message stringlengths 2 39.6k | message_type stringclasses 2 values | message_id int64 0 1 | conversation_id int64 219 108k | cluster float64 11 11 | __index_level_0__ int64 438 217k |
|---|---|---|---|---|---|
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You will be given a contest schedule for D days. For each d=1,2,\ldots,D, calculate the satisfaction at the end of day d.
Input
Input is given from Standard Input in the form of the input of Problem A followed by the output of Problem A.
D
c_1 c_2 \cdots c_{26}
s_{1,1} s_{1,2} \cdots s_{1,26}
\vdots
s_{D,1} s_{D,2} \cdots s_{D,26}
t_1
t_2
\vdots
t_D
* The constraints and generation methods for the input part are the same as those for Problem A.
* For each d, t_d is an integer satisfying 1\leq t_d \leq 26, and your program is expected to work correctly for any value that meets the constraints.
Output
Let v_d be the satisfaction at the end of day d. Print D integers v_d to Standard Output in the following format:
v_1
v_2
\vdots
v_D
Output
Let v_d be the satisfaction at the end of day d. Print D integers v_d to Standard Output in the following format:
v_1
v_2
\vdots
v_D
Example
Input
5
86 90 69 51 2 96 71 47 88 34 45 46 89 34 31 38 97 84 41 80 14 4 50 83 7 82
19771 12979 18912 10432 10544 12928 13403 3047 10527 9740 8100 92 2856 14730 1396 15905 6534 4650 11469 3628 8433 2994 10899 16396 18355 11424
6674 17707 13855 16407 12232 2886 11908 1705 5000 1537 10440 10711 4917 10770 17272 15364 19277 18094 3929 3705 7169 6159 18683 15410 9092 4570
6878 4239 19925 1799 375 9563 3445 5658 19857 11401 6997 6498 19933 3848 2426 2146 19745 16880 17773 18359 3921 14172 16730 11157 5439 256
8633 15862 15303 10749 18499 7792 10317 5901 9395 11433 3514 3959 5202 19850 19469 9790 5653 784 18500 10552 17975 16615 7852 197 8471 7452
19855 17918 7990 10572 4333 438 9140 9104 12622 4985 12319 4028 19922 12132 16259 17476 2976 547 19195 19830 16285 4806 4471 9457 2864 2192
1
17
13
14
13
Output
18398
35037
51140
65837
79325
Submitted Solution:
```
def read_input():
D = int(input())
C = input().split()
C = [int(i) for i in C]
S = [list(map(int, input().split())) for _ in range(D)]
T = [int(input()) for _ in range(D)]
return D, C, S, T
def scoring(S, D, T, C):
res = []
last = [0 for _ in range(26)]
final = 0
for i in range(D):
dec = 0
last[T[i] - 1] = i
for j in range(26):
dec += C[j] * (i - last[j] + 1)
final += S[i][T[i] - 1] - dec
res.append(final)
return res
D, C, S, T = read_input()
res = scoring(S, D, T, C)
for x in res:
print(x)
``` | instruction | 0 | 54,559 | 11 | 109,118 |
No | output | 1 | 54,559 | 11 | 109,119 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You will be given a contest schedule for D days. For each d=1,2,\ldots,D, calculate the satisfaction at the end of day d.
Input
Input is given from Standard Input in the form of the input of Problem A followed by the output of Problem A.
D
c_1 c_2 \cdots c_{26}
s_{1,1} s_{1,2} \cdots s_{1,26}
\vdots
s_{D,1} s_{D,2} \cdots s_{D,26}
t_1
t_2
\vdots
t_D
* The constraints and generation methods for the input part are the same as those for Problem A.
* For each d, t_d is an integer satisfying 1\leq t_d \leq 26, and your program is expected to work correctly for any value that meets the constraints.
Output
Let v_d be the satisfaction at the end of day d. Print D integers v_d to Standard Output in the following format:
v_1
v_2
\vdots
v_D
Output
Let v_d be the satisfaction at the end of day d. Print D integers v_d to Standard Output in the following format:
v_1
v_2
\vdots
v_D
Example
Input
5
86 90 69 51 2 96 71 47 88 34 45 46 89 34 31 38 97 84 41 80 14 4 50 83 7 82
19771 12979 18912 10432 10544 12928 13403 3047 10527 9740 8100 92 2856 14730 1396 15905 6534 4650 11469 3628 8433 2994 10899 16396 18355 11424
6674 17707 13855 16407 12232 2886 11908 1705 5000 1537 10440 10711 4917 10770 17272 15364 19277 18094 3929 3705 7169 6159 18683 15410 9092 4570
6878 4239 19925 1799 375 9563 3445 5658 19857 11401 6997 6498 19933 3848 2426 2146 19745 16880 17773 18359 3921 14172 16730 11157 5439 256
8633 15862 15303 10749 18499 7792 10317 5901 9395 11433 3514 3959 5202 19850 19469 9790 5653 784 18500 10552 17975 16615 7852 197 8471 7452
19855 17918 7990 10572 4333 438 9140 9104 12622 4985 12319 4028 19922 12132 16259 17476 2976 547 19195 19830 16285 4806 4471 9457 2864 2192
1
17
13
14
13
Output
18398
35037
51140
65837
79325
Submitted Solution:
```
import numpy as np
D = int(input())
C = list(map(int, input().split()))
S = [0] * D
for i in range(D):
S[i] = list(map(int, input().split()))
T = [int(input()) for i in range(D)]
#print(T)
manzoku = [S[i][T[i]-1] for i in range(D)]
#print(manzoku)
teika = [C[T[i]] for i in range(D)]
teika_s = [sum(teika[:i]) for i in range(D)]
manzoku_np = np.array(manzoku)
teika_np = np.array(teika_s)
total = manzoku_np - teika_np
#print(total)
for num in total:
print(num)
``` | instruction | 0 | 54,560 | 11 | 109,120 |
No | output | 1 | 54,560 | 11 | 109,121 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are participating in a quiz with N + M questions and Yes/No answers.
It's known in advance that there are N questions with answer Yes and M questions with answer No, but the questions are given to you in random order.
You have no idea about correct answers to any of the questions. You answer questions one by one, and for each question you answer, you get to know the correct answer immediately after answering.
Suppose you follow a strategy maximizing the expected number of correct answers you give.
Let this expected number be P/Q, an irreducible fraction. Let M = 998244353. It can be proven that a unique integer R between 0 and M - 1 exists such that P = Q \times R modulo M, and it is equal to P \times Q^{-1} modulo M, where Q^{-1} is the modular inverse of Q. Find R.
Constraints
* 1 \leq N, M \leq 500,000
* Both N and M are integers.
Input
Input is given from Standard Input in the following format:
N M
Output
Let P/Q be the expected number of correct answers you give if you follow an optimal strategy, represented as an irreducible fraction. Print P \times Q^{-1} modulo 998244353.
Examples
Input
1 1
Output
499122178
Input
2 2
Output
831870297
Input
3 4
Output
770074220
Input
10 10
Output
208827570
Input
42 23
Output
362936761
Submitted Solution:
```
import sys
from fractions import Fraction
import json
sys.setrecursionlimit(500000)
memo = {}
mod = 998244353
def e(m, n):
if m < n:
m, n = n, m
if (m,n) in memo:
return memo[(m,n)]
if m == 0:
return n
if n == 0:
return m
if m == n:
memo[(m,n)] = e(m-1, n)+Fraction(1,2)
else:
memo[(m,n)] = (e(m-1, n)+1)*Fraction(m,m+n)+e(m, n-1)*Fraction(n, m+n)
return memo[(m,n)]
def main():
n, m = list(map(int, input().split()))
res = e(n, m)
p = res.numerator
q = res.denominator
print((p*pow(q, mod-2, mod))%mod)
if __name__ == '__main__':
main()
``` | instruction | 0 | 54,650 | 11 | 109,300 |
No | output | 1 | 54,650 | 11 | 109,301 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are participating in a quiz with N + M questions and Yes/No answers.
It's known in advance that there are N questions with answer Yes and M questions with answer No, but the questions are given to you in random order.
You have no idea about correct answers to any of the questions. You answer questions one by one, and for each question you answer, you get to know the correct answer immediately after answering.
Suppose you follow a strategy maximizing the expected number of correct answers you give.
Let this expected number be P/Q, an irreducible fraction. Let M = 998244353. It can be proven that a unique integer R between 0 and M - 1 exists such that P = Q \times R modulo M, and it is equal to P \times Q^{-1} modulo M, where Q^{-1} is the modular inverse of Q. Find R.
Constraints
* 1 \leq N, M \leq 500,000
* Both N and M are integers.
Input
Input is given from Standard Input in the following format:
N M
Output
Let P/Q be the expected number of correct answers you give if you follow an optimal strategy, represented as an irreducible fraction. Print P \times Q^{-1} modulo 998244353.
Examples
Input
1 1
Output
499122178
Input
2 2
Output
831870297
Input
3 4
Output
770074220
Input
10 10
Output
208827570
Input
42 23
Output
362936761
Submitted Solution:
```
from fractions import *
def E(n,m):
if not m:return Fraction(n,1)
if(n<m):return E(m,n)
return Fraction(n*E(n-1,m)+m*E(n,m-1)+max(n,m),n+m)
def sqr_mod(a,m):return a*a%m
def pow_mod(a,n,m):
if not n:return 1
if n%2:return sqr_mod(pow_mod(a,n>>1,m),m)*a%m
return sqr_mod(pow_mod(a,n>>1,m),m)
n,m=map(int,input().split())
x,mod=E(n,m),998244353
print(x.numerator*pow_mod(x.denominator,mod-2,mod)%mod)
``` | instruction | 0 | 54,651 | 11 | 109,302 |
No | output | 1 | 54,651 | 11 | 109,303 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are participating in a quiz with N + M questions and Yes/No answers.
It's known in advance that there are N questions with answer Yes and M questions with answer No, but the questions are given to you in random order.
You have no idea about correct answers to any of the questions. You answer questions one by one, and for each question you answer, you get to know the correct answer immediately after answering.
Suppose you follow a strategy maximizing the expected number of correct answers you give.
Let this expected number be P/Q, an irreducible fraction. Let M = 998244353. It can be proven that a unique integer R between 0 and M - 1 exists such that P = Q \times R modulo M, and it is equal to P \times Q^{-1} modulo M, where Q^{-1} is the modular inverse of Q. Find R.
Constraints
* 1 \leq N, M \leq 500,000
* Both N and M are integers.
Input
Input is given from Standard Input in the following format:
N M
Output
Let P/Q be the expected number of correct answers you give if you follow an optimal strategy, represented as an irreducible fraction. Print P \times Q^{-1} modulo 998244353.
Examples
Input
1 1
Output
499122178
Input
2 2
Output
831870297
Input
3 4
Output
770074220
Input
10 10
Output
208827570
Input
42 23
Output
362936761
Submitted Solution:
```
import math
import sys
from functools import lru_cache
sys.setrecursionlimit(1000000)
@lru_cache(maxsize=1000)
def ans(a,b,p,q,wa):
if p<q:
p,q=q,p
if q==0:
return a*(wa+p)*pow(b,-1,mod)%mod
else:
return (ans(a*p%mod,b*(p+q)%mod,p-1,q,wa+1)+ans(a*q%mod,b*(p+q)%mod,p,q-1,wa))%mod
mod=998244353
N,M=map(int,input().split())
print(ans(1,1,N,M,0))
``` | instruction | 0 | 54,652 | 11 | 109,304 |
No | output | 1 | 54,652 | 11 | 109,305 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You are participating in a quiz with N + M questions and Yes/No answers.
It's known in advance that there are N questions with answer Yes and M questions with answer No, but the questions are given to you in random order.
You have no idea about correct answers to any of the questions. You answer questions one by one, and for each question you answer, you get to know the correct answer immediately after answering.
Suppose you follow a strategy maximizing the expected number of correct answers you give.
Let this expected number be P/Q, an irreducible fraction. Let M = 998244353. It can be proven that a unique integer R between 0 and M - 1 exists such that P = Q \times R modulo M, and it is equal to P \times Q^{-1} modulo M, where Q^{-1} is the modular inverse of Q. Find R.
Constraints
* 1 \leq N, M \leq 500,000
* Both N and M are integers.
Input
Input is given from Standard Input in the following format:
N M
Output
Let P/Q be the expected number of correct answers you give if you follow an optimal strategy, represented as an irreducible fraction. Print P \times Q^{-1} modulo 998244353.
Examples
Input
1 1
Output
499122178
Input
2 2
Output
831870297
Input
3 4
Output
770074220
Input
10 10
Output
208827570
Input
42 23
Output
362936761
Submitted Solution:
```
import math
import sys
from functools import lru_cache
mod=998244353
sys.setrecursionlimit(1000000)
@lru_cache(maxsize=1000000)
def ans(p,q,wa):
if p<q:
p,q=q,p
if q==0:
return wa+p
else:
return (ans(p-1,q,wa+1)+ans(p,q-1,wa))%mod
def cmb(n, r, mod):
if ( r<0 or r>n ):
return 0
r = min(r, n-r)
return g1[n] * g2[r] * g2[n-r] % mod
N,M=map(int,input().split())
p = N+M
g1 = [1, 1] # ๅ
ใใผใใซ
g2 = [1, 1] #้ๅ
ใใผใใซ
inverse = [0, 1] #้ๅ
ใใผใใซ่จ็ฎ็จใใผใใซ
for i in range( 2, p + 1 ):
g1.append( ( g1[-1] * i ) % mod )
inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
g2.append( (g2[-1] * inverse[-1]) % mod )
a=cmb(N+M,M,mod)
print(ans(N,M,0)*pow(a,-1,mod)%mod)
``` | instruction | 0 | 54,653 | 11 | 109,306 |
No | output | 1 | 54,653 | 11 | 109,307 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Using the given four integers from 1 to 9, we create an expression that gives an answer of 10. When you enter four integers a, b, c, d, write a program that outputs an expression that gives an answer of 10 according to the following conditions. Also, if there are multiple answers, only the first answer found will be output. If there is no answer, output 0.
* Use only addition (+), subtraction (-), and multiplication (*) as operators. Do not use division (/). You can use three operators.
* You must use all four numbers.
* You can freely change the order of the four numbers.
* You can use parentheses. You can use up to 3 sets (6) of parentheses.
Input
Given multiple datasets. The format of each dataset is as follows:
a b c d
Input ends with four 0s. The number of datasets does not exceed 40.
Output
For each dataset, combine the given four integers with the above arithmetic symbols and parentheses to output an expression or 0 with a value of 10 on one line. The expression string must not exceed 1024 characters.
Example
Input
8 7 9 9
4 4 4 4
5 5 7 5
0 0 0 0
Output
((9 * (9 - 7)) - 8)
0
((7 * 5) - (5 * 5))
Submitted Solution:
```
import itertools
def calc(n):
for op in itertools.product(operators, repeat=3):
for form in forms:
formula = form.format(op[0], op[1], op[2], n[0], n[1], n[2], n[3])
if eval(formula) == 10:
print(formula)
return True
return False
operators = ("+", "-", "*")
forms = (
"(({3}{0}{4}){1}{5}){2}{6}",
"({3}{0}{4}){1}({5}{2}{6})",
"({3}{0}({4}{1}{5})){2}{6}",
"{3}{0}(({4}{1}{5}){2}{6})",
"{3}{0}({4}{1}({5}{2}{6}))",
)
while (True):
nums = tuple(map(int, input().split()))
if nums == (0,0,0,0):
break
for n in itertools.permutations(nums):
if calc(n):
break
else:
print(0)
``` | instruction | 0 | 54,694 | 11 | 109,388 |
Yes | output | 1 | 54,694 | 11 | 109,389 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Using the given four integers from 1 to 9, we create an expression that gives an answer of 10. When you enter four integers a, b, c, d, write a program that outputs an expression that gives an answer of 10 according to the following conditions. Also, if there are multiple answers, only the first answer found will be output. If there is no answer, output 0.
* Use only addition (+), subtraction (-), and multiplication (*) as operators. Do not use division (/). You can use three operators.
* You must use all four numbers.
* You can freely change the order of the four numbers.
* You can use parentheses. You can use up to 3 sets (6) of parentheses.
Input
Given multiple datasets. The format of each dataset is as follows:
a b c d
Input ends with four 0s. The number of datasets does not exceed 40.
Output
For each dataset, combine the given four integers with the above arithmetic symbols and parentheses to output an expression or 0 with a value of 10 on one line. The expression string must not exceed 1024 characters.
Example
Input
8 7 9 9
4 4 4 4
5 5 7 5
0 0 0 0
Output
((9 * (9 - 7)) - 8)
0
((7 * 5) - (5 * 5))
Submitted Solution:
```
import itertools,sys
def f(s):
for a,b,c,d in itertools.permutations(s):
for x,y,z in itertools.product('+-*',repeat=3):
yield f"({a} {x} {b}) {y} ({c} {z} {d})"
yield f"(({a} {x} {b}) {y} {c}) {z} {d}"
yield f"{a} {x} ({b} {y} ({c} {z} {d}))"
yield f"({a} {x} ({b} {y} {c})) {z} {d}"
yield f"{a} {x} (({b} {y} {c}) {z} {d})"
for e in sys.stdin:
s=list(map(int,e.split()));a=0
for m in f(s):
if eval(m)==10:a='('+m+')';break
print(a)
``` | instruction | 0 | 54,700 | 11 | 109,400 |
No | output | 1 | 54,700 | 11 | 109,401 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
The marmots need to prepare k problems for HC2 over n days. Each problem, once prepared, also has to be printed.
The preparation of a problem on day i (at most one per day) costs ai CHF, and the printing of a problem on day i (also at most one per day) costs bi CHF. Of course, a problem cannot be printed before it has been prepared (but doing both on the same day is fine).
What is the minimum cost of preparation and printing?
Input
The first line of input contains two space-separated integers n and k (1 โค k โค n โค 2200). The second line contains n space-separated integers a1, ..., an (<image>) โ the preparation costs. The third line contains n space-separated integers b1, ..., bn (<image>) โ the printing costs.
Output
Output the minimum cost of preparation and printing k problems โ that is, the minimum possible sum ai1 + ai2 + ... + aik + bj1 + bj2 + ... + bjk, where 1 โค i1 < i2 < ... < ik โค n, 1 โค j1 < j2 < ... < jk โค n and i1 โค j1, i2 โค j2, ..., ik โค jk.
Example
Input
8 4
3 8 7 9 9 4 6 8
2 5 9 4 3 8 9 1
Output
32
Note
In the sample testcase, one optimum solution is to prepare the first problem on day 1 and print it on day 1, prepare the second problem on day 2 and print it on day 4, prepare the third problem on day 3 and print it on day 5, and prepare the fourth problem on day 6 and print it on day 8.
Submitted Solution:
```
from itertools import count
from collections import deque
from heapq import heappop, heappush
class Edge(object):
__slots__ = ('x', 'y', 'cap', 'cost', 'inv')
def __repr__(self):
return f'{self.x}-->{self.y} ({self.cap} , {self.cost})'
class MCFP(list):
inf = float('inf')
def add(G, x, y, cap, cost):
G.extend(([] for i in range(max(0,max(x,y)+1-len(G)))))
e = Edge()
e.x=x ; e.y=y; e.cap=cap; e.cost=cost
z = Edge()
z.x=y ; z.y=x; z.cap=0; z.cost=-cost
e.inv=z ; z.inv=e
G[x].append(e)
G[y].append(z)
def solve(G, src, tgt, flowStop=float('inf')):
n = len(G)
flowVal = flowCost = 0
phi, prev, dist = [0]*n, [None]*n, [G.inf]*n
for it in count():
G.shortest(src, phi, prev, dist, tgt)
if prev[tgt]==None:
break
p = list(G.backward(tgt, src, prev))
z = min(e.cap for e in p)
for e in p: e.cap -= z ; e.inv.cap += z
flowVal += z
flowCost += z * (dist[tgt] - phi[src] + phi[tgt])
if flowVal==flowStop: break
for i in range(n):
if prev[i] != None:
phi[i] += dist[i]
dist[i] = G.inf
#print(it)
return flowVal, flowCost
def backward(G, x, src, prev):
while x!=src: e = prev[x] ; yield e ; x = e.x
def shortest_(G, src, phi, prev, dist, tgt):
prev[tgt] = None
dist[src] = 0
Q = [(dist[src], src)]
k = 0
while Q:
k += 1
d, x = heappop(Q)
if dist[x]!=d: continue
for e in G[x]:
if e.cap <= 0: continue
dy = dist[x] + phi[x] + e.cost - phi[e.y]
if dy < dist[e.y]:
dist[e.y] = dy
prev[e.y] = e
heappush(Q, (dy, e.y))
print(k)
return
def shortest(G, src, phi, prev, dist, tgt):
prev[tgt] = None
dist[src] = 0
Q = deque([src])
inQ = [0]*len(G)
sumQ = 0
while Q:
x = Q.popleft()
inQ[x] = 0
sumQ -= dist[x]
for e in G[x]:
if e.cap <= 0: continue
dy = dist[x] + phi[x] + e.cost - phi[e.y]
if dy < dist[e.y]:
dist[e.y] = dy
prev[e.y] = e
if inQ[e.y]==0:
inQ[e.y]=1
sumQ += dy
if Q and dy > dist[Q[0]]: Q.append(e.y)
else: Q.appendleft(e.y)
avg = sumQ/len(Q)
while dist[Q[0]] > avg: Q.append(Q.popleft())
return
def shortest_(G, src, phi, prev, dist, tgt):
prev[tgt] = None
dist[src] = 0
H = [(0, src)]
inQ = [0]*len(G)
k = 0
while H:
k += 1
d, x = heappop(H)
if dist[x]!=d: continue
for e in G[x]:
if e.cap <= 0: continue
dy = dist[x] + phi[x] + e.cost - phi[e.y]
if dy < dist[e.y]:
dist[e.y] = dy
prev[e.y] = e
heappush(H, (dy, e.y))
print(k)
return
import sys, random
ints = (int(x) for x in sys.stdin.read().split())
sys.setrecursionlimit(3000)
def main():
n, k = (next(ints) for i in range(2))
a = [next(ints) for i in range(n)]
b = [next(ints) for i in range(n)]
G = MCFP()
src, tgt, the_src = 2*n+1, 2*n+2, 2*n+3
G.add(the_src, src, k, 0)
for i in range(n):
G.add(src, i, 1, 0)
G.add(i, i+n, 1, a[i])
G.add(i+n, tgt, 1, b[i])
if i+1<n:
G.add(i, i+1, n, 0)
G.add(i+n, i+n+1, n, 0)
flowVal, ans = G.solve(the_src, tgt, k)
assert flowVal == k
print(ans)
return
def test(n,k):
R = random.Random(0)
yield n ; yield k
for i in range(n): yield R.randint(1, 10**9)
for i in range(n): yield R.randint(1, 10**9)
ints=test(1000, 800)
main()
``` | instruction | 0 | 56,105 | 11 | 112,210 |
No | output | 1 | 56,105 | 11 | 112,211 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There was once young lass called Mary,
Whose jokes were occasionally scary.
On this April's Fool
Fixed limerick rules
Allowed her to trip the unwary.
Can she fill all the lines
To work at all times?
On juggling the words
Right around two-thirds
She nearly ran out of rhymes.
Input
The input contains a single integer a (4 โค a โค 998). Not every integer in the range is a valid input for the problem; you are guaranteed that the input will be a valid integer.
Output
Output a single number.
Examples
Input
35
Output
57
Input
57
Output
319
Input
391
Output
1723
Submitted Solution:
```
n = int(input())
i = 2
while (n%i != 0):
i += 1
print(i, n//i, sep='')
``` | instruction | 0 | 56,532 | 11 | 113,064 |
Yes | output | 1 | 56,532 | 11 | 113,065 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There was once young lass called Mary,
Whose jokes were occasionally scary.
On this April's Fool
Fixed limerick rules
Allowed her to trip the unwary.
Can she fill all the lines
To work at all times?
On juggling the words
Right around two-thirds
She nearly ran out of rhymes.
Input
The input contains a single integer a (4 โค a โค 998). Not every integer in the range is a valid input for the problem; you are guaranteed that the input will be a valid integer.
Output
Output a single number.
Examples
Input
35
Output
57
Input
57
Output
319
Input
391
Output
1723
Submitted Solution:
```
n = int(input())
for i in range(2,n):
if not n%i:
print("{}{}".format(i,n//i))
break
``` | instruction | 0 | 56,534 | 11 | 113,068 |
Yes | output | 1 | 56,534 | 11 | 113,069 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There was once young lass called Mary,
Whose jokes were occasionally scary.
On this April's Fool
Fixed limerick rules
Allowed her to trip the unwary.
Can she fill all the lines
To work at all times?
On juggling the words
Right around two-thirds
She nearly ran out of rhymes.
Input
The input contains a single integer a (4 โค a โค 998). Not every integer in the range is a valid input for the problem; you are guaranteed that the input will be a valid integer.
Output
Output a single number.
Examples
Input
35
Output
57
Input
57
Output
319
Input
391
Output
1723
Submitted Solution:
```
n = int(input())
l = []
for i in range(2,n):
if n%i == 0:
print(str(i)+str(n//i))
break
``` | instruction | 0 | 56,535 | 11 | 113,070 |
Yes | output | 1 | 56,535 | 11 | 113,071 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There was once young lass called Mary,
Whose jokes were occasionally scary.
On this April's Fool
Fixed limerick rules
Allowed her to trip the unwary.
Can she fill all the lines
To work at all times?
On juggling the words
Right around two-thirds
She nearly ran out of rhymes.
Input
The input contains a single integer a (4 โค a โค 998). Not every integer in the range is a valid input for the problem; you are guaranteed that the input will be a valid integer.
Output
Output a single number.
Examples
Input
35
Output
57
Input
57
Output
319
Input
391
Output
1723
Submitted Solution:
```
n=int(input())
flag=0
for i in range(1,9+1):
for j in range(1,1000):
if i*j==n:
print(str(i)+str(j))
flag=1
break
if flag==1:
break
``` | instruction | 0 | 56,536 | 11 | 113,072 |
No | output | 1 | 56,536 | 11 | 113,073 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There was once young lass called Mary,
Whose jokes were occasionally scary.
On this April's Fool
Fixed limerick rules
Allowed her to trip the unwary.
Can she fill all the lines
To work at all times?
On juggling the words
Right around two-thirds
She nearly ran out of rhymes.
Input
The input contains a single integer a (4 โค a โค 998). Not every integer in the range is a valid input for the problem; you are guaranteed that the input will be a valid integer.
Output
Output a single number.
Examples
Input
35
Output
57
Input
57
Output
319
Input
391
Output
1723
Submitted Solution:
```
print(1723)
``` | instruction | 0 | 56,537 | 11 | 113,074 |
No | output | 1 | 56,537 | 11 | 113,075 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There was once young lass called Mary,
Whose jokes were occasionally scary.
On this April's Fool
Fixed limerick rules
Allowed her to trip the unwary.
Can she fill all the lines
To work at all times?
On juggling the words
Right around two-thirds
She nearly ran out of rhymes.
Input
The input contains a single integer a (4 โค a โค 998). Not every integer in the range is a valid input for the problem; you are guaranteed that the input will be a valid integer.
Output
Output a single number.
Examples
Input
35
Output
57
Input
57
Output
319
Input
391
Output
1723
Submitted Solution:
```
a = int(input())
for i in range(2, a):
if a % i == 0: print(i, end = "")
``` | instruction | 0 | 56,538 | 11 | 113,076 |
No | output | 1 | 56,538 | 11 | 113,077 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
There was once young lass called Mary,
Whose jokes were occasionally scary.
On this April's Fool
Fixed limerick rules
Allowed her to trip the unwary.
Can she fill all the lines
To work at all times?
On juggling the words
Right around two-thirds
She nearly ran out of rhymes.
Input
The input contains a single integer a (4 โค a โค 998). Not every integer in the range is a valid input for the problem; you are guaranteed that the input will be a valid integer.
Output
Output a single number.
Examples
Input
35
Output
57
Input
57
Output
319
Input
391
Output
1723
Submitted Solution:
```
i=input()
print("33")
``` | instruction | 0 | 56,539 | 11 | 113,078 |
No | output | 1 | 56,539 | 11 | 113,079 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Natalia Romanova is trying to test something on the new gun S.H.I.E.L.D gave her. In order to determine the result of the test, she needs to find the number of answers to a certain equation. The equation is of form:
<image>
Where <image> represents logical OR and <image> represents logical exclusive OR (XOR), and vi, j are some boolean variables or their negations. Natalia calls the left side of the equation a XNF formula. Each statement in brackets is called a clause, and vi, j are called literals.
In the equation Natalia has, the left side is actually a 2-XNF-2 containing variables x1, x2, ..., xm and their negations. An XNF formula is 2-XNF-2 if:
1. For each 1 โค i โค n, ki โค 2, i.e. the size of each clause doesn't exceed two.
2. Each variable occurs in the formula at most two times (with negation and without negation in total). Please note that it's possible that a variable occurs twice but its negation doesn't occur in any clause (or vice versa).
Natalia is given a formula of m variables, consisting of n clauses. Please, make sure to check the samples in order to properly understand how the formula looks like.
Natalia is more into fight than theory, so she asked you to tell her the number of answers to this equation. More precisely, you need to find the number of ways to set x1, ..., xm with true and false (out of total of 2m ways) so that the equation is satisfied. Since this number can be extremely large, you need to print the answer modulo 109 + 7.
Please, note that some variable may appear twice in one clause, or not appear in the equation at all (but still, setting it to false or true gives different ways to set variables).
Input
The first line of input contains two integers n and m (1 โค n, m โค 100 000) โ the number of clauses and the number of variables respectively.
The next n lines contain the formula. The i-th of them starts with an integer ki โ the number of literals in the i-th clause. It is followed by ki non-zero integers ai, 1, ..., ai, ki. If ai, j > 0 then vi, j is xai, j otherwise it's negation of x - ai, j (1 โค ki โค 2, - m โค ai, j โค m, ai, j โ 0).
Output
Print the answer modulo 1 000 000 007 (109 + 7) in one line.
Examples
Input
6 7
2 4 -2
2 6 3
2 -7 1
2 -5 1
2 3 6
2 -2 -5
Output
48
Input
8 10
1 -5
2 4 -6
2 -2 -6
2 -7 9
2 10 -1
2 3 -1
2 -8 9
2 5 8
Output
544
Input
2 3
2 1 1
2 -3 3
Output
4
Note
The equation in the first sample is:
<image>
The equation in the second sample is:
<image>
The equation in the third sample is:
<image>
Submitted Solution:
```
#ๅฅฝ้พ๏ผๅunrated,ๆ่ฆๅปๅท็นๅคด็พๅปไบ
print("Goodbye,codeforces!")
``` | instruction | 0 | 56,783 | 11 | 113,566 |
No | output | 1 | 56,783 | 11 | 113,567 |
Provide a correct Python 3 solution for this coding contest problem.
You have final scores of an examination for n students. Calculate standard deviation of the scores s1, s2 ... sn.
The variance ฮฑ2 is defined by
ฮฑ2 = (โni=1(si - m)2)/n
where m is an average of si. The standard deviation of the scores is the square root of their variance.
Constraints
* n โค 1000
* 0 โค si โค 100
Input
The input consists of multiple datasets. Each dataset is given in the following format:
n
s1 s2 ... sn
The input ends with single zero for n.
Output
For each dataset, print the standard deviation in a line. The output should not contain an absolute error greater than 10-4.
Example
Input
5
70 80 100 90 20
3
80 80 80
0
Output
27.85677655
0.00000000 | instruction | 0 | 57,139 | 11 | 114,278 |
"Correct Solution:
```
from statistics import pstdev
while 1:
n = int(input())
if n == 0:break
s = list(map(float, input().split()))
print(pstdev(s))
``` | output | 1 | 57,139 | 11 | 114,279 |
Provide a correct Python 3 solution for this coding contest problem.
You have final scores of an examination for n students. Calculate standard deviation of the scores s1, s2 ... sn.
The variance ฮฑ2 is defined by
ฮฑ2 = (โni=1(si - m)2)/n
where m is an average of si. The standard deviation of the scores is the square root of their variance.
Constraints
* n โค 1000
* 0 โค si โค 100
Input
The input consists of multiple datasets. Each dataset is given in the following format:
n
s1 s2 ... sn
The input ends with single zero for n.
Output
For each dataset, print the standard deviation in a line. The output should not contain an absolute error greater than 10-4.
Example
Input
5
70 80 100 90 20
3
80 80 80
0
Output
27.85677655
0.00000000 | instruction | 0 | 57,140 | 11 | 114,280 |
"Correct Solution:
```
while True:
n = int(input())
if n == 0:
break
scores = list(map(int, input().split()))
mean = sum(scores) / n
print((sum([(score-mean) ** 2 for score in scores]) / n) ** 0.5)
``` | output | 1 | 57,140 | 11 | 114,281 |
Provide a correct Python 3 solution for this coding contest problem.
You have final scores of an examination for n students. Calculate standard deviation of the scores s1, s2 ... sn.
The variance ฮฑ2 is defined by
ฮฑ2 = (โni=1(si - m)2)/n
where m is an average of si. The standard deviation of the scores is the square root of their variance.
Constraints
* n โค 1000
* 0 โค si โค 100
Input
The input consists of multiple datasets. Each dataset is given in the following format:
n
s1 s2 ... sn
The input ends with single zero for n.
Output
For each dataset, print the standard deviation in a line. The output should not contain an absolute error greater than 10-4.
Example
Input
5
70 80 100 90 20
3
80 80 80
0
Output
27.85677655
0.00000000 | instruction | 0 | 57,141 | 11 | 114,282 |
"Correct Solution:
```
while 1:
n=int(input())
if n==0: break
s=[int(i) for i in input().split()]
m=sum(s)/n
a=(sum([(i-m)**2 for i in s])/n)**0.5
print(a)
``` | output | 1 | 57,141 | 11 | 114,283 |
Provide a correct Python 3 solution for this coding contest problem.
You have final scores of an examination for n students. Calculate standard deviation of the scores s1, s2 ... sn.
The variance ฮฑ2 is defined by
ฮฑ2 = (โni=1(si - m)2)/n
where m is an average of si. The standard deviation of the scores is the square root of their variance.
Constraints
* n โค 1000
* 0 โค si โค 100
Input
The input consists of multiple datasets. Each dataset is given in the following format:
n
s1 s2 ... sn
The input ends with single zero for n.
Output
For each dataset, print the standard deviation in a line. The output should not contain an absolute error greater than 10-4.
Example
Input
5
70 80 100 90 20
3
80 80 80
0
Output
27.85677655
0.00000000 | instruction | 0 | 57,142 | 11 | 114,284 |
"Correct Solution:
```
import statistics
ans = []
while True:
n = int(input())
if n == 0:
break
data = list(map(int, input().split()))
v = statistics.pstdev(data)
ans.append(v)
for a in ans:
print(a)
``` | output | 1 | 57,142 | 11 | 114,285 |
Provide a correct Python 3 solution for this coding contest problem.
You have final scores of an examination for n students. Calculate standard deviation of the scores s1, s2 ... sn.
The variance ฮฑ2 is defined by
ฮฑ2 = (โni=1(si - m)2)/n
where m is an average of si. The standard deviation of the scores is the square root of their variance.
Constraints
* n โค 1000
* 0 โค si โค 100
Input
The input consists of multiple datasets. Each dataset is given in the following format:
n
s1 s2 ... sn
The input ends with single zero for n.
Output
For each dataset, print the standard deviation in a line. The output should not contain an absolute error greater than 10-4.
Example
Input
5
70 80 100 90 20
3
80 80 80
0
Output
27.85677655
0.00000000 | instruction | 0 | 57,143 | 11 | 114,286 |
"Correct Solution:
```
import math
while True:
n = int(input())
if n == 0: break
s = list(map(int,input().split()))
m = sum(s)/len(s)
a = math.sqrt(sum((i-m)**2 for i in s)/len(s))
print(format(a,'.8f'))
``` | output | 1 | 57,143 | 11 | 114,287 |
Provide a correct Python 3 solution for this coding contest problem.
You have final scores of an examination for n students. Calculate standard deviation of the scores s1, s2 ... sn.
The variance ฮฑ2 is defined by
ฮฑ2 = (โni=1(si - m)2)/n
where m is an average of si. The standard deviation of the scores is the square root of their variance.
Constraints
* n โค 1000
* 0 โค si โค 100
Input
The input consists of multiple datasets. Each dataset is given in the following format:
n
s1 s2 ... sn
The input ends with single zero for n.
Output
For each dataset, print the standard deviation in a line. The output should not contain an absolute error greater than 10-4.
Example
Input
5
70 80 100 90 20
3
80 80 80
0
Output
27.85677655
0.00000000 | instruction | 0 | 57,144 | 11 | 114,288 |
"Correct Solution:
```
import math
while True:
n = int(input())
if n==0:
break
data = list(map(int, input().split()))
m = sum(data)/n
print("{:.10f}".format(math.sqrt(sum(((x-m)**2 for x in data))/n)))
``` | output | 1 | 57,144 | 11 | 114,289 |
Provide a correct Python 3 solution for this coding contest problem.
You have final scores of an examination for n students. Calculate standard deviation of the scores s1, s2 ... sn.
The variance ฮฑ2 is defined by
ฮฑ2 = (โni=1(si - m)2)/n
where m is an average of si. The standard deviation of the scores is the square root of their variance.
Constraints
* n โค 1000
* 0 โค si โค 100
Input
The input consists of multiple datasets. Each dataset is given in the following format:
n
s1 s2 ... sn
The input ends with single zero for n.
Output
For each dataset, print the standard deviation in a line. The output should not contain an absolute error greater than 10-4.
Example
Input
5
70 80 100 90 20
3
80 80 80
0
Output
27.85677655
0.00000000 | instruction | 0 | 57,145 | 11 | 114,290 |
"Correct Solution:
```
from statistics import pstdev
while input()!="0":
lst=map(int,input().split())
print(pstdev(lst))
``` | output | 1 | 57,145 | 11 | 114,291 |
Provide a correct Python 3 solution for this coding contest problem.
You have final scores of an examination for n students. Calculate standard deviation of the scores s1, s2 ... sn.
The variance ฮฑ2 is defined by
ฮฑ2 = (โni=1(si - m)2)/n
where m is an average of si. The standard deviation of the scores is the square root of their variance.
Constraints
* n โค 1000
* 0 โค si โค 100
Input
The input consists of multiple datasets. Each dataset is given in the following format:
n
s1 s2 ... sn
The input ends with single zero for n.
Output
For each dataset, print the standard deviation in a line. The output should not contain an absolute error greater than 10-4.
Example
Input
5
70 80 100 90 20
3
80 80 80
0
Output
27.85677655
0.00000000 | instruction | 0 | 57,146 | 11 | 114,292 |
"Correct Solution:
```
while 1 :
n=int(input())
if n==0 : break
lst=list(map(int,input().split()))
ave=sum(lst)/n
sigma=sum([(x-ave)**2 for x in lst])/n
print(sigma**0.5)
``` | output | 1 | 57,146 | 11 | 114,293 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have final scores of an examination for n students. Calculate standard deviation of the scores s1, s2 ... sn.
The variance ฮฑ2 is defined by
ฮฑ2 = (โni=1(si - m)2)/n
where m is an average of si. The standard deviation of the scores is the square root of their variance.
Constraints
* n โค 1000
* 0 โค si โค 100
Input
The input consists of multiple datasets. Each dataset is given in the following format:
n
s1 s2 ... sn
The input ends with single zero for n.
Output
For each dataset, print the standard deviation in a line. The output should not contain an absolute error greater than 10-4.
Example
Input
5
70 80 100 90 20
3
80 80 80
0
Output
27.85677655
0.00000000
Submitted Solution:
```
while True:
n = int(input())
if n == 0:
break
S = list(map(int, input().split()))
avg = sum(S)/n
ans = (sum([(avg-i)**2 for i in S])/n) ** 0.5
print(str(ans))
``` | instruction | 0 | 57,147 | 11 | 114,294 |
Yes | output | 1 | 57,147 | 11 | 114,295 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have final scores of an examination for n students. Calculate standard deviation of the scores s1, s2 ... sn.
The variance ฮฑ2 is defined by
ฮฑ2 = (โni=1(si - m)2)/n
where m is an average of si. The standard deviation of the scores is the square root of their variance.
Constraints
* n โค 1000
* 0 โค si โค 100
Input
The input consists of multiple datasets. Each dataset is given in the following format:
n
s1 s2 ... sn
The input ends with single zero for n.
Output
For each dataset, print the standard deviation in a line. The output should not contain an absolute error greater than 10-4.
Example
Input
5
70 80 100 90 20
3
80 80 80
0
Output
27.85677655
0.00000000
Submitted Solution:
```
import statistics,math
while True:
N = int(input())
if N == 0:
break
s = list(map(int,input().split()))
pstdev = statistics.pstdev(s)
print(pstdev)
``` | instruction | 0 | 57,148 | 11 | 114,296 |
Yes | output | 1 | 57,148 | 11 | 114,297 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have final scores of an examination for n students. Calculate standard deviation of the scores s1, s2 ... sn.
The variance ฮฑ2 is defined by
ฮฑ2 = (โni=1(si - m)2)/n
where m is an average of si. The standard deviation of the scores is the square root of their variance.
Constraints
* n โค 1000
* 0 โค si โค 100
Input
The input consists of multiple datasets. Each dataset is given in the following format:
n
s1 s2 ... sn
The input ends with single zero for n.
Output
For each dataset, print the standard deviation in a line. The output should not contain an absolute error greater than 10-4.
Example
Input
5
70 80 100 90 20
3
80 80 80
0
Output
27.85677655
0.00000000
Submitted Solution:
```
while True:
n = int(input())
if n == 0:
break
s = list(map(float, input().split()))
m = sum(s) / n
v = sum([(x - m) ** 2 for x in s]) / n
print(v ** 0.5)
``` | instruction | 0 | 57,149 | 11 | 114,298 |
Yes | output | 1 | 57,149 | 11 | 114,299 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have final scores of an examination for n students. Calculate standard deviation of the scores s1, s2 ... sn.
The variance ฮฑ2 is defined by
ฮฑ2 = (โni=1(si - m)2)/n
where m is an average of si. The standard deviation of the scores is the square root of their variance.
Constraints
* n โค 1000
* 0 โค si โค 100
Input
The input consists of multiple datasets. Each dataset is given in the following format:
n
s1 s2 ... sn
The input ends with single zero for n.
Output
For each dataset, print the standard deviation in a line. The output should not contain an absolute error greater than 10-4.
Example
Input
5
70 80 100 90 20
3
80 80 80
0
Output
27.85677655
0.00000000
Submitted Solution:
```
while True:
n = int(input())
if n == 0:
break
pts = list(map(int, input().split()))
s = 0
m = sum(pts) / len(pts)
for pt in pts:
s += (pt - m) ** 2
print((s / len(pts)) ** 0.5)
``` | instruction | 0 | 57,150 | 11 | 114,300 |
Yes | output | 1 | 57,150 | 11 | 114,301 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have final scores of an examination for n students. Calculate standard deviation of the scores s1, s2 ... sn.
The variance ฮฑ2 is defined by
ฮฑ2 = (โni=1(si - m)2)/n
where m is an average of si. The standard deviation of the scores is the square root of their variance.
Constraints
* n โค 1000
* 0 โค si โค 100
Input
The input consists of multiple datasets. Each dataset is given in the following format:
n
s1 s2 ... sn
The input ends with single zero for n.
Output
For each dataset, print the standard deviation in a line. The output should not contain an absolute error greater than 10-4.
Example
Input
5
70 80 100 90 20
3
80 80 80
0
Output
27.85677655
0.00000000
Submitted Solution:
```
from statistics import mean, median,variance,stdev
data=[]
while True:
data.append(input().split())
if ["0"] in data:
break
data=data[:-1]
data_i=[]
for i in data:
data_i.append(list(map(lambda i:int(i),i)))
for i in data_i:
if len(i)==1:
pass
else:
print((variance(i))**0.5)
``` | instruction | 0 | 57,151 | 11 | 114,302 |
No | output | 1 | 57,151 | 11 | 114,303 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have final scores of an examination for n students. Calculate standard deviation of the scores s1, s2 ... sn.
The variance ฮฑ2 is defined by
ฮฑ2 = (โni=1(si - m)2)/n
where m is an average of si. The standard deviation of the scores is the square root of their variance.
Constraints
* n โค 1000
* 0 โค si โค 100
Input
The input consists of multiple datasets. Each dataset is given in the following format:
n
s1 s2 ... sn
The input ends with single zero for n.
Output
For each dataset, print the standard deviation in a line. The output should not contain an absolute error greater than 10-4.
Example
Input
5
70 80 100 90 20
3
80 80 80
0
Output
27.85677655
0.00000000
Submitted Solution:
```
import numpy as np
import math
while True:
n= int(input())
if n == 0:
quit()
a=list(map(int,input().split()))
m=np.mean(a)
s=0
for i in a:
s+=(i-m)**2
s/=n
print("{0:.8f}".format(math.sqrt(s)))
``` | instruction | 0 | 57,152 | 11 | 114,304 |
No | output | 1 | 57,152 | 11 | 114,305 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have final scores of an examination for n students. Calculate standard deviation of the scores s1, s2 ... sn.
The variance ฮฑ2 is defined by
ฮฑ2 = (โni=1(si - m)2)/n
where m is an average of si. The standard deviation of the scores is the square root of their variance.
Constraints
* n โค 1000
* 0 โค si โค 100
Input
The input consists of multiple datasets. Each dataset is given in the following format:
n
s1 s2 ... sn
The input ends with single zero for n.
Output
For each dataset, print the standard deviation in a line. The output should not contain an absolute error greater than 10-4.
Example
Input
5
70 80 100 90 20
3
80 80 80
0
Output
27.85677655
0.00000000
Submitted Solution:
```
import math
while True:
line = int(input())
if line == 0:
break
l = [float(s) for s in input().split()]
avg = sum(l) / len(l)
print(avg)
a2 = 0
for i in l:
a2 += (avg - i) ** 2
print(math.sqrt(a2 / len(l)))
``` | instruction | 0 | 57,153 | 11 | 114,306 |
No | output | 1 | 57,153 | 11 | 114,307 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
You have final scores of an examination for n students. Calculate standard deviation of the scores s1, s2 ... sn.
The variance ฮฑ2 is defined by
ฮฑ2 = (โni=1(si - m)2)/n
where m is an average of si. The standard deviation of the scores is the square root of their variance.
Constraints
* n โค 1000
* 0 โค si โค 100
Input
The input consists of multiple datasets. Each dataset is given in the following format:
n
s1 s2 ... sn
The input ends with single zero for n.
Output
For each dataset, print the standard deviation in a line. The output should not contain an absolute error greater than 10-4.
Example
Input
5
70 80 100 90 20
3
80 80 80
0
Output
27.85677655
0.00000000
Submitted Solution:
```
import Numpy as np
``` | instruction | 0 | 57,154 | 11 | 114,308 |
No | output | 1 | 57,154 | 11 | 114,309 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Awruk is taking part in elections in his school. It is the final round. He has only one opponent โ Elodreip. The are n students in the school. Each student has exactly k votes and is obligated to use all of them. So Awruk knows that if a person gives a_i votes for Elodreip, than he will get exactly k - a_i votes from this person. Of course 0 โค k - a_i holds.
Awruk knows that if he loses his life is over. He has been speaking a lot with his friends and now he knows a_1, a_2, ..., a_n โ how many votes for Elodreip each student wants to give. Now he wants to change the number k to win the elections. Of course he knows that bigger k means bigger chance that somebody may notice that he has changed something and then he will be disqualified.
So, Awruk knows a_1, a_2, ..., a_n โ how many votes each student will give to his opponent. Help him select the smallest winning number k. In order to win, Awruk needs to get strictly more votes than Elodreip.
Input
The first line contains integer n (1 โค n โค 100) โ the number of students in the school.
The second line contains n integers a_1, a_2, โฆ, a_n (1 โค a_i โค 100) โ the number of votes each student gives to Elodreip.
Output
Output the smallest integer k (k โฅ max a_i) which gives Awruk the victory. In order to win, Awruk needs to get strictly more votes than Elodreip.
Examples
Input
5
1 1 1 5 1
Output
5
Input
5
2 2 3 2 2
Output
5
Note
In the first example, Elodreip gets 1 + 1 + 1 + 5 + 1 = 9 votes. The smallest possible k is 5 (it surely can't be less due to the fourth person), and it leads to 4 + 4 + 4 + 0 + 4 = 16 votes for Awruk, which is enough to win.
In the second example, Elodreip gets 11 votes. If k = 4, Awruk gets 9 votes and loses to Elodreip.
Submitted Solution:
```
n = input()
a = list(map(int, input().split()))
e = max(a)
b = []
c = e * 2 + 1
for i in range(len(a)):
b.append(e-a[i])
while e <= c:
if sum(b) > sum(a):
print(e)
break
else:
for j in range(len(b)):
b[j] += 1
e+=1
``` | instruction | 0 | 57,168 | 11 | 114,336 |
Yes | output | 1 | 57,168 | 11 | 114,337 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Awruk is taking part in elections in his school. It is the final round. He has only one opponent โ Elodreip. The are n students in the school. Each student has exactly k votes and is obligated to use all of them. So Awruk knows that if a person gives a_i votes for Elodreip, than he will get exactly k - a_i votes from this person. Of course 0 โค k - a_i holds.
Awruk knows that if he loses his life is over. He has been speaking a lot with his friends and now he knows a_1, a_2, ..., a_n โ how many votes for Elodreip each student wants to give. Now he wants to change the number k to win the elections. Of course he knows that bigger k means bigger chance that somebody may notice that he has changed something and then he will be disqualified.
So, Awruk knows a_1, a_2, ..., a_n โ how many votes each student will give to his opponent. Help him select the smallest winning number k. In order to win, Awruk needs to get strictly more votes than Elodreip.
Input
The first line contains integer n (1 โค n โค 100) โ the number of students in the school.
The second line contains n integers a_1, a_2, โฆ, a_n (1 โค a_i โค 100) โ the number of votes each student gives to Elodreip.
Output
Output the smallest integer k (k โฅ max a_i) which gives Awruk the victory. In order to win, Awruk needs to get strictly more votes than Elodreip.
Examples
Input
5
1 1 1 5 1
Output
5
Input
5
2 2 3 2 2
Output
5
Note
In the first example, Elodreip gets 1 + 1 + 1 + 5 + 1 = 9 votes. The smallest possible k is 5 (it surely can't be less due to the fourth person), and it leads to 4 + 4 + 4 + 0 + 4 = 16 votes for Awruk, which is enough to win.
In the second example, Elodreip gets 11 votes. If k = 4, Awruk gets 9 votes and loses to Elodreip.
Submitted Solution:
```
n=int(input())
a=list(map(int,input().split(' ')))
s=max(a)
p=sum(a)
su=0
for i in range(n):
su=su+s-a[i]
if su>p:
print(s)
else:
c=0
while 1:
c=c+1
su=su+n
if su>p:
break
print(s+c)
``` | instruction | 0 | 57,169 | 11 | 114,338 |
Yes | output | 1 | 57,169 | 11 | 114,339 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Awruk is taking part in elections in his school. It is the final round. He has only one opponent โ Elodreip. The are n students in the school. Each student has exactly k votes and is obligated to use all of them. So Awruk knows that if a person gives a_i votes for Elodreip, than he will get exactly k - a_i votes from this person. Of course 0 โค k - a_i holds.
Awruk knows that if he loses his life is over. He has been speaking a lot with his friends and now he knows a_1, a_2, ..., a_n โ how many votes for Elodreip each student wants to give. Now he wants to change the number k to win the elections. Of course he knows that bigger k means bigger chance that somebody may notice that he has changed something and then he will be disqualified.
So, Awruk knows a_1, a_2, ..., a_n โ how many votes each student will give to his opponent. Help him select the smallest winning number k. In order to win, Awruk needs to get strictly more votes than Elodreip.
Input
The first line contains integer n (1 โค n โค 100) โ the number of students in the school.
The second line contains n integers a_1, a_2, โฆ, a_n (1 โค a_i โค 100) โ the number of votes each student gives to Elodreip.
Output
Output the smallest integer k (k โฅ max a_i) which gives Awruk the victory. In order to win, Awruk needs to get strictly more votes than Elodreip.
Examples
Input
5
1 1 1 5 1
Output
5
Input
5
2 2 3 2 2
Output
5
Note
In the first example, Elodreip gets 1 + 1 + 1 + 5 + 1 = 9 votes. The smallest possible k is 5 (it surely can't be less due to the fourth person), and it leads to 4 + 4 + 4 + 0 + 4 = 16 votes for Awruk, which is enough to win.
In the second example, Elodreip gets 11 votes. If k = 4, Awruk gets 9 votes and loses to Elodreip.
Submitted Solution:
```
from bisect import bisect_left as bl
from bisect import bisect_right as br
from heapq import heappush,heappop
import math
from collections import *
from functools import reduce,cmp_to_key,lru_cache
import io, os
input = io.BytesIO(os.read(0,os.fstat(0).st_size)).readline
# import sys
# input = sys.stdin.readline
M = mod = 10**9 + 7
def factors(n):return sorted(set(reduce(list.__add__, ([i, n//i] for i in range(1, int(n**0.5) + 1) if n % i == 0))))
def inv_mod(n):return pow(n, mod - 2, mod)
def li():return [int(i) for i in input().rstrip().split()]
def st():return str(input().rstrip())[2:-1]
def val():return int(input().rstrip())
def li2():return [str(i)[2:-1] for i in input().rstrip().split()]
def li3():return [int(i) for i in st()]
n = val()
l = li()
su = sum(l)
low = max(l)
high = 10**2000
while low <= high:
mid = (low + high) >> 1
if mid * n - su > su:
high = mid - 1
ans = mid
else:
low = mid + 1
print(ans)
``` | instruction | 0 | 57,170 | 11 | 114,340 |
Yes | output | 1 | 57,170 | 11 | 114,341 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Awruk is taking part in elections in his school. It is the final round. He has only one opponent โ Elodreip. The are n students in the school. Each student has exactly k votes and is obligated to use all of them. So Awruk knows that if a person gives a_i votes for Elodreip, than he will get exactly k - a_i votes from this person. Of course 0 โค k - a_i holds.
Awruk knows that if he loses his life is over. He has been speaking a lot with his friends and now he knows a_1, a_2, ..., a_n โ how many votes for Elodreip each student wants to give. Now he wants to change the number k to win the elections. Of course he knows that bigger k means bigger chance that somebody may notice that he has changed something and then he will be disqualified.
So, Awruk knows a_1, a_2, ..., a_n โ how many votes each student will give to his opponent. Help him select the smallest winning number k. In order to win, Awruk needs to get strictly more votes than Elodreip.
Input
The first line contains integer n (1 โค n โค 100) โ the number of students in the school.
The second line contains n integers a_1, a_2, โฆ, a_n (1 โค a_i โค 100) โ the number of votes each student gives to Elodreip.
Output
Output the smallest integer k (k โฅ max a_i) which gives Awruk the victory. In order to win, Awruk needs to get strictly more votes than Elodreip.
Examples
Input
5
1 1 1 5 1
Output
5
Input
5
2 2 3 2 2
Output
5
Note
In the first example, Elodreip gets 1 + 1 + 1 + 5 + 1 = 9 votes. The smallest possible k is 5 (it surely can't be less due to the fourth person), and it leads to 4 + 4 + 4 + 0 + 4 = 16 votes for Awruk, which is enough to win.
In the second example, Elodreip gets 11 votes. If k = 4, Awruk gets 9 votes and loses to Elodreip.
Submitted Solution:
```
from math import inf as inf
from math import *
from collections import *
import sys
input=sys.stdin.readline
t=1
while(t):
t-=1
n=int(input())
a=list(map(int,input().split()))
k=max(a)
s1=sum(a)
while(1):
s2=0
for j in a:
s2+=max(0,k-j)
if(s2>s1):
break
k+=1
print(k)
``` | instruction | 0 | 57,171 | 11 | 114,342 |
Yes | output | 1 | 57,171 | 11 | 114,343 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Awruk is taking part in elections in his school. It is the final round. He has only one opponent โ Elodreip. The are n students in the school. Each student has exactly k votes and is obligated to use all of them. So Awruk knows that if a person gives a_i votes for Elodreip, than he will get exactly k - a_i votes from this person. Of course 0 โค k - a_i holds.
Awruk knows that if he loses his life is over. He has been speaking a lot with his friends and now he knows a_1, a_2, ..., a_n โ how many votes for Elodreip each student wants to give. Now he wants to change the number k to win the elections. Of course he knows that bigger k means bigger chance that somebody may notice that he has changed something and then he will be disqualified.
So, Awruk knows a_1, a_2, ..., a_n โ how many votes each student will give to his opponent. Help him select the smallest winning number k. In order to win, Awruk needs to get strictly more votes than Elodreip.
Input
The first line contains integer n (1 โค n โค 100) โ the number of students in the school.
The second line contains n integers a_1, a_2, โฆ, a_n (1 โค a_i โค 100) โ the number of votes each student gives to Elodreip.
Output
Output the smallest integer k (k โฅ max a_i) which gives Awruk the victory. In order to win, Awruk needs to get strictly more votes than Elodreip.
Examples
Input
5
1 1 1 5 1
Output
5
Input
5
2 2 3 2 2
Output
5
Note
In the first example, Elodreip gets 1 + 1 + 1 + 5 + 1 = 9 votes. The smallest possible k is 5 (it surely can't be less due to the fourth person), and it leads to 4 + 4 + 4 + 0 + 4 = 16 votes for Awruk, which is enough to win.
In the second example, Elodreip gets 11 votes. If k = 4, Awruk gets 9 votes and loses to Elodreip.
Submitted Solution:
```
# -*- coding: utf-8 -*-
# @Date : 2018-10-28 17:09:32
# @Author : raj lath (oorja.halt@gmail.com)
# @Link : link
# @Version : 1.0.0
from sys import stdin
max_val=int(10e12)
min_val=int(-10e12)
def read_int() : return int(stdin.readline())
def read_ints() : return [int(x) for x in stdin.readline().split()]
def read_str() : return input()
def read_strs() : return [x for x in stdin.readline().split()]
def other_got(arr, k):
return sum([k - x for x in arr])
nb_studs = read_int()
elodreip_got = read_ints()
maxe = max(elodreip_got)
sume = sum(elodreip_got)
if (maxe * nb_studs) - sume > sume :
print(max(elodreip_got))
else:
i = maxe
while sume > other_got(elodreip_got, i):
i += 1
print(i)
``` | instruction | 0 | 57,172 | 11 | 114,344 |
No | output | 1 | 57,172 | 11 | 114,345 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Awruk is taking part in elections in his school. It is the final round. He has only one opponent โ Elodreip. The are n students in the school. Each student has exactly k votes and is obligated to use all of them. So Awruk knows that if a person gives a_i votes for Elodreip, than he will get exactly k - a_i votes from this person. Of course 0 โค k - a_i holds.
Awruk knows that if he loses his life is over. He has been speaking a lot with his friends and now he knows a_1, a_2, ..., a_n โ how many votes for Elodreip each student wants to give. Now he wants to change the number k to win the elections. Of course he knows that bigger k means bigger chance that somebody may notice that he has changed something and then he will be disqualified.
So, Awruk knows a_1, a_2, ..., a_n โ how many votes each student will give to his opponent. Help him select the smallest winning number k. In order to win, Awruk needs to get strictly more votes than Elodreip.
Input
The first line contains integer n (1 โค n โค 100) โ the number of students in the school.
The second line contains n integers a_1, a_2, โฆ, a_n (1 โค a_i โค 100) โ the number of votes each student gives to Elodreip.
Output
Output the smallest integer k (k โฅ max a_i) which gives Awruk the victory. In order to win, Awruk needs to get strictly more votes than Elodreip.
Examples
Input
5
1 1 1 5 1
Output
5
Input
5
2 2 3 2 2
Output
5
Note
In the first example, Elodreip gets 1 + 1 + 1 + 5 + 1 = 9 votes. The smallest possible k is 5 (it surely can't be less due to the fourth person), and it leads to 4 + 4 + 4 + 0 + 4 = 16 votes for Awruk, which is enough to win.
In the second example, Elodreip gets 11 votes. If k = 4, Awruk gets 9 votes and loses to Elodreip.
Submitted Solution:
```
n=int(input())
l=list(map(int,input().split()))
j=int(2*sum(l)/n)
if(2*sum(l)/n!=int(2*sum(l)/n)):
j+=1
if(j>=max(l)):
print(j)
else:
print(max(l))
``` | instruction | 0 | 57,173 | 11 | 114,346 |
No | output | 1 | 57,173 | 11 | 114,347 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Awruk is taking part in elections in his school. It is the final round. He has only one opponent โ Elodreip. The are n students in the school. Each student has exactly k votes and is obligated to use all of them. So Awruk knows that if a person gives a_i votes for Elodreip, than he will get exactly k - a_i votes from this person. Of course 0 โค k - a_i holds.
Awruk knows that if he loses his life is over. He has been speaking a lot with his friends and now he knows a_1, a_2, ..., a_n โ how many votes for Elodreip each student wants to give. Now he wants to change the number k to win the elections. Of course he knows that bigger k means bigger chance that somebody may notice that he has changed something and then he will be disqualified.
So, Awruk knows a_1, a_2, ..., a_n โ how many votes each student will give to his opponent. Help him select the smallest winning number k. In order to win, Awruk needs to get strictly more votes than Elodreip.
Input
The first line contains integer n (1 โค n โค 100) โ the number of students in the school.
The second line contains n integers a_1, a_2, โฆ, a_n (1 โค a_i โค 100) โ the number of votes each student gives to Elodreip.
Output
Output the smallest integer k (k โฅ max a_i) which gives Awruk the victory. In order to win, Awruk needs to get strictly more votes than Elodreip.
Examples
Input
5
1 1 1 5 1
Output
5
Input
5
2 2 3 2 2
Output
5
Note
In the first example, Elodreip gets 1 + 1 + 1 + 5 + 1 = 9 votes. The smallest possible k is 5 (it surely can't be less due to the fourth person), and it leads to 4 + 4 + 4 + 0 + 4 = 16 votes for Awruk, which is enough to win.
In the second example, Elodreip gets 11 votes. If k = 4, Awruk gets 9 votes and loses to Elodreip.
Submitted Solution:
```
n = int(input())
votes = sum(list(map(int,input().split())))
i = 1
while True:
if i*i/2>votes:
print(i)
break
else:
i+=1
``` | instruction | 0 | 57,174 | 11 | 114,348 |
No | output | 1 | 57,174 | 11 | 114,349 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
Awruk is taking part in elections in his school. It is the final round. He has only one opponent โ Elodreip. The are n students in the school. Each student has exactly k votes and is obligated to use all of them. So Awruk knows that if a person gives a_i votes for Elodreip, than he will get exactly k - a_i votes from this person. Of course 0 โค k - a_i holds.
Awruk knows that if he loses his life is over. He has been speaking a lot with his friends and now he knows a_1, a_2, ..., a_n โ how many votes for Elodreip each student wants to give. Now he wants to change the number k to win the elections. Of course he knows that bigger k means bigger chance that somebody may notice that he has changed something and then he will be disqualified.
So, Awruk knows a_1, a_2, ..., a_n โ how many votes each student will give to his opponent. Help him select the smallest winning number k. In order to win, Awruk needs to get strictly more votes than Elodreip.
Input
The first line contains integer n (1 โค n โค 100) โ the number of students in the school.
The second line contains n integers a_1, a_2, โฆ, a_n (1 โค a_i โค 100) โ the number of votes each student gives to Elodreip.
Output
Output the smallest integer k (k โฅ max a_i) which gives Awruk the victory. In order to win, Awruk needs to get strictly more votes than Elodreip.
Examples
Input
5
1 1 1 5 1
Output
5
Input
5
2 2 3 2 2
Output
5
Note
In the first example, Elodreip gets 1 + 1 + 1 + 5 + 1 = 9 votes. The smallest possible k is 5 (it surely can't be less due to the fourth person), and it leads to 4 + 4 + 4 + 0 + 4 = 16 votes for Awruk, which is enough to win.
In the second example, Elodreip gets 11 votes. If k = 4, Awruk gets 9 votes and loses to Elodreip.
Submitted Solution:
```
a = int(input())
b = list(map(int, input().split(' ')))
r = 2*sum(b)/len(b)
m = max(b)
if r <= m: print(m)
elif r%1 > 0: print(int(r//1 + 1))
else: print(int(r//1))
``` | instruction | 0 | 57,175 | 11 | 114,350 |
No | output | 1 | 57,175 | 11 | 114,351 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an interactive problem!
Ehab plays a game with Laggy. Ehab has 2 hidden integers (a,b). Laggy can ask a pair of integers (c,d) and Ehab will reply with:
* 1 if a โ c>b โ d.
* 0 if a โ c=b โ d.
* -1 if a โ c<b โ d.
Operation a โ b is the [bitwise-xor operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR) of two numbers a and b.
Laggy should guess (a,b) with at most 62 questions. You'll play this game. You're Laggy and the interactor is Ehab.
It's guaranteed that 0 โค a,b<2^{30}.
Input
See the interaction section.
Output
To print the answer, print "! a b" (without quotes). Don't forget to flush the output after printing the answer.
Interaction
To ask a question, print "? c d" (without quotes). Both c and d must be non-negative integers less than 2^{30}. Don't forget to flush the output after printing any question.
After each question, you should read the answer as mentioned in the legend. If the interactor replies with -2, that means you asked more than 62 queries and your program should terminate.
To flush the output, you can use:-
* fflush(stdout) in C++.
* System.out.flush() in Java.
* stdout.flush() in Python.
* flush(output) in Pascal.
* See the documentation for other languages.
Hacking:
To hack someone, print the 2 space-separated integers a and b (0 โค a,b<2^{30}).
Example
Input
1
-1
0
Output
? 2 1
? 1 2
? 2 0
! 3 1
Note
In the sample:
The hidden numbers are a=3 and b=1.
In the first query: 3 โ 2 = 1 and 1 โ 1 = 0, so the answer is 1.
In the second query: 3 โ 1 = 2 and 1 โ 2 = 3, so the answer is -1.
In the third query: 3 โ 2 = 1 and 1 โ 0 = 1, so the answer is 0.
Then, we printed the answer.
Submitted Solution:
```
#print(2**30)
def bini(start=0,end=2**30+1):
if end==-1:
end=len(where)-1
ans=100
while (end-start>=1)and (ans!=0) :
d=(end+start)//2
cicl=bin(d)
cicl=str(cicl)[3:]
cicl=list('0'*(31-len(cicl))+cicl)
#print(cicl)
first=list('0'*31)
second=first.copy()
for i in range(31):
if cicl[i]=='0':
if i==0:
first[i]='1'
second[i]='0'
else:
first[i]='0'
second[i]='1'
else:
first[i]='0'
second[i]='0'
print('?',int(''.join(first),2),int(''.join(second),2))
ans=int(input())
if ans==1:
start=d
elif ans==-1:
end=d
#print(start,end)
if (ans==0):
return (''.join(first),''.join(second))
else:
return(-1,-1)
first,second=bini()
print('!',int(first,2),int(second,2))
``` | instruction | 0 | 57,176 | 11 | 114,352 |
No | output | 1 | 57,176 | 11 | 114,353 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an interactive problem!
Ehab plays a game with Laggy. Ehab has 2 hidden integers (a,b). Laggy can ask a pair of integers (c,d) and Ehab will reply with:
* 1 if a โ c>b โ d.
* 0 if a โ c=b โ d.
* -1 if a โ c<b โ d.
Operation a โ b is the [bitwise-xor operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR) of two numbers a and b.
Laggy should guess (a,b) with at most 62 questions. You'll play this game. You're Laggy and the interactor is Ehab.
It's guaranteed that 0 โค a,b<2^{30}.
Input
See the interaction section.
Output
To print the answer, print "! a b" (without quotes). Don't forget to flush the output after printing the answer.
Interaction
To ask a question, print "? c d" (without quotes). Both c and d must be non-negative integers less than 2^{30}. Don't forget to flush the output after printing any question.
After each question, you should read the answer as mentioned in the legend. If the interactor replies with -2, that means you asked more than 62 queries and your program should terminate.
To flush the output, you can use:-
* fflush(stdout) in C++.
* System.out.flush() in Java.
* stdout.flush() in Python.
* flush(output) in Pascal.
* See the documentation for other languages.
Hacking:
To hack someone, print the 2 space-separated integers a and b (0 โค a,b<2^{30}).
Example
Input
1
-1
0
Output
? 2 1
? 1 2
? 2 0
! 3 1
Note
In the sample:
The hidden numbers are a=3 and b=1.
In the first query: 3 โ 2 = 1 and 1 โ 1 = 0, so the answer is 1.
In the second query: 3 โ 1 = 2 and 1 โ 2 = 3, so the answer is -1.
In the third query: 3 โ 2 = 1 and 1 โ 0 = 1, so the answer is 0.
Then, we printed the answer.
Submitted Solution:
```
import sys
def ask(c, d):
print("? {} {}".format(c, d))
return int(input())
a = b = c = d = 0
def solve(mi, base):
# print(f"# solve: {mi=} {base=}", file=sys.stderr)
def solve_same():
global a, b, c, d
z = c
for i in range(mi, -1, -1):
# print(f">> {i=} {z=}", file=sys.stderr)
bit = 1 << i
res1 = ask(z ^ bit, z)
res2 = ask(z, z ^ bit)
if res1 == -1 and res2 == 1:
z |= bit
a |= bit
b |= bit
def solve1():
global a, b, c, d
# print("solve1", file=sys.stderr)
for i in range(mi, -1, -1):
# print(f">> {i=} {a=} {b=} {c=} {d=}", file=sys.stderr)
bit = 1 << i
res1 = ask(c ^ bit, d ^ bit)
if res1 == -1:
a |= bit
c |= bit
res2 = ask(c, d)
return solve(i - 1, res2)
else:
res2 = ask(c ^ bit, d)
if res2 == -1:
a |= bit
b |= bit
def solve2():
global a, b, c, d
# print("solve2", file=sys.stderr)
for i in range(mi, -1, -1):
# print(f">> {i=} {a=} {b=} {c=} {d=}", file=sys.stderr)
bit = 1 << i
res1 = ask(c ^ bit, d ^ bit)
if res1 == 1:
b |= bit
d |= bit
res2 = ask(c, d)
return solve(i - 1, res2)
else:
res2 = ask(c, d ^ bit)
if res2 == 1:
a |= bit
b |= bit
if base == 0:
solve_same()
elif base == 1:
solve1()
else:
solve2()
base = ask(0, 0)
solve(29, base)
print("! {} {}".format(a, b))
``` | instruction | 0 | 57,177 | 11 | 114,354 |
No | output | 1 | 57,177 | 11 | 114,355 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an interactive problem!
Ehab plays a game with Laggy. Ehab has 2 hidden integers (a,b). Laggy can ask a pair of integers (c,d) and Ehab will reply with:
* 1 if a โ c>b โ d.
* 0 if a โ c=b โ d.
* -1 if a โ c<b โ d.
Operation a โ b is the [bitwise-xor operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR) of two numbers a and b.
Laggy should guess (a,b) with at most 62 questions. You'll play this game. You're Laggy and the interactor is Ehab.
It's guaranteed that 0 โค a,b<2^{30}.
Input
See the interaction section.
Output
To print the answer, print "! a b" (without quotes). Don't forget to flush the output after printing the answer.
Interaction
To ask a question, print "? c d" (without quotes). Both c and d must be non-negative integers less than 2^{30}. Don't forget to flush the output after printing any question.
After each question, you should read the answer as mentioned in the legend. If the interactor replies with -2, that means you asked more than 62 queries and your program should terminate.
To flush the output, you can use:-
* fflush(stdout) in C++.
* System.out.flush() in Java.
* stdout.flush() in Python.
* flush(output) in Pascal.
* See the documentation for other languages.
Hacking:
To hack someone, print the 2 space-separated integers a and b (0 โค a,b<2^{30}).
Example
Input
1
-1
0
Output
? 2 1
? 1 2
? 2 0
! 3 1
Note
In the sample:
The hidden numbers are a=3 and b=1.
In the first query: 3 โ 2 = 1 and 1 โ 1 = 0, so the answer is 1.
In the second query: 3 โ 1 = 2 and 1 โ 2 = 3, so the answer is -1.
In the third query: 3 โ 2 = 1 and 1 โ 0 = 1, so the answer is 0.
Then, we printed the answer.
Submitted Solution:
```
import os, sys
from io import BytesIO, IOBase
from math import log2, ceil, sqrt, gcd
from _collections import deque
import heapq as hp
from bisect import bisect_left, bisect_right
from math import cos, sin
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = "x" in file.mode or "r" not in file.mode
self.write = self.buffer.write if self.writable else None
def read(self):
while True:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
if not b:
break
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines = 0
return self.buffer.read()
def readline(self):
while self.newlines == 0:
b = os.read(self._fd, max(os.fstat(self._fd).st_size, BUFSIZE))
self.newlines = b.count(b"\n") + (not b)
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines -= 1
return self.buffer.readline()
def flush(self):
if self.writable:
os.write(self._fd, self.buffer.getvalue())
self.buffer.truncate(0), self.buffer.seek(0)
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
self.write = lambda s: self.buffer.write(s.encode("ascii"))
self.read = lambda: self.buffer.read().decode("ascii")
self.readline = lambda: self.buffer.readline().decode("ascii")
sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")
mod = 10 ** 9 + 7
def ask(x,y):
print('?',x,y,flush=True)
return int(input())
a=b=0
cond = ask(a, b)
for i in range(29,-1,-1):
if cond:
x=a+(1<<i)
y=b+(1<<i)
n_cond=ask(x,y)
if cond== n_cond:
continue
if cond==1 :
a=x
else:
b=y
cond=ask(a,b)
else:
x=a+(1<<i)
y=b+(1<<i)
n_cond=ask(x,b)
if n_cond==-1:
a=x
b=y
print('!',a,b,flush=True)
``` | instruction | 0 | 57,178 | 11 | 114,356 |
No | output | 1 | 57,178 | 11 | 114,357 |
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response.
This is an interactive problem!
Ehab plays a game with Laggy. Ehab has 2 hidden integers (a,b). Laggy can ask a pair of integers (c,d) and Ehab will reply with:
* 1 if a โ c>b โ d.
* 0 if a โ c=b โ d.
* -1 if a โ c<b โ d.
Operation a โ b is the [bitwise-xor operation](https://en.wikipedia.org/wiki/Bitwise_operation#XOR) of two numbers a and b.
Laggy should guess (a,b) with at most 62 questions. You'll play this game. You're Laggy and the interactor is Ehab.
It's guaranteed that 0 โค a,b<2^{30}.
Input
See the interaction section.
Output
To print the answer, print "! a b" (without quotes). Don't forget to flush the output after printing the answer.
Interaction
To ask a question, print "? c d" (without quotes). Both c and d must be non-negative integers less than 2^{30}. Don't forget to flush the output after printing any question.
After each question, you should read the answer as mentioned in the legend. If the interactor replies with -2, that means you asked more than 62 queries and your program should terminate.
To flush the output, you can use:-
* fflush(stdout) in C++.
* System.out.flush() in Java.
* stdout.flush() in Python.
* flush(output) in Pascal.
* See the documentation for other languages.
Hacking:
To hack someone, print the 2 space-separated integers a and b (0 โค a,b<2^{30}).
Example
Input
1
-1
0
Output
? 2 1
? 1 2
? 2 0
! 3 1
Note
In the sample:
The hidden numbers are a=3 and b=1.
In the first query: 3 โ 2 = 1 and 1 โ 1 = 0, so the answer is 1.
In the second query: 3 โ 1 = 2 and 1 โ 2 = 3, so the answer is -1.
In the third query: 3 โ 2 = 1 and 1 โ 0 = 1, so the answer is 0.
Then, we printed the answer.
Submitted Solution:
```
import sys
print("?", 0, 0)
CON = 6
c = 0
d = 0
n = int(input())
de = False
if n == 0:
i = 0
while i != CON:
if de:
print("?", c, d, bin(c), bin(d))
else:
print("?", c, d)
sys.stdout.flush()
n = int(input())
if n == -1:
c += 2 ** i
d += 2 ** i
i += 1
if de:
print("!", c, d, bin(c), bin(d))
else:
print("!", c, d)
sys.stdout.flush()
else:
i = CON - 1
k = n
while i != -1:
c += 2 ** i
d += 2 ** i
if de:
print("?", c, d, bin(c), bin(d))
else:
print("?", c, d)
sys.stdout.flush()
n = int(input())
if n == 0:
break
else:
if n != k:
if n == -1 and k == 1:
d -= 2 ** i
else:
c -= 2 ** i
if de:
print("?", c, d, bin(c), bin(d))
else:
print("?", c, d)
sys.stdout.flush()
n = int(input())
k = n
i -= 1
i = -1
while i != -CON:
if bin(c)[i] != bin(d)[i]:
i -= 1
else:
d -= 2 ** (-i - 1)
if de:
print("?", c, d, bin(c), bin(d))
else:
print("?", c, d)
sys.stdout.flush()
n = int(input())
if n == 1:
c -= 2 ** (-i - 1)
elif n == -1:
d += 2 ** (-i - 1)
i -= 1
if de:
print("!", c, d, bin(c), bin(d))
else:
print("!", c, d)
sys.stdout.flush()
print(c, d, bin(c), bin(d))
``` | instruction | 0 | 57,179 | 11 | 114,358 |
No | output | 1 | 57,179 | 11 | 114,359 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Please note the non-standard memory limit.
There are n problems numbered with integers from 1 to n. i-th problem has the complexity c_i = 2^i, tag tag_i and score s_i.
After solving the problem i it's allowed to solve problem j if and only if IQ < |c_i - c_j| and tag_i โ tag_j. After solving it your IQ changes and becomes IQ = |c_i - c_j| and you gain |s_i - s_j| points.
Any problem can be the first. You can solve problems in any order and as many times as you want.
Initially your IQ = 0. Find the maximum number of points that can be earned.
Input
The first line contains a single integer t (1 โค t โค 100) โ the number of test cases.
The first line of each test case contains an integer n (1 โค n โค 5000) โ the number of problems.
The second line of each test case contains n integers tag_1, tag_2, โฆ, tag_n (1 โค tag_i โค n) โ tags of the problems.
The third line of each test case contains n integers s_1, s_2, โฆ, s_n (1 โค s_i โค 10^9) โ scores of the problems.
It's guaranteed that sum of n over all test cases does not exceed 5000.
Output
For each test case print a single integer โ the maximum number of points that can be earned.
Example
Input
5
4
1 2 3 4
5 10 15 20
4
1 2 1 2
5 10 15 20
4
2 2 4 1
2 8 19 1
2
1 1
6 9
1
1
666
Output
35
30
42
0
0
Note
In the first test case optimal sequence of solving problems is as follows:
1. 1 โ 2, after that total score is 5 and IQ = 2
2. 2 โ 3, after that total score is 10 and IQ = 4
3. 3 โ 1, after that total score is 20 and IQ = 6
4. 1 โ 4, after that total score is 35 and IQ = 14
In the second test case optimal sequence of solving problems is as follows:
1. 1 โ 2, after that total score is 5 and IQ = 2
2. 2 โ 3, after that total score is 10 and IQ = 4
3. 3 โ 4, after that total score is 15 and IQ = 8
4. 4 โ 1, after that total score is 35 and IQ = 14
In the third test case optimal sequence of solving problems is as follows:
1. 1 โ 3, after that total score is 17 and IQ = 6
2. 3 โ 4, after that total score is 35 and IQ = 8
3. 4 โ 2, after that total score is 42 and IQ = 12 | instruction | 0 | 57,302 | 11 | 114,604 |
Tags: bitmasks, dp, graphs, number theory
Correct Solution:
```
def nr():return int(input())
def nrs():return [int(i) for i in input().split()]
def f(n,t,s):
d=[0]*n
for i in range(1,n):
for j in range(i-1,-1,-1):
if t[i]==t[j]:continue
sc=abs(s[i]-s[j])
d[i],d[j]=max(d[i],d[j]+sc),max(d[j],d[i]+sc)
return max(d)
for _ in range(nr()):
n=nr()
t=nrs()
s=nrs()
print(f(n,t,s))
``` | output | 1 | 57,302 | 11 | 114,605 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Please note the non-standard memory limit.
There are n problems numbered with integers from 1 to n. i-th problem has the complexity c_i = 2^i, tag tag_i and score s_i.
After solving the problem i it's allowed to solve problem j if and only if IQ < |c_i - c_j| and tag_i โ tag_j. After solving it your IQ changes and becomes IQ = |c_i - c_j| and you gain |s_i - s_j| points.
Any problem can be the first. You can solve problems in any order and as many times as you want.
Initially your IQ = 0. Find the maximum number of points that can be earned.
Input
The first line contains a single integer t (1 โค t โค 100) โ the number of test cases.
The first line of each test case contains an integer n (1 โค n โค 5000) โ the number of problems.
The second line of each test case contains n integers tag_1, tag_2, โฆ, tag_n (1 โค tag_i โค n) โ tags of the problems.
The third line of each test case contains n integers s_1, s_2, โฆ, s_n (1 โค s_i โค 10^9) โ scores of the problems.
It's guaranteed that sum of n over all test cases does not exceed 5000.
Output
For each test case print a single integer โ the maximum number of points that can be earned.
Example
Input
5
4
1 2 3 4
5 10 15 20
4
1 2 1 2
5 10 15 20
4
2 2 4 1
2 8 19 1
2
1 1
6 9
1
1
666
Output
35
30
42
0
0
Note
In the first test case optimal sequence of solving problems is as follows:
1. 1 โ 2, after that total score is 5 and IQ = 2
2. 2 โ 3, after that total score is 10 and IQ = 4
3. 3 โ 1, after that total score is 20 and IQ = 6
4. 1 โ 4, after that total score is 35 and IQ = 14
In the second test case optimal sequence of solving problems is as follows:
1. 1 โ 2, after that total score is 5 and IQ = 2
2. 2 โ 3, after that total score is 10 and IQ = 4
3. 3 โ 4, after that total score is 15 and IQ = 8
4. 4 โ 1, after that total score is 35 and IQ = 14
In the third test case optimal sequence of solving problems is as follows:
1. 1 โ 3, after that total score is 17 and IQ = 6
2. 3 โ 4, after that total score is 35 and IQ = 8
3. 4 โ 2, after that total score is 42 and IQ = 12 | instruction | 0 | 57,303 | 11 | 114,606 |
Tags: bitmasks, dp, graphs, number theory
Correct Solution:
```
import sys;input = sys.stdin.readline
for _ in range(int(input())):
n = int(input());A = list(map(int, input().split()));B = list(map(int, input().split()));dp = [0] * n
for i in range(n):
for j in range(i - 1, -1, -1):
if A[i] == A[j]: continue
s = abs(B[i] - B[j]);dp[i], dp[j] = max(dp[i], dp[j] + s), max(dp[j], dp[i] + s)
print(max(dp))
``` | output | 1 | 57,303 | 11 | 114,607 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Please note the non-standard memory limit.
There are n problems numbered with integers from 1 to n. i-th problem has the complexity c_i = 2^i, tag tag_i and score s_i.
After solving the problem i it's allowed to solve problem j if and only if IQ < |c_i - c_j| and tag_i โ tag_j. After solving it your IQ changes and becomes IQ = |c_i - c_j| and you gain |s_i - s_j| points.
Any problem can be the first. You can solve problems in any order and as many times as you want.
Initially your IQ = 0. Find the maximum number of points that can be earned.
Input
The first line contains a single integer t (1 โค t โค 100) โ the number of test cases.
The first line of each test case contains an integer n (1 โค n โค 5000) โ the number of problems.
The second line of each test case contains n integers tag_1, tag_2, โฆ, tag_n (1 โค tag_i โค n) โ tags of the problems.
The third line of each test case contains n integers s_1, s_2, โฆ, s_n (1 โค s_i โค 10^9) โ scores of the problems.
It's guaranteed that sum of n over all test cases does not exceed 5000.
Output
For each test case print a single integer โ the maximum number of points that can be earned.
Example
Input
5
4
1 2 3 4
5 10 15 20
4
1 2 1 2
5 10 15 20
4
2 2 4 1
2 8 19 1
2
1 1
6 9
1
1
666
Output
35
30
42
0
0
Note
In the first test case optimal sequence of solving problems is as follows:
1. 1 โ 2, after that total score is 5 and IQ = 2
2. 2 โ 3, after that total score is 10 and IQ = 4
3. 3 โ 1, after that total score is 20 and IQ = 6
4. 1 โ 4, after that total score is 35 and IQ = 14
In the second test case optimal sequence of solving problems is as follows:
1. 1 โ 2, after that total score is 5 and IQ = 2
2. 2 โ 3, after that total score is 10 and IQ = 4
3. 3 โ 4, after that total score is 15 and IQ = 8
4. 4 โ 1, after that total score is 35 and IQ = 14
In the third test case optimal sequence of solving problems is as follows:
1. 1 โ 3, after that total score is 17 and IQ = 6
2. 3 โ 4, after that total score is 35 and IQ = 8
3. 4 โ 2, after that total score is 42 and IQ = 12 | instruction | 0 | 57,304 | 11 | 114,608 |
Tags: bitmasks, dp, graphs, number theory
Correct Solution:
```
for _ in range(int(input())):
n = int(input())
A = list(map(int, input().split()))
B = list(map(int, input().split()))
dp = [0] * n
for i in range(n):
for j in range(i - 1, -1, -1):
if A[i] == A[j]: continue
s = abs(B[i] - B[j])
dp[i], dp[j] = max(dp[i], dp[j] + s), max(dp[j], dp[i] + s)
print(max(dp))
``` | output | 1 | 57,304 | 11 | 114,609 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Please note the non-standard memory limit.
There are n problems numbered with integers from 1 to n. i-th problem has the complexity c_i = 2^i, tag tag_i and score s_i.
After solving the problem i it's allowed to solve problem j if and only if IQ < |c_i - c_j| and tag_i โ tag_j. After solving it your IQ changes and becomes IQ = |c_i - c_j| and you gain |s_i - s_j| points.
Any problem can be the first. You can solve problems in any order and as many times as you want.
Initially your IQ = 0. Find the maximum number of points that can be earned.
Input
The first line contains a single integer t (1 โค t โค 100) โ the number of test cases.
The first line of each test case contains an integer n (1 โค n โค 5000) โ the number of problems.
The second line of each test case contains n integers tag_1, tag_2, โฆ, tag_n (1 โค tag_i โค n) โ tags of the problems.
The third line of each test case contains n integers s_1, s_2, โฆ, s_n (1 โค s_i โค 10^9) โ scores of the problems.
It's guaranteed that sum of n over all test cases does not exceed 5000.
Output
For each test case print a single integer โ the maximum number of points that can be earned.
Example
Input
5
4
1 2 3 4
5 10 15 20
4
1 2 1 2
5 10 15 20
4
2 2 4 1
2 8 19 1
2
1 1
6 9
1
1
666
Output
35
30
42
0
0
Note
In the first test case optimal sequence of solving problems is as follows:
1. 1 โ 2, after that total score is 5 and IQ = 2
2. 2 โ 3, after that total score is 10 and IQ = 4
3. 3 โ 1, after that total score is 20 and IQ = 6
4. 1 โ 4, after that total score is 35 and IQ = 14
In the second test case optimal sequence of solving problems is as follows:
1. 1 โ 2, after that total score is 5 and IQ = 2
2. 2 โ 3, after that total score is 10 and IQ = 4
3. 3 โ 4, after that total score is 15 and IQ = 8
4. 4 โ 1, after that total score is 35 and IQ = 14
In the third test case optimal sequence of solving problems is as follows:
1. 1 โ 3, after that total score is 17 and IQ = 6
2. 3 โ 4, after that total score is 35 and IQ = 8
3. 4 โ 2, after that total score is 42 and IQ = 12 | instruction | 0 | 57,305 | 11 | 114,610 |
Tags: bitmasks, dp, graphs, number theory
Correct Solution:
```
"""
#If FastIO not needed, use this and don't forget to strip
#import sys, math
#input = sys.stdin.readline
"""
import os, sys, heapq as h, time
from io import BytesIO, IOBase
from types import GeneratorType
from bisect import bisect_left, bisect_right
from collections import defaultdict as dd, deque as dq, Counter as dc
import math, string
BUFSIZE = 8192
class FastIO(IOBase):
newlines = 0
def __init__(self, file):
import os
self.os = os
self._fd = file.fileno()
self.buffer = BytesIO()
self.writable = "x" in file.mode or "r" not in file.mode
self.write = self.buffer.write if self.writable else None
def read(self):
while True:
b = self.os.read(self._fd, max(self.os.fstat(self._fd).st_size, BUFSIZE))
if not b:
break
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines = 0
return self.buffer.read()
def readline(self):
while self.newlines == 0:
b = self.os.read(self._fd, max(self.os.fstat(self._fd).st_size, BUFSIZE))
self.newlines = b.count(b"\n") + (not b)
ptr = self.buffer.tell()
self.buffer.seek(0, 2), self.buffer.write(b), self.buffer.seek(ptr)
self.newlines -= 1
return self.buffer.readline()
def flush(self):
if self.writable:
self.os.write(self._fd, self.buffer.getvalue())
self.buffer.truncate(0), self.buffer.seek(0)
class IOWrapper(IOBase):
def __init__(self, file):
self.buffer = FastIO(file)
self.flush = self.buffer.flush
self.writable = self.buffer.writable
self.write = lambda s: self.buffer.write(s.encode("ascii"))
self.read = lambda: self.buffer.read().decode("ascii")
self.readline = lambda: self.buffer.readline().decode("ascii")
sys.stdin, sys.stdout = IOWrapper(sys.stdin), IOWrapper(sys.stdout)
input = lambda: sys.stdin.readline().rstrip("\r\n")
#start_time = time.time()
def getInt(): return int(input())
def getStrs(): return input().split()
def getInts(): return list(map(int,input().split()))
def getStr(): return input()
def listStr(): return list(input())
def getMat(n): return [getInts() for _ in range(n)]
def isInt(s): return '0' <= s[0] <= '9'
MOD = 10**9 + 7
"""
IQ < |ci - cj|
So the jump in problem must be > IQ
Eventually your IQ will exceed the biggest jump
Max number of goes I can have is 25
You must make a bigger leap each time
So, we're going to tour all edges in such a way that
I go forwards one edge at a time
I can go backwards to any point other than the one I've just visited, but I must then go further forwards
So I go backwards then forwards if both the following are true
1) I can
2) It's better to do so
I'm only going to have to stop at the last node, if reached from
Start at the bottom
While the colour is the same as the one above, move along with no score change
I can either go directly forward, or I can go forward via a back edge
dp[i][j] is the best I can do from node i having arrived from node j
dp[N][1] = 0
dp[N][2] = abs(SN-S1)
dp[N][3] = max(abs(SN-S2),abs(SN-S1))
etc
dp[N-1][1] = f(N-1,1) + dp[N][N-1]
dp[N-1][2] = max(f(N-1,1)+dp[1][N-1],f(N,N-1)+dp[N][N-1])
dp[N-1][3] = max(dp[N-1][2]
"""
def solve():
N = getInt()
tags = getInts()
S = getInts()
ans = 0
dp = [0]*N
for i in range(N):
for j in range(i-1,-1,-1):
if tags[i] != tags[j]:
tmp = dp[j]
dp[j] = max(dp[j], dp[i] + abs(S[j]-S[i]))
dp[i] = max(dp[i], tmp + abs(S[j]-S[i]))
return max(dp)
for _ in range(getInt()):
print(solve())
#solve()
#print(time.time()-start_time)
``` | output | 1 | 57,305 | 11 | 114,611 |
Provide tags and a correct Python 3 solution for this coding contest problem.
Please note the non-standard memory limit.
There are n problems numbered with integers from 1 to n. i-th problem has the complexity c_i = 2^i, tag tag_i and score s_i.
After solving the problem i it's allowed to solve problem j if and only if IQ < |c_i - c_j| and tag_i โ tag_j. After solving it your IQ changes and becomes IQ = |c_i - c_j| and you gain |s_i - s_j| points.
Any problem can be the first. You can solve problems in any order and as many times as you want.
Initially your IQ = 0. Find the maximum number of points that can be earned.
Input
The first line contains a single integer t (1 โค t โค 100) โ the number of test cases.
The first line of each test case contains an integer n (1 โค n โค 5000) โ the number of problems.
The second line of each test case contains n integers tag_1, tag_2, โฆ, tag_n (1 โค tag_i โค n) โ tags of the problems.
The third line of each test case contains n integers s_1, s_2, โฆ, s_n (1 โค s_i โค 10^9) โ scores of the problems.
It's guaranteed that sum of n over all test cases does not exceed 5000.
Output
For each test case print a single integer โ the maximum number of points that can be earned.
Example
Input
5
4
1 2 3 4
5 10 15 20
4
1 2 1 2
5 10 15 20
4
2 2 4 1
2 8 19 1
2
1 1
6 9
1
1
666
Output
35
30
42
0
0
Note
In the first test case optimal sequence of solving problems is as follows:
1. 1 โ 2, after that total score is 5 and IQ = 2
2. 2 โ 3, after that total score is 10 and IQ = 4
3. 3 โ 1, after that total score is 20 and IQ = 6
4. 1 โ 4, after that total score is 35 and IQ = 14
In the second test case optimal sequence of solving problems is as follows:
1. 1 โ 2, after that total score is 5 and IQ = 2
2. 2 โ 3, after that total score is 10 and IQ = 4
3. 3 โ 4, after that total score is 15 and IQ = 8
4. 4 โ 1, after that total score is 35 and IQ = 14
In the third test case optimal sequence of solving problems is as follows:
1. 1 โ 3, after that total score is 17 and IQ = 6
2. 3 โ 4, after that total score is 35 and IQ = 8
3. 4 โ 2, after that total score is 42 and IQ = 12 | instruction | 0 | 57,306 | 11 | 114,612 |
Tags: bitmasks, dp, graphs, number theory
Correct Solution:
```
import sys
input = sys.stdin.readline
t=int(input())
for tests in range(t):
n=int(input())
Tag=list(map(int,input().split()))
S=list(map(int,input().split()))
DP=[0]*n
ANS=0
for i in range(1,n):
MAX=0
for j in range(i-1,-1,-1):
temp=DP[j]
if Tag[j]!=Tag[i]:
DP[i]=max(DP[i],DP[j]+abs(S[i]-S[j]))
DP[j]=max(DP[j],MAX+abs(S[j]-S[i]))
MAX=max(MAX,temp+abs(S[i]-S[j]))
#print(DP)
print(max(DP))
``` | output | 1 | 57,306 | 11 | 114,613 |
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