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Provide a correct Python 3 solution for this coding contest problem. We have an integer sequence A of length N, where A_1 = X, A_{i+1} = A_i + D (1 \leq i < N ) holds. Takahashi will take some (possibly all or none) of the elements in this sequence, and Aoki will take all of the others. Let S and T be the sum of the numbers taken by Takahashi and Aoki, respectively. How many possible values of S - T are there? Constraints * -10^8 \leq X, D \leq 10^8 * 1 \leq N \leq 2 \times 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: N X D Output Print the number of possible values of S - T. Examples Input 3 4 2 Output 8 Input 2 3 -3 Output 2 Input 100 14 20 Output 49805
instruction
0
79,718
5
159,436
"Correct Solution: ``` N,X,D=map(int,input().split()) from collections import defaultdict as d r=N*(X!=0)+1 if D: f,c,r=d(int),d(int),0 for x,y,z in sorted(((N-k)*k*j+~-k*k//2+k*X//D,j,k*X%D)for k in range(N+1) for j in[0,1]): r+=(x-f[z]+1)*(c[z]<2)*y f[z]=x if(c[z]+y<1)else f[z] c[z]-=2*y-1 print(r) ```
output
1
79,718
5
159,437
Provide a correct Python 3 solution for this coding contest problem. We have an integer sequence A of length N, where A_1 = X, A_{i+1} = A_i + D (1 \leq i < N ) holds. Takahashi will take some (possibly all or none) of the elements in this sequence, and Aoki will take all of the others. Let S and T be the sum of the numbers taken by Takahashi and Aoki, respectively. How many possible values of S - T are there? Constraints * -10^8 \leq X, D \leq 10^8 * 1 \leq N \leq 2 \times 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: N X D Output Print the number of possible values of S - T. Examples Input 3 4 2 Output 8 Input 2 3 -3 Output 2 Input 100 14 20 Output 49805
instruction
0
79,719
5
159,438
"Correct Solution: ``` from fractions import gcd from collections import defaultdict N, X, D = map(int, input().split()) if D == 0: if X == 0: ans = 1 else: ans = N + 1 else: if D < 0: X = -X D = -D g = gcd(X, D) X //= g D //= g AN = X + D * (N - 1) intervals_dict = defaultdict(list) for k in range(N + 1): start = k * (2 * X + (k - 1) * D) // 2 end = k * (2 * AN - (k - 1) * D) // 2 intervals_dict[start % D].append((start // D, end // D + 1)) ans = 0 for k, v in intervals_dict.items(): v.sort() current_stop = -float("inf") for start, stop in v: ans += max(stop, current_stop) - max(start, current_stop) current_stop = max(current_stop, stop) print(ans) ```
output
1
79,719
5
159,439
Provide a correct Python 3 solution for this coding contest problem. We have an integer sequence A of length N, where A_1 = X, A_{i+1} = A_i + D (1 \leq i < N ) holds. Takahashi will take some (possibly all or none) of the elements in this sequence, and Aoki will take all of the others. Let S and T be the sum of the numbers taken by Takahashi and Aoki, respectively. How many possible values of S - T are there? Constraints * -10^8 \leq X, D \leq 10^8 * 1 \leq N \leq 2 \times 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: N X D Output Print the number of possible values of S - T. Examples Input 3 4 2 Output 8 Input 2 3 -3 Output 2 Input 100 14 20 Output 49805
instruction
0
79,720
5
159,440
"Correct Solution: ``` N,X,D=map(int,input().split()) from collections import defaultdict A=defaultdict(list) A[0].append([0,0]) MIN=0 MAX=0 if D==0: w=1 else: w=D for i in range(N): MIN+=X+D*i MAX+=X+D*(N-1-i) A[MIN%w].append(sorted([MIN,MAX])) D=abs(D) if D==0: if X==0: D=1 else: D=X ANS=0 for mod in A: B=A[mod] B.sort() C=[] for MIN,MAX in B: if C==[]: C.append((MIN,MAX)) x,y=C[-1] if y>=MIN: C[-1]=(x,max(y,MAX)) else: C.append((MIN,MAX)) for MIN,MAX in C: ANS+=(MAX-MIN)//D+1 print(ANS) ```
output
1
79,720
5
159,441
Provide a correct Python 3 solution for this coding contest problem. We have an integer sequence A of length N, where A_1 = X, A_{i+1} = A_i + D (1 \leq i < N ) holds. Takahashi will take some (possibly all or none) of the elements in this sequence, and Aoki will take all of the others. Let S and T be the sum of the numbers taken by Takahashi and Aoki, respectively. How many possible values of S - T are there? Constraints * -10^8 \leq X, D \leq 10^8 * 1 \leq N \leq 2 \times 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: N X D Output Print the number of possible values of S - T. Examples Input 3 4 2 Output 8 Input 2 3 -3 Output 2 Input 100 14 20 Output 49805
instruction
0
79,721
5
159,442
"Correct Solution: ``` import sys N,X,D = map(int,sys.stdin.readline().rstrip().split()) if D == 0: if X == 0: print(1) else: print(N+1) exit() from collections import defaultdict d = defaultdict(list) for a in range(N+1): d[(a*X)%D].append(((a*X-(a*X)%D)//D+a*(a-1)//2,1)) d[(a*X)%D].append(((a*X-(a*X)%D)//D+(N-1)*a-a*(a-1)//2+1,-1)) from itertools import accumulate ans = 0 for i in d.keys(): d[i].sort() l = len(d[i]) A = [d[i][j][0] for j in range(l)] B = [d[i][j][1] for j in range(l)] C = list(accumulate(B)) r,s = 0,0 for j in range(l): if s == 0: r = A[j] s = 1 elif C[j] == 0: ans += A[j]-r s = 0 print(ans) ```
output
1
79,721
5
159,443
Provide a correct Python 3 solution for this coding contest problem. We have an integer sequence A of length N, where A_1 = X, A_{i+1} = A_i + D (1 \leq i < N ) holds. Takahashi will take some (possibly all or none) of the elements in this sequence, and Aoki will take all of the others. Let S and T be the sum of the numbers taken by Takahashi and Aoki, respectively. How many possible values of S - T are there? Constraints * -10^8 \leq X, D \leq 10^8 * 1 \leq N \leq 2 \times 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: N X D Output Print the number of possible values of S - T. Examples Input 3 4 2 Output 8 Input 2 3 -3 Output 2 Input 100 14 20 Output 49805
instruction
0
79,722
5
159,444
"Correct Solution: ``` INF = 10**30 def solve(n, x, d): if d == 0: if x == 0: return 1 else: return n+1 D = {} for k in range(n+1): l = k*x + (k-1)*k//2*d r = k*x + (n*k - k*(k+1)//2)*d c = k*x % d if not c in D: D[c] = [] l = (l - c) // d r = (r - c) // d if l > r: l, r = r, l D[c].append((l, r)) res = 0 for v in D.values(): threshold = -INF for l, r in sorted(v): l = max(l, threshold) res += max(0, r-l+1) threshold = max(threshold, r+1) return res n, x, d = map(int, input().split()) print(solve(n, x, d)) ```
output
1
79,722
5
159,445
Provide a correct Python 3 solution for this coding contest problem. We have an integer sequence A of length N, where A_1 = X, A_{i+1} = A_i + D (1 \leq i < N ) holds. Takahashi will take some (possibly all or none) of the elements in this sequence, and Aoki will take all of the others. Let S and T be the sum of the numbers taken by Takahashi and Aoki, respectively. How many possible values of S - T are there? Constraints * -10^8 \leq X, D \leq 10^8 * 1 \leq N \leq 2 \times 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: N X D Output Print the number of possible values of S - T. Examples Input 3 4 2 Output 8 Input 2 3 -3 Output 2 Input 100 14 20 Output 49805
instruction
0
79,723
5
159,446
"Correct Solution: ``` import queue import math import copy """ N = int(input()) #S = input() # (N,M) = (int(i) for i in input().split(" ")) # A = [int(i) for i in input().split()] A = [] for i in range(N): A.append(int(input())) print(A) """ (N,X,D) = (int(i) for i in input().split(" ")) mp = {} if D == 0: if X == 0: ans = 1 else: ans = N+1 else: for i in range(N+1): md = (i*X)%D if not md in mp: mp[md] = [] k = i*(i-1)//2 mp[md].append([k+(((i*X)-md)//D),0]) k = (N*2-i-1)*i//2 mp[md].append([k+(((i*X)-md)//D)+1,1]) #print(mp) ans = 0 for k in mp.keys(): s = sorted(mp[k]) #print(s) md = 0 bef = 0 for t in s: if md > 0: ans += t[0] - bef bef = t[0] if t[1] == 0: md += 1 else: md -= 1 print(ans) ```
output
1
79,723
5
159,447
Provide a correct Python 3 solution for this coding contest problem. We have an integer sequence A of length N, where A_1 = X, A_{i+1} = A_i + D (1 \leq i < N ) holds. Takahashi will take some (possibly all or none) of the elements in this sequence, and Aoki will take all of the others. Let S and T be the sum of the numbers taken by Takahashi and Aoki, respectively. How many possible values of S - T are there? Constraints * -10^8 \leq X, D \leq 10^8 * 1 \leq N \leq 2 \times 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: N X D Output Print the number of possible values of S - T. Examples Input 3 4 2 Output 8 Input 2 3 -3 Output 2 Input 100 14 20 Output 49805
instruction
0
79,724
5
159,448
"Correct Solution: ``` n, x, d = map(int, input().split()) mp ={} #初項はマイナスの可能性あり if d == 0: if x == 0: print(1) else: print(n+1) exit() for i in range(n+1): a = i*x L = (i*(i-1)//2) #min = a + L*d #max = a + R*d R = (i*(2*n-i-1)//2) C = a//d # if L > R: # L, R = R, L #ディクショナリは定義されていない状態でappendできない if mp.get(a%d): mp[a%d].append([C+L, C+R]) else: mp[a%d] = [[C+L, C+R]] inf = float('inf') ans = 0 for j in mp: now = mp[j] now.sort() pl = -inf for l, r in now: # print('time:', j, 'l:', l, 'r:',r) if r <= pl: continue if l > pl: ans += r-l+1 else: ans += r-pl pl = r print(ans) ```
output
1
79,724
5
159,449
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have an integer sequence A of length N, where A_1 = X, A_{i+1} = A_i + D (1 \leq i < N ) holds. Takahashi will take some (possibly all or none) of the elements in this sequence, and Aoki will take all of the others. Let S and T be the sum of the numbers taken by Takahashi and Aoki, respectively. How many possible values of S - T are there? Constraints * -10^8 \leq X, D \leq 10^8 * 1 \leq N \leq 2 \times 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: N X D Output Print the number of possible values of S - T. Examples Input 3 4 2 Output 8 Input 2 3 -3 Output 2 Input 100 14 20 Output 49805 Submitted Solution: ``` from fractions import gcd def main(): def fmin(m): return X * m + D * m *(m - 1)//2 def fmax(m): return X * m + D * m * (2 * N - m - 1) // 2 N, X, D = map(int, input().split()) if D == 0: if X == 0: print(1) else: print(N + 1) exit(0) if D < 0: X, D = -X, -D if X == 0: print(fmax(N) // D + 1) else: ans = 0 g = gcd(-X, D) loop = D // g for d in range(N + 1): dmax = fmax(d) dmin = fmin(d) if d < loop: ans += (dmax - dmin) // D + 1 else: pmax = fmax(d - loop) pmin = fmin(d - loop) if pmax < dmax and pmin <= dmin: mmin = max(dmin, pmax + D) ans += (dmax - mmin) // D + 1 elif pmax >= dmax and pmin > dmin: mmax = min(dmax, pmin - D) ans += (mmax - dmin) // D + 1 elif pmax < dmax and pmin > dmin: ans += (dmax - pmax) // D + (pmin - dmin) // D print(ans) if __name__ == '__main__': main() ```
instruction
0
79,725
5
159,450
Yes
output
1
79,725
5
159,451
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have an integer sequence A of length N, where A_1 = X, A_{i+1} = A_i + D (1 \leq i < N ) holds. Takahashi will take some (possibly all or none) of the elements in this sequence, and Aoki will take all of the others. Let S and T be the sum of the numbers taken by Takahashi and Aoki, respectively. How many possible values of S - T are there? Constraints * -10^8 \leq X, D \leq 10^8 * 1 \leq N \leq 2 \times 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: N X D Output Print the number of possible values of S - T. Examples Input 3 4 2 Output 8 Input 2 3 -3 Output 2 Input 100 14 20 Output 49805 Submitted Solution: ``` import math,string,itertools,fractions,heapq,collections,re,array,bisect,sys,copy,functools import time,random sys.setrecursionlimit(10**7) inf = 10**20 eps = 1.0 / 10**10 mod = 10**9+7 dd = [(-1,0),(0,1),(1,0),(0,-1)] ddn = [(-1,0),(-1,1),(0,1),(1,1),(1,0),(1,-1),(0,-1),(-1,-1)] def LI(): return list(map(int, sys.stdin.readline().split())) def LLI(): return [list(map(int, l.split())) for l in sys.stdin.readlines()] def LI_(): return [int(x)-1 for x in sys.stdin.readline().split()] def LF(): return [float(x) for x in sys.stdin.readline().split()] def LS(): return sys.stdin.readline().split() def I(): return int(sys.stdin.readline()) def F(): return float(sys.stdin.readline()) def S(): return input() def pf(s): return print(s, flush=True) def pe(s): return print(str(s), file=sys.stderr) def JA(a, sep): return sep.join(map(str, a)) def JAA(a, s, t): return s.join(t.join(map(str, b)) for b in a) def main(): n,x,d = LI() if d == 0: if x == 0: return 1 return n + 1 c = collections.defaultdict(list) ad = n * (n-1) // 2 * d + x * n # print(ad) dd = abs(d)*2 for i in range(n+1): u = ad - (x * i + ((i-1) * i // 2) * d) * 2 k = ad - (x * i + ((n-1 + n-i) * i // 2) * d) * 2 # print("iku",i,k,u) if k > u: k,u = u,k c[k%dd].append((k,u)) r = 0 for k, v in c.items(): v.sort() # print(k,v) a,b = v[0] for t,u in v[1:]: if t <= b: if b < u: b = u else: r += (b-a) // dd + 1 # print("ab",a,b,(abs(b-a)+dd), dd,r) a,b = t,u r += (b-a) // dd + 1 return r print(main()) ```
instruction
0
79,726
5
159,452
Yes
output
1
79,726
5
159,453
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have an integer sequence A of length N, where A_1 = X, A_{i+1} = A_i + D (1 \leq i < N ) holds. Takahashi will take some (possibly all or none) of the elements in this sequence, and Aoki will take all of the others. Let S and T be the sum of the numbers taken by Takahashi and Aoki, respectively. How many possible values of S - T are there? Constraints * -10^8 \leq X, D \leq 10^8 * 1 \leq N \leq 2 \times 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: N X D Output Print the number of possible values of S - T. Examples Input 3 4 2 Output 8 Input 2 3 -3 Output 2 Input 100 14 20 Output 49805 Submitted Solution: ``` N, X, D = map(int, input().split()) if D == 0: r = N+1 if X == 0: r = 1 print(r) else: if D < 0: X, D = -X, -D d = dict() for k in range(N+1): M = (k*X) % D F = (k*X)//D + ((k-1)*k)//2 #(1..k-1) L = (k*X)//D + (2*N-k-1)*k//2# (N-k..N-1) if M not in d: d[M] = list() d[M].append((F, 0)) d[M].append((L, 1)) r = 0 for m in d: d[m] = sorted(d[m]) fc = 0 f = 0 for x in d[m]: if not x[1]: fc += 1 if fc == 1: f = x[0] if x[1]: fc -= 1 if fc == 0: r += x[0] - f + 1 print(r) ```
instruction
0
79,727
5
159,454
Yes
output
1
79,727
5
159,455
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have an integer sequence A of length N, where A_1 = X, A_{i+1} = A_i + D (1 \leq i < N ) holds. Takahashi will take some (possibly all or none) of the elements in this sequence, and Aoki will take all of the others. Let S and T be the sum of the numbers taken by Takahashi and Aoki, respectively. How many possible values of S - T are there? Constraints * -10^8 \leq X, D \leq 10^8 * 1 \leq N \leq 2 \times 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: N X D Output Print the number of possible values of S - T. Examples Input 3 4 2 Output 8 Input 2 3 -3 Output 2 Input 100 14 20 Output 49805 Submitted Solution: ``` from sys import stdin input = stdin.buffer.readline n, x, d = map(int, input().split()) if d == 0: if x == 0: print(1) else: print(n + 1) exit(0) m = {} for i in range(n + 1): t = i * x % d start = i * x // d l = (i - 1) * i // 2 r = (2 * n - i - 1) * i // 2 if m.get(t): m[t].append([start + l, start + r]) else: m[t] = [[start + l, start + r]] inf = float('inf') ans = 0 for x in m: now = m[x] now.sort() pl = -inf for l, r in now: if r <= pl: continue if l > pl: ans += r - l + 1 else: ans += r - pl pl = r print(ans) ```
instruction
0
79,728
5
159,456
Yes
output
1
79,728
5
159,457
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have an integer sequence A of length N, where A_1 = X, A_{i+1} = A_i + D (1 \leq i < N ) holds. Takahashi will take some (possibly all or none) of the elements in this sequence, and Aoki will take all of the others. Let S and T be the sum of the numbers taken by Takahashi and Aoki, respectively. How many possible values of S - T are there? Constraints * -10^8 \leq X, D \leq 10^8 * 1 \leq N \leq 2 \times 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: N X D Output Print the number of possible values of S - T. Examples Input 3 4 2 Output 8 Input 2 3 -3 Output 2 Input 100 14 20 Output 49805 Submitted Solution: ``` n,x,d=map(int,input().split()) inf=float("inf") data=[] for k in range(n+1): z=2*k-n w=(2*n-k-1)*k-n*(n-1)//2 y=(k-1)*k-n*(n-1)//2 num_1=z*x+d*w num_2=z*x+d*y if num_1<num_2: data.append([num_1%(2*d),num_1,num_2]) else: data.append([num_1%(2*d),num_2,num_1]) d=abs(d) data.sort() ans=(data[0][2]-data[0][1])//(2*d)+1 m=data[0][1] for i in range(1,n+1): if data[i][0]==data[i-1][0]: if data[i][1]>m: ans+=(data[i][2]-data[i][1])//(2*d)+1 else: if data[i][2]>m: ans+=(data[i][2]-m)//(2*d) m=max(m,data[i][2]) else: ans+=(data[i][2]-data[i][1])//(2*d)+1 m=data[i][2] print(ans) ```
instruction
0
79,729
5
159,458
No
output
1
79,729
5
159,459
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have an integer sequence A of length N, where A_1 = X, A_{i+1} = A_i + D (1 \leq i < N ) holds. Takahashi will take some (possibly all or none) of the elements in this sequence, and Aoki will take all of the others. Let S and T be the sum of the numbers taken by Takahashi and Aoki, respectively. How many possible values of S - T are there? Constraints * -10^8 \leq X, D \leq 10^8 * 1 \leq N \leq 2 \times 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: N X D Output Print the number of possible values of S - T. Examples Input 3 4 2 Output 8 Input 2 3 -3 Output 2 Input 100 14 20 Output 49805 Submitted Solution: ``` import sys input = lambda : sys.stdin.readline().rstrip() sys.setrecursionlimit(max(1000, 10**9)) write = lambda x: sys.stdout.write(x+"\n") n,x,d = list(map(int, input().split())) if d<0: x = x + d*(n-1) d *= -1 if d==0: ans = n else: D = {} # (要素数, 最大値) zz = False for i in range(n+1): # iX+sD if x!=0: ii = i*x % d jj = (i*x-ii)//d else: ii = 0 jj = 0 # print(ii,jj) if ii not in D: D[ii] = [0,None] nn, m = D[ii] num = ((2*n-1-i)*i//2 + jj) - max(i*(i-1)//2 + jj - 1, m if m is not None else -float("inf")) D[ii] = [D[ii][0]+num, (2*n-1-i)*i//2 + jj] # print(D) # if ii==0 and (2*n-1-i)*i//2 + jj >= 0 >= i*(i-1)//2 + jj: # zz = True ans = sum(v[0] for k,v in D.items() if v[1] is not None)# + (not zz) print(ans) ```
instruction
0
79,730
5
159,460
No
output
1
79,730
5
159,461
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have an integer sequence A of length N, where A_1 = X, A_{i+1} = A_i + D (1 \leq i < N ) holds. Takahashi will take some (possibly all or none) of the elements in this sequence, and Aoki will take all of the others. Let S and T be the sum of the numbers taken by Takahashi and Aoki, respectively. How many possible values of S - T are there? Constraints * -10^8 \leq X, D \leq 10^8 * 1 \leq N \leq 2 \times 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: N X D Output Print the number of possible values of S - T. Examples Input 3 4 2 Output 8 Input 2 3 -3 Output 2 Input 100 14 20 Output 49805 Submitted Solution: ``` LI = lambda: list(map(int, input().split())) N, X, D = LI() def sumeq(n): return n * (n + 1) // 2 def main(): d = {} for i in range(N + 1): a = i * X + sumeq(i - 1) * D b = sumeq(N - 1) - sumeq(N - i - 1) - sumeq(i - 1) v = (a - a % D) // D if a % D in d: d[a % D].append((v, b)) else: d[a % D] = [(v, b)] ans = 0 for w in d.values(): w.sort() ans += w[0][1] + 1 x = w[0][0] + w[0][1] n = len(w) for i in range(1, n): r = w[i][0] + w[i][1] if x < w[i][0]: ans += w[i][1] + 1 elif x < r: ans += r - x x = max(x, r) print(ans) if __name__ == "__main__": main() ```
instruction
0
79,731
5
159,462
No
output
1
79,731
5
159,463
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. We have an integer sequence A of length N, where A_1 = X, A_{i+1} = A_i + D (1 \leq i < N ) holds. Takahashi will take some (possibly all or none) of the elements in this sequence, and Aoki will take all of the others. Let S and T be the sum of the numbers taken by Takahashi and Aoki, respectively. How many possible values of S - T are there? Constraints * -10^8 \leq X, D \leq 10^8 * 1 \leq N \leq 2 \times 10^5 * All values in input are integers. Input Input is given from Standard Input in the following format: N X D Output Print the number of possible values of S - T. Examples Input 3 4 2 Output 8 Input 2 3 -3 Output 2 Input 100 14 20 Output 49805 Submitted Solution: ``` import fractions N,X,D = map(int,input().split()) """ X+0D X+1D X+2D ... X+(N-1)D からとってくる aX + bD aX中にlcmがtこあるとき、 newa = (aX-t*lcm) // X = a - t*lcm//X newl += lcm*t // D で、aX > lcm(X,D)だったらaをへらして?の範囲をうしろにずらす 各aについて計算量はO(1) 3,4,2のとき 4 6 8 lcm = 4 0,4,6,8,10,12,14,18 XD両方負だと問題なし Dが負の時 >> 大事なのは aXを変換できるならDにする>aを減らす ?X > !Dにする X D 3 -3 X + 0D = 3 X + 1D = 0 0X = 0 1X + lcm = 3 なので,0は X+-1Dに変換可能 """ l = [ [] for i in range(N+1)] r = [ [] for i in range(N+1)] lcm = X*D // fractions.gcd(X,D) bl = 0 br = 0 for a in range(N+1): if a > 0: bl += a-1 br += N-a #print (bl,br) t = (a*X) // lcm #print (a,t*lcm//X) a -= t*lcm // X l[a] .append(bl + lcm*t // D) r[a] .append(br + lcm*t // D) ans = 0 for a in range(N+1): now = 0 nl = 0 lind = 0 rind = 0 l[a].sort() r[a].sort() for i in range(2 * len(l[a])): if rind == len(r[a]) or (lind != len(l[a]) and l[a][lind] <= r[a][rind]): if now == 0: nl = l[a][lind] now += 1 lind += 1 else: now -= 1 if now == 0: ans += r[a][rind] - nl + 1 rind += 1 #print (l) #print (r) print (ans) ```
instruction
0
79,732
5
159,464
No
output
1
79,732
5
159,465
Provide a correct Python 3 solution for this coding contest problem. You are given integers A and B, each between 1 and 3 (inclusive). Determine if there is an integer C between 1 and 3 (inclusive) such that A \times B \times C is an odd number. Constraints * All values in input are integers. * 1 \leq A, B \leq 3 Input Input is given from Standard Input in the following format: A B Output If there is an integer C between 1 and 3 that satisfies the condition, print `Yes`; otherwise, print `No`. Examples Input 3 1 Output Yes Input 1 2 Output No Input 2 2 Output No
instruction
0
79,749
5
159,498
"Correct Solution: ``` A,B = map(int, input().split()) print('No' if A*B%2 < 1 else 'Yes') ```
output
1
79,749
5
159,499
Provide a correct Python 3 solution for this coding contest problem. You are given integers A and B, each between 1 and 3 (inclusive). Determine if there is an integer C between 1 and 3 (inclusive) such that A \times B \times C is an odd number. Constraints * All values in input are integers. * 1 \leq A, B \leq 3 Input Input is given from Standard Input in the following format: A B Output If there is an integer C between 1 and 3 that satisfies the condition, print `Yes`; otherwise, print `No`. Examples Input 3 1 Output Yes Input 1 2 Output No Input 2 2 Output No
instruction
0
79,750
5
159,500
"Correct Solution: ``` A, B = map(int, input().split()) print('Yes' if A % 2 and B % 2 else 'No') ```
output
1
79,750
5
159,501
Provide a correct Python 3 solution for this coding contest problem. You are given integers A and B, each between 1 and 3 (inclusive). Determine if there is an integer C between 1 and 3 (inclusive) such that A \times B \times C is an odd number. Constraints * All values in input are integers. * 1 \leq A, B \leq 3 Input Input is given from Standard Input in the following format: A B Output If there is an integer C between 1 and 3 that satisfies the condition, print `Yes`; otherwise, print `No`. Examples Input 3 1 Output Yes Input 1 2 Output No Input 2 2 Output No
instruction
0
79,751
5
159,502
"Correct Solution: ``` a,b=map(int,input().split());print("YNeos"[a*b%2==0::2]) ```
output
1
79,751
5
159,503
Provide a correct Python 3 solution for this coding contest problem. You are given integers A and B, each between 1 and 3 (inclusive). Determine if there is an integer C between 1 and 3 (inclusive) such that A \times B \times C is an odd number. Constraints * All values in input are integers. * 1 \leq A, B \leq 3 Input Input is given from Standard Input in the following format: A B Output If there is an integer C between 1 and 3 that satisfies the condition, print `Yes`; otherwise, print `No`. Examples Input 3 1 Output Yes Input 1 2 Output No Input 2 2 Output No
instruction
0
79,752
5
159,504
"Correct Solution: ``` a,b=map(int,input().split()) print('Yes' if a*b%2!=0 else 'No') ```
output
1
79,752
5
159,505
Provide a correct Python 3 solution for this coding contest problem. You are given integers A and B, each between 1 and 3 (inclusive). Determine if there is an integer C between 1 and 3 (inclusive) such that A \times B \times C is an odd number. Constraints * All values in input are integers. * 1 \leq A, B \leq 3 Input Input is given from Standard Input in the following format: A B Output If there is an integer C between 1 and 3 that satisfies the condition, print `Yes`; otherwise, print `No`. Examples Input 3 1 Output Yes Input 1 2 Output No Input 2 2 Output No
instruction
0
79,753
5
159,506
"Correct Solution: ``` a,b=map(int, input().split()) if a*b%2==1: print('Yes') else: print('No') ```
output
1
79,753
5
159,507
Provide a correct Python 3 solution for this coding contest problem. You are given integers A and B, each between 1 and 3 (inclusive). Determine if there is an integer C between 1 and 3 (inclusive) such that A \times B \times C is an odd number. Constraints * All values in input are integers. * 1 \leq A, B \leq 3 Input Input is given from Standard Input in the following format: A B Output If there is an integer C between 1 and 3 that satisfies the condition, print `Yes`; otherwise, print `No`. Examples Input 3 1 Output Yes Input 1 2 Output No Input 2 2 Output No
instruction
0
79,754
5
159,508
"Correct Solution: ``` print('No' if '2' in input() else 'Yes') ```
output
1
79,754
5
159,509
Provide a correct Python 3 solution for this coding contest problem. You are given integers A and B, each between 1 and 3 (inclusive). Determine if there is an integer C between 1 and 3 (inclusive) such that A \times B \times C is an odd number. Constraints * All values in input are integers. * 1 \leq A, B \leq 3 Input Input is given from Standard Input in the following format: A B Output If there is an integer C between 1 and 3 that satisfies the condition, print `Yes`; otherwise, print `No`. Examples Input 3 1 Output Yes Input 1 2 Output No Input 2 2 Output No
instruction
0
79,755
5
159,510
"Correct Solution: ``` a,b=map(int, input().split()) print("NYoe s"[a*b%2::2]) ```
output
1
79,755
5
159,511
Provide a correct Python 3 solution for this coding contest problem. You are given integers A and B, each between 1 and 3 (inclusive). Determine if there is an integer C between 1 and 3 (inclusive) such that A \times B \times C is an odd number. Constraints * All values in input are integers. * 1 \leq A, B \leq 3 Input Input is given from Standard Input in the following format: A B Output If there is an integer C between 1 and 3 that satisfies the condition, print `Yes`; otherwise, print `No`. Examples Input 3 1 Output Yes Input 1 2 Output No Input 2 2 Output No
instruction
0
79,756
5
159,512
"Correct Solution: ``` a,b = map(int,input().split()) print('No' if a%2==0 or b%2==0 else "Yes") ```
output
1
79,756
5
159,513
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given integers A and B, each between 1 and 3 (inclusive). Determine if there is an integer C between 1 and 3 (inclusive) such that A \times B \times C is an odd number. Constraints * All values in input are integers. * 1 \leq A, B \leq 3 Input Input is given from Standard Input in the following format: A B Output If there is an integer C between 1 and 3 that satisfies the condition, print `Yes`; otherwise, print `No`. Examples Input 3 1 Output Yes Input 1 2 Output No Input 2 2 Output No Submitted Solution: ``` a,b=map(int,input().split());print('YNeos'[a*b%2==0::2]) ```
instruction
0
79,757
5
159,514
Yes
output
1
79,757
5
159,515
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given integers A and B, each between 1 and 3 (inclusive). Determine if there is an integer C between 1 and 3 (inclusive) such that A \times B \times C is an odd number. Constraints * All values in input are integers. * 1 \leq A, B \leq 3 Input Input is given from Standard Input in the following format: A B Output If there is an integer C between 1 and 3 that satisfies the condition, print `Yes`; otherwise, print `No`. Examples Input 3 1 Output Yes Input 1 2 Output No Input 2 2 Output No Submitted Solution: ``` print("YNeos"[eval(input().replace(" ","*"))%2==0::2]) ```
instruction
0
79,758
5
159,516
Yes
output
1
79,758
5
159,517
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given integers A and B, each between 1 and 3 (inclusive). Determine if there is an integer C between 1 and 3 (inclusive) such that A \times B \times C is an odd number. Constraints * All values in input are integers. * 1 \leq A, B \leq 3 Input Input is given from Standard Input in the following format: A B Output If there is an integer C between 1 and 3 that satisfies the condition, print `Yes`; otherwise, print `No`. Examples Input 3 1 Output Yes Input 1 2 Output No Input 2 2 Output No Submitted Solution: ``` a,b = map(int,input().split()) print('No'if a*b%2 == 0 else 'Yes') ```
instruction
0
79,759
5
159,518
Yes
output
1
79,759
5
159,519
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given integers A and B, each between 1 and 3 (inclusive). Determine if there is an integer C between 1 and 3 (inclusive) such that A \times B \times C is an odd number. Constraints * All values in input are integers. * 1 \leq A, B \leq 3 Input Input is given from Standard Input in the following format: A B Output If there is an integer C between 1 and 3 that satisfies the condition, print `Yes`; otherwise, print `No`. Examples Input 3 1 Output Yes Input 1 2 Output No Input 2 2 Output No Submitted Solution: ``` a,b=map(int,input().split()) print('Yes' if (a%2)!=0 and (b%2)!=0 else 'No') ```
instruction
0
79,760
5
159,520
Yes
output
1
79,760
5
159,521
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given integers A and B, each between 1 and 3 (inclusive). Determine if there is an integer C between 1 and 3 (inclusive) such that A \times B \times C is an odd number. Constraints * All values in input are integers. * 1 \leq A, B \leq 3 Input Input is given from Standard Input in the following format: A B Output If there is an integer C between 1 and 3 that satisfies the condition, print `Yes`; otherwise, print `No`. Examples Input 3 1 Output Yes Input 1 2 Output No Input 2 2 Output No Submitted Solution: ``` a,b = map(int,input().split()) print('Yes') if (a+b)%2!=1 else print('No') ```
instruction
0
79,761
5
159,522
No
output
1
79,761
5
159,523
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given integers A and B, each between 1 and 3 (inclusive). Determine if there is an integer C between 1 and 3 (inclusive) such that A \times B \times C is an odd number. Constraints * All values in input are integers. * 1 \leq A, B \leq 3 Input Input is given from Standard Input in the following format: A B Output If there is an integer C between 1 and 3 that satisfies the condition, print `Yes`; otherwise, print `No`. Examples Input 3 1 Output Yes Input 1 2 Output No Input 2 2 Output No Submitted Solution: ``` a,b=map(int,input().split()) if (a*b)%2==0 : print('Yes') else : print('No') ```
instruction
0
79,762
5
159,524
No
output
1
79,762
5
159,525
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given integers A and B, each between 1 and 3 (inclusive). Determine if there is an integer C between 1 and 3 (inclusive) such that A \times B \times C is an odd number. Constraints * All values in input are integers. * 1 \leq A, B \leq 3 Input Input is given from Standard Input in the following format: A B Output If there is an integer C between 1 and 3 that satisfies the condition, print `Yes`; otherwise, print `No`. Examples Input 3 1 Output Yes Input 1 2 Output No Input 2 2 Output No Submitted Solution: ``` if int(input())%2 == 1 and int(input())%2 == 1: print("Yes") else: print("No") ```
instruction
0
79,763
5
159,526
No
output
1
79,763
5
159,527
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. You are given integers A and B, each between 1 and 3 (inclusive). Determine if there is an integer C between 1 and 3 (inclusive) such that A \times B \times C is an odd number. Constraints * All values in input are integers. * 1 \leq A, B \leq 3 Input Input is given from Standard Input in the following format: A B Output If there is an integer C between 1 and 3 that satisfies the condition, print `Yes`; otherwise, print `No`. Examples Input 3 1 Output Yes Input 1 2 Output No Input 2 2 Output No Submitted Solution: ``` A,B = map(int,input().split()) C = [1,2,3] for i in C: if A*B*C % 2 == 1: print("Yes") exit() print("No") ```
instruction
0
79,764
5
159,528
No
output
1
79,764
5
159,529
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Find the number of palindromic numbers among the integers between A and B (inclusive). Here, a palindromic number is a positive integer whose string representation in base 10 (without leading zeros) reads the same forward and backward. Constraints * 10000 \leq A \leq B \leq 99999 * All input values are integers. Input Input is given from Standard Input in the following format: A B Output Print the number of palindromic numbers among the integers between A and B (inclusive). Examples Input 11009 11332 Output 4 Input 31415 92653 Output 612 Submitted Solution: ``` a, b = [int(x) for x in input().split()] print(sum([1 for i in range(a, b + 1) if i == int(str(i)[::-1])])) ```
instruction
0
79,773
5
159,546
Yes
output
1
79,773
5
159,547
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Find the number of palindromic numbers among the integers between A and B (inclusive). Here, a palindromic number is a positive integer whose string representation in base 10 (without leading zeros) reads the same forward and backward. Constraints * 10000 \leq A \leq B \leq 99999 * All input values are integers. Input Input is given from Standard Input in the following format: A B Output Print the number of palindromic numbers among the integers between A and B (inclusive). Examples Input 11009 11332 Output 4 Input 31415 92653 Output 612 Submitted Solution: ``` a, b = map(int, input().split()) print(len([i for i in map(str, range(a, b+1)) if i == i[::-1]])) ```
instruction
0
79,774
5
159,548
Yes
output
1
79,774
5
159,549
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Find the number of palindromic numbers among the integers between A and B (inclusive). Here, a palindromic number is a positive integer whose string representation in base 10 (without leading zeros) reads the same forward and backward. Constraints * 10000 \leq A \leq B \leq 99999 * All input values are integers. Input Input is given from Standard Input in the following format: A B Output Print the number of palindromic numbers among the integers between A and B (inclusive). Examples Input 11009 11332 Output 4 Input 31415 92653 Output 612 Submitted Solution: ``` a, b = map(int, input().split()) print(len([i for i in range(a, b+1, 1) if str(i) == str(i)[::-1]])) ```
instruction
0
79,775
5
159,550
Yes
output
1
79,775
5
159,551
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Find the number of palindromic numbers among the integers between A and B (inclusive). Here, a palindromic number is a positive integer whose string representation in base 10 (without leading zeros) reads the same forward and backward. Constraints * 10000 \leq A \leq B \leq 99999 * All input values are integers. Input Input is given from Standard Input in the following format: A B Output Print the number of palindromic numbers among the integers between A and B (inclusive). Examples Input 11009 11332 Output 4 Input 31415 92653 Output 612 Submitted Solution: ``` # -*- coding: utf-8 -*- # input A, B = map(int, input().split()) # solve ans = 0 for i in range(A, B + 1): if str(i)[:2] == str(i)[3:]: ans += 1 # output print(ans) ```
instruction
0
79,779
5
159,558
No
output
1
79,779
5
159,559
Provide a correct Python 3 solution for this coding contest problem. There is a data which provides heights (in meter) of mountains. The data is only for ten mountains. Write a program which prints heights of the top three mountains in descending order. Constraints 0 ≤ height of mountain (integer) ≤ 10,000 Input Height of mountain 1 Height of mountain 2 Height of mountain 3 . . Height of mountain 10 Output Height of the 1st mountain Height of the 2nd mountain Height of the 3rd mountain Examples Input 1819 2003 876 2840 1723 1673 3776 2848 1592 922 Output 3776 2848 2840 Input 100 200 300 400 500 600 700 800 900 900 Output 900 900 800
instruction
0
79,819
5
159,638
"Correct Solution: ``` a=[int(input()) for i in range(10)] a.sort() print(a[9]) print(a[8]) print(a[7]) ```
output
1
79,819
5
159,639
Provide a correct Python 3 solution for this coding contest problem. There is a data which provides heights (in meter) of mountains. The data is only for ten mountains. Write a program which prints heights of the top three mountains in descending order. Constraints 0 ≤ height of mountain (integer) ≤ 10,000 Input Height of mountain 1 Height of mountain 2 Height of mountain 3 . . Height of mountain 10 Output Height of the 1st mountain Height of the 2nd mountain Height of the 3rd mountain Examples Input 1819 2003 876 2840 1723 1673 3776 2848 1592 922 Output 3776 2848 2840 Input 100 200 300 400 500 600 700 800 900 900 Output 900 900 800
instruction
0
79,820
5
159,640
"Correct Solution: ``` print(*sorted([int(input())for _ in range(10)])[:6:-1],sep='\n') ```
output
1
79,820
5
159,641
Provide a correct Python 3 solution for this coding contest problem. There is a data which provides heights (in meter) of mountains. The data is only for ten mountains. Write a program which prints heights of the top three mountains in descending order. Constraints 0 ≤ height of mountain (integer) ≤ 10,000 Input Height of mountain 1 Height of mountain 2 Height of mountain 3 . . Height of mountain 10 Output Height of the 1st mountain Height of the 2nd mountain Height of the 3rd mountain Examples Input 1819 2003 876 2840 1723 1673 3776 2848 1592 922 Output 3776 2848 2840 Input 100 200 300 400 500 600 700 800 900 900 Output 900 900 800
instruction
0
79,821
5
159,642
"Correct Solution: ``` x=[int(input()) for i in range(10)] x.sort() print('{}\n{}\n{}' . format(x[9],x[8],x[7])) ```
output
1
79,821
5
159,643
Provide a correct Python 3 solution for this coding contest problem. There is a data which provides heights (in meter) of mountains. The data is only for ten mountains. Write a program which prints heights of the top three mountains in descending order. Constraints 0 ≤ height of mountain (integer) ≤ 10,000 Input Height of mountain 1 Height of mountain 2 Height of mountain 3 . . Height of mountain 10 Output Height of the 1st mountain Height of the 2nd mountain Height of the 3rd mountain Examples Input 1819 2003 876 2840 1723 1673 3776 2848 1592 922 Output 3776 2848 2840 Input 100 200 300 400 500 600 700 800 900 900 Output 900 900 800
instruction
0
79,823
5
159,646
"Correct Solution: ``` a=[] for i in range(10): x=int(input()) a.append(x) a.sort() print(a[9]) print(a[8]) print(a[7]) ```
output
1
79,823
5
159,647
Provide a correct Python 3 solution for this coding contest problem. There is a data which provides heights (in meter) of mountains. The data is only for ten mountains. Write a program which prints heights of the top three mountains in descending order. Constraints 0 ≤ height of mountain (integer) ≤ 10,000 Input Height of mountain 1 Height of mountain 2 Height of mountain 3 . . Height of mountain 10 Output Height of the 1st mountain Height of the 2nd mountain Height of the 3rd mountain Examples Input 1819 2003 876 2840 1723 1673 3776 2848 1592 922 Output 3776 2848 2840 Input 100 200 300 400 500 600 700 800 900 900 Output 900 900 800
instruction
0
79,824
5
159,648
"Correct Solution: ``` print("\n".join(map(str,sorted(int(input()) for x in range(10))[:-4:-1]))) ```
output
1
79,824
5
159,649
Provide a correct Python 3 solution for this coding contest problem. There is a data which provides heights (in meter) of mountains. The data is only for ten mountains. Write a program which prints heights of the top three mountains in descending order. Constraints 0 ≤ height of mountain (integer) ≤ 10,000 Input Height of mountain 1 Height of mountain 2 Height of mountain 3 . . Height of mountain 10 Output Height of the 1st mountain Height of the 2nd mountain Height of the 3rd mountain Examples Input 1819 2003 876 2840 1723 1673 3776 2848 1592 922 Output 3776 2848 2840 Input 100 200 300 400 500 600 700 800 900 900 Output 900 900 800
instruction
0
79,826
5
159,652
"Correct Solution: ``` print(*sorted([int(input()) for _ in [0]*10])[:6:-1], sep="\n") ```
output
1
79,826
5
159,653
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a data which provides heights (in meter) of mountains. The data is only for ten mountains. Write a program which prints heights of the top three mountains in descending order. Constraints 0 ≤ height of mountain (integer) ≤ 10,000 Input Height of mountain 1 Height of mountain 2 Height of mountain 3 . . Height of mountain 10 Output Height of the 1st mountain Height of the 2nd mountain Height of the 3rd mountain Examples Input 1819 2003 876 2840 1723 1673 3776 2848 1592 922 Output 3776 2848 2840 Input 100 200 300 400 500 600 700 800 900 900 Output 900 900 800 Submitted Solution: ``` x=[] for i in range(10): s=int(input()) x.append(int(s)) y=sorted(x) print(y[9]) print(y[8]) print(y[7]) ```
instruction
0
79,827
5
159,654
Yes
output
1
79,827
5
159,655
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a data which provides heights (in meter) of mountains. The data is only for ten mountains. Write a program which prints heights of the top three mountains in descending order. Constraints 0 ≤ height of mountain (integer) ≤ 10,000 Input Height of mountain 1 Height of mountain 2 Height of mountain 3 . . Height of mountain 10 Output Height of the 1st mountain Height of the 2nd mountain Height of the 3rd mountain Examples Input 1819 2003 876 2840 1723 1673 3776 2848 1592 922 Output 3776 2848 2840 Input 100 200 300 400 500 600 700 800 900 900 Output 900 900 800 Submitted Solution: ``` import sys a = [] for i in range(10): a.append(int(input())) a.sort() print(a[9]) print(a[8]) print(a[7]) ```
instruction
0
79,828
5
159,656
Yes
output
1
79,828
5
159,657
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a data which provides heights (in meter) of mountains. The data is only for ten mountains. Write a program which prints heights of the top three mountains in descending order. Constraints 0 ≤ height of mountain (integer) ≤ 10,000 Input Height of mountain 1 Height of mountain 2 Height of mountain 3 . . Height of mountain 10 Output Height of the 1st mountain Height of the 2nd mountain Height of the 3rd mountain Examples Input 1819 2003 876 2840 1723 1673 3776 2848 1592 922 Output 3776 2848 2840 Input 100 200 300 400 500 600 700 800 900 900 Output 900 900 800 Submitted Solution: ``` num = [] for i in range(10): num.append(int(input())) num.sort() print(num[9]) print(num[8]) print(num[7]) ```
instruction
0
79,829
5
159,658
Yes
output
1
79,829
5
159,659
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a data which provides heights (in meter) of mountains. The data is only for ten mountains. Write a program which prints heights of the top three mountains in descending order. Constraints 0 ≤ height of mountain (integer) ≤ 10,000 Input Height of mountain 1 Height of mountain 2 Height of mountain 3 . . Height of mountain 10 Output Height of the 1st mountain Height of the 2nd mountain Height of the 3rd mountain Examples Input 1819 2003 876 2840 1723 1673 3776 2848 1592 922 Output 3776 2848 2840 Input 100 200 300 400 500 600 700 800 900 900 Output 900 900 800 Submitted Solution: ``` a=[] for i in range(10): a.append(int(input())) a.sort() a.reverse() print(a[0]) print(a[1]) print(a[2]) ```
instruction
0
79,830
5
159,660
Yes
output
1
79,830
5
159,661
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a data which provides heights (in meter) of mountains. The data is only for ten mountains. Write a program which prints heights of the top three mountains in descending order. Constraints 0 ≤ height of mountain (integer) ≤ 10,000 Input Height of mountain 1 Height of mountain 2 Height of mountain 3 . . Height of mountain 10 Output Height of the 1st mountain Height of the 2nd mountain Height of the 3rd mountain Examples Input 1819 2003 876 2840 1723 1673 3776 2848 1592 922 Output 3776 2848 2840 Input 100 200 300 400 500 600 700 800 900 900 Output 900 900 800 Submitted Solution: ``` mountain = [] for _ in range(10): mountain.append(int(input())) mountain.sort() mountain.reverse() print(mountain[0], mountain[1], mountain[2]) ```
instruction
0
79,831
5
159,662
No
output
1
79,831
5
159,663
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a data which provides heights (in meter) of mountains. The data is only for ten mountains. Write a program which prints heights of the top three mountains in descending order. Constraints 0 ≤ height of mountain (integer) ≤ 10,000 Input Height of mountain 1 Height of mountain 2 Height of mountain 3 . . Height of mountain 10 Output Height of the 1st mountain Height of the 2nd mountain Height of the 3rd mountain Examples Input 1819 2003 876 2840 1723 1673 3776 2848 1592 922 Output 3776 2848 2840 Input 100 200 300 400 500 600 700 800 900 900 Output 900 900 800 Submitted Solution: ``` def main(): number = [] for i in range(10): num = int(input()) number.append(num) numbers = number.sorted(number) print(numbers[9]) print(numbers[8]) print(numbers[7]) if __name__=='__main__': main() ```
instruction
0
79,832
5
159,664
No
output
1
79,832
5
159,665
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a data which provides heights (in meter) of mountains. The data is only for ten mountains. Write a program which prints heights of the top three mountains in descending order. Constraints 0 ≤ height of mountain (integer) ≤ 10,000 Input Height of mountain 1 Height of mountain 2 Height of mountain 3 . . Height of mountain 10 Output Height of the 1st mountain Height of the 2nd mountain Height of the 3rd mountain Examples Input 1819 2003 876 2840 1723 1673 3776 2848 1592 922 Output 3776 2848 2840 Input 100 200 300 400 500 600 700 800 900 900 Output 900 900 800 Submitted Solution: ``` m = [] for i in range(0, 10): m.append(input()) m.sort(reverse=True) for i in range(0, 3): print(m[i]) ```
instruction
0
79,833
5
159,666
No
output
1
79,833
5
159,667
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There is a data which provides heights (in meter) of mountains. The data is only for ten mountains. Write a program which prints heights of the top three mountains in descending order. Constraints 0 ≤ height of mountain (integer) ≤ 10,000 Input Height of mountain 1 Height of mountain 2 Height of mountain 3 . . Height of mountain 10 Output Height of the 1st mountain Height of the 2nd mountain Height of the 3rd mountain Examples Input 1819 2003 876 2840 1723 1673 3776 2848 1592 922 Output 3776 2848 2840 Input 100 200 300 400 500 600 700 800 900 900 Output 900 900 800 Submitted Solution: ``` mountain=[] for i in range(10): mountain[i]=int(input()) mountain.sort(::-1) for i in range(3): print(mountain[i]) ```
instruction
0
79,834
5
159,668
No
output
1
79,834
5
159,669
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Try guessing the statement from this picture <http://tiny.cc/ogyoiz>. You are given two integers A and B, calculate the number of pairs (a, b) such that 1 ≤ a ≤ A, 1 ≤ b ≤ B, and the equation a ⋅ b + a + b = conc(a, b) is true; conc(a, b) is the concatenation of a and b (for example, conc(12, 23) = 1223, conc(100, 11) = 10011). a and b should not contain leading zeroes. Input The first line contains t (1 ≤ t ≤ 100) — the number of test cases. Each test case contains two integers A and B (1 ≤ A, B ≤ 10^9). Output Print one integer — the number of pairs (a, b) such that 1 ≤ a ≤ A, 1 ≤ b ≤ B, and the equation a ⋅ b + a + b = conc(a, b) is true. Example Input 3 1 11 4 2 191 31415926 Output 1 0 1337 Note There is only one suitable pair in the first test case: a = 1, b = 9 (1 + 9 + 1 ⋅ 9 = 19). Submitted Solution: ``` t = int(input()) for i in range(t): a,b = input().split() a,b = int(a),int(b) print(a * (len( str(b+1) )-1) ) ```
instruction
0
80,063
5
160,126
Yes
output
1
80,063
5
160,127