minx < 0: continue; else: ans += (minx + 1) * (minx + 2) // 2 a, b, c = b, c, a for l1 in range...
output
1
89,698
23
179,397
Provide tags and a correct Python 3 solution for this coding contest problem. You are given three sticks with positive integer lengths of a, b, and c centimeters. You can increase length of some of them by some positive integer number of centimeters (different sticks can be increased by a different length), but in tot...
instruction
0
89,699
23
179,398
Tags: combinatorics, implementation, math Correct Solution: ``` __author__ = 'nobik' def count(a, b, c, x): if (a < b + c): return 0 value = min(x, a - b - c) return (value + 1) * (value + 2) // 2 a, b, c, l = map(int, input().split()) ans = (l + 1) * (l + 2) * (l + 3) // 6 for i in range(l + 1): ...
output
1
89,699
23
179,399
Provide tags and a correct Python 3 solution for this coding contest problem. You are given three sticks with positive integer lengths of a, b, and c centimeters. You can increase length of some of them by some positive integer number of centimeters (different sticks can be increased by a different length), but in tot...
instruction
0
89,700
23
179,400
Tags: combinatorics, implementation, math Correct Solution: ``` ''' import sys sys.stdin = open("input.txt", "r") sys.stdout = open("output.txt", "w") ''' def Solve(a, b, c, l): delta = a - b - c if delta < 0: return 0 k = min(l, delta) + 1 return k * (k + 1) // 2 a, b, c, l = map(int, input().split()) ans = (l...
output
1
89,700
23
179,401
Provide tags and a correct Python 3 solution for this coding contest problem. You are given three sticks with positive integer lengths of a, b, and c centimeters. You can increase length of some of them by some positive integer number of centimeters (different sticks can be increased by a different length), but in tot...
instruction
0
89,701
23
179,402
Tags: combinatorics, implementation, math Correct Solution: ``` a, b, c, l = map(int, input().split()) ans = (l + 3) * (l + 2) * (l + 1) // 3 for z in (a, b, c): s = 2 * z - a - b - c for x in range(max(0, -s), l + 1): m = min(s + x, l - x) ans -= (m + 1) * (m + 2) print(ans // 2) ```
output
1
89,701
23
179,403
Provide tags and a correct Python 3 solution for this coding contest problem. You are given three sticks with positive integer lengths of a, b, and c centimeters. You can increase length of some of them by some positive integer number of centimeters (different sticks can be increased by a different length), but in tot...
instruction
0
89,702
23
179,404
Tags: combinatorics, implementation, math Correct Solution: ``` def solve(a, b, c): ans = 0 for da in range(max(0, b + c - a), l + 1): x = min(a - b - c + da, l - da) ans += (x + 1) * (x + 2) // 2 return ans a, b, c, l = map(int, input().split()) print((l + 1) * (l + 2) * (l + 3) // 6 - so...
output
1
89,702
23
179,405
Provide tags and a correct Python 3 solution for this coding contest problem. You are given three sticks with positive integer lengths of a, b, and c centimeters. You can increase length of some of them by some positive integer number of centimeters (different sticks can be increased by a different length), but in tot...
instruction
0
89,703
23
179,406
Tags: combinatorics, implementation, math Correct Solution: ``` p = list(map(int, input().split())) l = p.pop() n = (l + 1) * (l + 2) * (l + 3) // 6 s = sum(p) for q in p: t = 2 * q - s for d in range(l + 1): k = min(t + d, l - d) + 1 if k > 0: n -= k * k + k >> 1 print(n) ```
output
1
89,703
23
179,407
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three sticks with positive integer lengths of a, b, and c centimeters. You can increase length of some of them by some positive integer number of centimeters (different sticks can ...
instruction
0
89,704
23
179,408
Yes
output
1
89,704
23
179,409
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three sticks with positive integer lengths of a, b, and c centimeters. You can increase length of some of them by some positive integer number of centimeters (different sticks can ...
instruction
0
89,705
23
179,410
Yes
output
1
89,705
23
179,411
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three sticks with positive integer lengths of a, b, and c centimeters. You can increase length of some of them by some positive integer number of centimeters (different sticks can ...
instruction
0
89,706
23
179,412
Yes
output
1
89,706
23
179,413
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three sticks with positive integer lengths of a, b, and c centimeters. You can increase length of some of them by some positive integer number of centimeters (different sticks can ...
instruction
0
89,707
23
179,414
Yes
output
1
89,707
23
179,415
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three sticks with positive integer lengths of a, b, and c centimeters. You can increase length of some of them by some positive integer number of centimeters (different sticks can ...
instruction
0
89,708
23
179,416
No
output
1
89,708
23
179,417
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three sticks with positive integer lengths of a, b, and c centimeters. You can increase length of some of them by some positive integer number of centimeters (different sticks can ...
instruction
0
89,709
23
179,418
No
output
1
89,709
23
179,419
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given three sticks with positive integer lengths of a, b, and c centimeters. You can increase length of some of them by some positive integer number of centimeters (different sticks can ...
instruction
0
89,710
23
179,420
No
output
1
89,710
23
179,421