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Provide a correct Python 3 solution for this coding contest problem. Snuke has an integer sequence, a, of length N. The i-th element of a (1-indexed) is a_{i}. He can perform the following operation any number of times: * Operation: Choose integers x and y between 1 and N (inclusive), and add a_x to a_y. He would...
instruction
0
105,984
16
211,968
"Correct Solution: ``` N,*A=map(int,open(0).read().split()) M = max(A); m = min(A) ans = [] if -m < M: idx = A.index(M) for i in range(N): A[i] += A[idx] ans.append((idx, i)) for i in range(1, N): A[i] += A[i-1] ans.append((i-1, i)) else: idx = A.index(m) for i in ran...
output
1
105,984
16
211,969
Provide a correct Python 3 solution for this coding contest problem. Snuke has an integer sequence, a, of length N. The i-th element of a (1-indexed) is a_{i}. He can perform the following operation any number of times: * Operation: Choose integers x and y between 1 and N (inclusive), and add a_x to a_y. He would...
instruction
0
105,985
16
211,970
"Correct Solution: ``` n = int(input()) a = list(map(int,input().split())) maxabs =(a[0]) maxidx = 0 for i in range(n): if abs(a[i]) >abs(maxabs): maxabs = a[i] maxidx = i res = [] for i in range(n): if a[i]*maxabs<0: a[i] += maxabs res.append((maxidx+1,i+1)) if maxabs>0: ...
output
1
105,985
16
211,971
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has an integer sequence, a, of length N. The i-th element of a (1-indexed) is a_{i}. He can perform the following operation any number of times: * Operation: Choose integers x and y betw...
instruction
0
105,986
16
211,972
Yes
output
1
105,986
16
211,973
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has an integer sequence, a, of length N. The i-th element of a (1-indexed) is a_{i}. He can perform the following operation any number of times: * Operation: Choose integers x and y betw...
instruction
0
105,987
16
211,974
Yes
output
1
105,987
16
211,975
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has an integer sequence, a, of length N. The i-th element of a (1-indexed) is a_{i}. He can perform the following operation any number of times: * Operation: Choose integers x and y betw...
instruction
0
105,988
16
211,976
Yes
output
1
105,988
16
211,977
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has an integer sequence, a, of length N. The i-th element of a (1-indexed) is a_{i}. He can perform the following operation any number of times: * Operation: Choose integers x and y betw...
instruction
0
105,989
16
211,978
Yes
output
1
105,989
16
211,979
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has an integer sequence, a, of length N. The i-th element of a (1-indexed) is a_{i}. He can perform the following operation any number of times: * Operation: Choose integers x and y betw...
instruction
0
105,990
16
211,980
No
output
1
105,990
16
211,981
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has an integer sequence, a, of length N. The i-th element of a (1-indexed) is a_{i}. He can perform the following operation any number of times: * Operation: Choose integers x and y betw...
instruction
0
105,991
16
211,982
No
output
1
105,991
16
211,983
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has an integer sequence, a, of length N. The i-th element of a (1-indexed) is a_{i}. He can perform the following operation any number of times: * Operation: Choose integers x and y betw...
instruction
0
105,992
16
211,984
No
output
1
105,992
16
211,985
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has an integer sequence, a, of length N. The i-th element of a (1-indexed) is a_{i}. He can perform the following operation any number of times: * Operation: Choose integers x and y betw...
instruction
0
105,993
16
211,986
No
output
1
105,993
16
211,987
Provide a correct Python 3 solution for this coding contest problem. There are K blue balls and N-K red balls. The balls of the same color cannot be distinguished. Snuke and Takahashi are playing with these balls. First, Snuke will arrange the N balls in a row from left to right. Then, Takahashi will collect only th...
instruction
0
106,817
16
213,634
"Correct Solution: ``` n,k = map(int, input().split()) mod = 10**9+7 dp = [[1] + [0 for i in range(k)] for j in range(n+1)] for i in range(1,n+1): for j in range(1,k+1): dp[i][j] = dp[i-1][j] + dp[i-1][j-1] for i in range(k): print(dp[n-k+1][i+1]*dp[k-1][i]%mod) ```
output
1
106,817
16
213,635
Provide a correct Python 3 solution for this coding contest problem. There are K blue balls and N-K red balls. The balls of the same color cannot be distinguished. Snuke and Takahashi are playing with these balls. First, Snuke will arrange the N balls in a row from left to right. Then, Takahashi will collect only th...
instruction
0
106,818
16
213,636
"Correct Solution: ``` from math import factorial as f N, K = map(int,input().split()) WARU = 10**9+7 def nCr(n, r): return f(n)//(f(r)*f(n-r)) for i in range(K): if i <= N-K: print((nCr(K-1, i) * nCr(N-K+1, i+1)) % WARU) else: print(0) ```
output
1
106,818
16
213,637
Provide a correct Python 3 solution for this coding contest problem. There are K blue balls and N-K red balls. The balls of the same color cannot be distinguished. Snuke and Takahashi are playing with these balls. First, Snuke will arrange the N balls in a row from left to right. Then, Takahashi will collect only th...
instruction
0
106,819
16
213,638
"Correct Solution: ``` n,k=map(int,input().split()) mod=10**9+7 fac=[1]*n for i in range(n-1): fac[i+1]=((i+2)*fac[i]) def comb(a,b): if a==0: return 1 if b==0 or b==a: return 1 return (fac[a-1]//(fac[a-b-1]*fac[b-1]))%mod for i in range(k): print((comb(n-k+1,i+1)*comb(k-1,i))%mod) ```
output
1
106,819
16
213,639
Provide a correct Python 3 solution for this coding contest problem. There are K blue balls and N-K red balls. The balls of the same color cannot be distinguished. Snuke and Takahashi are playing with these balls. First, Snuke will arrange the N balls in a row from left to right. Then, Takahashi will collect only th...
instruction
0
106,820
16
213,640
"Correct Solution: ``` from math import factorial N, K = map(int, input().split()) mod = 10**9 + 7 def cmb(n, r): if n >= r: return int(factorial(n) // (factorial(r) * factorial(n-r))) else: return 0 for i in range(1, K+1): print(cmb(N-K+1, i) * cmb(K-1, i-1) % mod) ```
output
1
106,820
16
213,641
Provide a correct Python 3 solution for this coding contest problem. There are K blue balls and N-K red balls. The balls of the same color cannot be distinguished. Snuke and Takahashi are playing with these balls. First, Snuke will arrange the N balls in a row from left to right. Then, Takahashi will collect only th...
instruction
0
106,821
16
213,642
"Correct Solution: ``` def ncr(n,r,mod): X = 1 Y = 1 for i in range(r): X = (X*(n-i))%mod Y = (Y*(i+1))%mod return (X*pow(Y,mod-2,mod))%mod N,K = map(int,input().split()) mod = pow(10,9)+7 for i in range(1,K+1): ans = (ncr(K-1,i-1,mod)*ncr(N-K+1,i,mod))%mod print(ans) ```
output
1
106,821
16
213,643
Provide a correct Python 3 solution for this coding contest problem. There are K blue balls and N-K red balls. The balls of the same color cannot be distinguished. Snuke and Takahashi are playing with these balls. First, Snuke will arrange the N balls in a row from left to right. Then, Takahashi will collect only th...
instruction
0
106,822
16
213,644
"Correct Solution: ``` import math N,K=map(int,input().split()) def c(n,r): return math.factorial(n)//(math.factorial(abs(n-r))*math.factorial(r)) for i in range(K): if N-K<i: print(0) else: red = c(N-K+1,i+1) blue=c(K-1,i) ans=(red*blue)%(10**9+7) print(ans) ```
output
1
106,822
16
213,645
Provide a correct Python 3 solution for this coding contest problem. There are K blue balls and N-K red balls. The balls of the same color cannot be distinguished. Snuke and Takahashi are playing with these balls. First, Snuke will arrange the N balls in a row from left to right. Then, Takahashi will collect only th...
instruction
0
106,823
16
213,646
"Correct Solution: ``` M=10**9+7;N,K=map(int,input().split()) def c(n,k): if k>n:return 0 m=d=1 for i in range(k):m*=n-i;d*=i+1 return m%M*pow(d%M,M-2,M)%M for i in range(K):print(c(K-1,i)*c(N-K+1,i+1)%M) ```
output
1
106,823
16
213,647
Provide a correct Python 3 solution for this coding contest problem. There are K blue balls and N-K red balls. The balls of the same color cannot be distinguished. Snuke and Takahashi are playing with these balls. First, Snuke will arrange the N balls in a row from left to right. Then, Takahashi will collect only th...
instruction
0
106,824
16
213,648
"Correct Solution: ``` #!/usr/bin/env python3 from math import factorial as f n, k = map(int, input().split()) mod = 10**9+7 for i in range(k): try: print(f(n - k + 1) * f(k - 1) // f(i + 1) // f(n - k - i) // f(i) // f(k - i - 1) % mod) except ValueError: print(0) ```
output
1
106,824
16
213,649
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are K blue balls and N-K red balls. The balls of the same color cannot be distinguished. Snuke and Takahashi are playing with these balls. First, Snuke will arrange the N balls in a row f...
instruction
0
106,825
16
213,650
Yes
output
1
106,825
16
213,651
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are K blue balls and N-K red balls. The balls of the same color cannot be distinguished. Snuke and Takahashi are playing with these balls. First, Snuke will arrange the N balls in a row f...
instruction
0
106,826
16
213,652
Yes
output
1
106,826
16
213,653
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are K blue balls and N-K red balls. The balls of the same color cannot be distinguished. Snuke and Takahashi are playing with these balls. First, Snuke will arrange the N balls in a row f...
instruction
0
106,827
16
213,654
Yes
output
1
106,827
16
213,655
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are K blue balls and N-K red balls. The balls of the same color cannot be distinguished. Snuke and Takahashi are playing with these balls. First, Snuke will arrange the N balls in a row f...
instruction
0
106,828
16
213,656
Yes
output
1
106,828
16
213,657
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are K blue balls and N-K red balls. The balls of the same color cannot be distinguished. Snuke and Takahashi are playing with these balls. First, Snuke will arrange the N balls in a row f...
instruction
0
106,829
16
213,658
No
output
1
106,829
16
213,659
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are K blue balls and N-K red balls. The balls of the same color cannot be distinguished. Snuke and Takahashi are playing with these balls. First, Snuke will arrange the N balls in a row f...
instruction
0
106,830
16
213,660
No
output
1
106,830
16
213,661
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are K blue balls and N-K red balls. The balls of the same color cannot be distinguished. Snuke and Takahashi are playing with these balls. First, Snuke will arrange the N balls in a row f...
instruction
0
106,831
16
213,662
No
output
1
106,831
16
213,663
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. There are K blue balls and N-K red balls. The balls of the same color cannot be distinguished. Snuke and Takahashi are playing with these balls. First, Snuke will arrange the N balls in a row f...
instruction
0
106,832
16
213,664
No
output
1
106,832
16
213,665
Provide a correct Python 3 solution for this coding contest problem. Snuke has one biscuit and zero Japanese yen (the currency) in his pocket. He will perform the following operations exactly K times in total, in the order he likes: * Hit his pocket, which magically increases the number of biscuits by one. * Exchange...
instruction
0
106,833
16
213,666
"Correct Solution: ``` N,A,B = list(map(int,input().split())) another=1+1*N ans =A N -= A-1 ans += N//2 * (B-A) ans += N%2 print(max(ans,another)) ```
output
1
106,833
16
213,667
Provide a correct Python 3 solution for this coding contest problem. Snuke has one biscuit and zero Japanese yen (the currency) in his pocket. He will perform the following operations exactly K times in total, in the order he likes: * Hit his pocket, which magically increases the number of biscuits by one. * Exchange...
instruction
0
106,834
16
213,668
"Correct Solution: ``` k, a, b = map(int, input().split()) if b-a < 3 or k < a+1: print(k+1) else: print(a + (k-a+1)//2*(b-a) + (k-a+1)%2) ```
output
1
106,834
16
213,669
Provide a correct Python 3 solution for this coding contest problem. Snuke has one biscuit and zero Japanese yen (the currency) in his pocket. He will perform the following operations exactly K times in total, in the order he likes: * Hit his pocket, which magically increases the number of biscuits by one. * Exchange...
instruction
0
106,835
16
213,670
"Correct Solution: ``` K, A, B = map(int, input().split()) K += 1 if B - A <= 2 or K < A + 2: print(K) else: K -= A + 2 print(B + K // 2 * (B - A) + K % 2) ```
output
1
106,835
16
213,671
Provide a correct Python 3 solution for this coding contest problem. Snuke has one biscuit and zero Japanese yen (the currency) in his pocket. He will perform the following operations exactly K times in total, in the order he likes: * Hit his pocket, which magically increases the number of biscuits by one. * Exchange...
instruction
0
106,836
16
213,672
"Correct Solution: ``` K,A,B = map(int, input().split()) S=K+1 diff=B-A t=((K-A+1)//2) T=diff*t odd=((K-A+1)%2) print(max(T+odd+A,S)) ```
output
1
106,836
16
213,673
Provide a correct Python 3 solution for this coding contest problem. Snuke has one biscuit and zero Japanese yen (the currency) in his pocket. He will perform the following operations exactly K times in total, in the order he likes: * Hit his pocket, which magically increases the number of biscuits by one. * Exchange...
instruction
0
106,837
16
213,674
"Correct Solution: ``` k,a,b = map(int,input().split()) if a+2 >= b or a >= k: print(k+1) else: k -= a-1 print(a+ (b-a)*(k//2) + k%2) ```
output
1
106,837
16
213,675
Provide a correct Python 3 solution for this coding contest problem. Snuke has one biscuit and zero Japanese yen (the currency) in his pocket. He will perform the following operations exactly K times in total, in the order he likes: * Hit his pocket, which magically increases the number of biscuits by one. * Exchange...
instruction
0
106,838
16
213,676
"Correct Solution: ``` k,a,b = map(int,input().split()) bis = 1 bis = a k -= (a-1) print(max((b-a) * (k//2)+ 1 * (k % 2) + bis,k + bis)) #copy code ```
output
1
106,838
16
213,677
Provide a correct Python 3 solution for this coding contest problem. Snuke has one biscuit and zero Japanese yen (the currency) in his pocket. He will perform the following operations exactly K times in total, in the order he likes: * Hit his pocket, which magically increases the number of biscuits by one. * Exchange...
instruction
0
106,839
16
213,678
"Correct Solution: ``` k,a,b=map(int,input().split()) ans=1 yen=0 if b<=a+2 or k<=a: ans+=k else: n=(k-a+1)//2 ans+=n*(b-a)+(k-2*n) print(ans) ```
output
1
106,839
16
213,679
Provide a correct Python 3 solution for this coding contest problem. Snuke has one biscuit and zero Japanese yen (the currency) in his pocket. He will perform the following operations exactly K times in total, in the order he likes: * Hit his pocket, which magically increases the number of biscuits by one. * Exchange...
instruction
0
106,840
16
213,680
"Correct Solution: ``` k,a,b=map(int,input().split()) gain=b-a if gain>=2: k-=a-1 print(a+k//2*gain+k%2) else: print(k+1) ```
output
1
106,840
16
213,681
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has one biscuit and zero Japanese yen (the currency) in his pocket. He will perform the following operations exactly K times in total, in the order he likes: * Hit his pocket, which magic...
instruction
0
106,841
16
213,682
Yes
output
1
106,841
16
213,683
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has one biscuit and zero Japanese yen (the currency) in his pocket. He will perform the following operations exactly K times in total, in the order he likes: * Hit his pocket, which magic...
instruction
0
106,842
16
213,684
Yes
output
1
106,842
16
213,685
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has one biscuit and zero Japanese yen (the currency) in his pocket. He will perform the following operations exactly K times in total, in the order he likes: * Hit his pocket, which magic...
instruction
0
106,843
16
213,686
Yes
output
1
106,843
16
213,687
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has one biscuit and zero Japanese yen (the currency) in his pocket. He will perform the following operations exactly K times in total, in the order he likes: * Hit his pocket, which magic...
instruction
0
106,844
16
213,688
Yes
output
1
106,844
16
213,689
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has one biscuit and zero Japanese yen (the currency) in his pocket. He will perform the following operations exactly K times in total, in the order he likes: * Hit his pocket, which magic...
instruction
0
106,845
16
213,690
No
output
1
106,845
16
213,691
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has one biscuit and zero Japanese yen (the currency) in his pocket. He will perform the following operations exactly K times in total, in the order he likes: * Hit his pocket, which magic...
instruction
0
106,846
16
213,692
No
output
1
106,846
16
213,693
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has one biscuit and zero Japanese yen (the currency) in his pocket. He will perform the following operations exactly K times in total, in the order he likes: * Hit his pocket, which magic...
instruction
0
106,847
16
213,694
No
output
1
106,847
16
213,695
Evaluate the correctness of the submitted Python 3 solution to the coding contest problem. Provide a "Yes" or "No" response. Snuke has one biscuit and zero Japanese yen (the currency) in his pocket. He will perform the following operations exactly K times in total, in the order he likes: * Hit his pocket, which magic...
instruction
0
106,848
16
213,696
No
output
1
106,848
16
213,697
Provide a correct Python 3 solution for this coding contest problem. There are N candles placed on a number line. The i-th candle from the left is placed on coordinate x_i. Here, x_1 < x_2 < ... < x_N holds. Initially, no candles are burning. Snuke decides to light K of the N candles. Now, he is at coordinate 0. He ...
instruction
0
106,849
16
213,698
"Correct Solution: ``` n,k=map(int,input().split()) x=list(map(int,input().split())) ans=3*10**8 for i in range(n-k+1): ans=min(ans,min(abs(x[i]),abs(x[k+i-1]))+x[k+i-1]-x[i]) print(ans) ```
output
1
106,849
16
213,699
Provide a correct Python 3 solution for this coding contest problem. There are N candles placed on a number line. The i-th candle from the left is placed on coordinate x_i. Here, x_1 < x_2 < ... < x_N holds. Initially, no candles are burning. Snuke decides to light K of the N candles. Now, he is at coordinate 0. He ...
instruction
0
106,850
16
213,700
"Correct Solution: ``` n, k = map(int, input().split()) x = list(map(int, input().split())) ans = float("inf") for i in range(n-k+1): res = x[i+k-1] - x[i] + min(abs(x[i+k-1]), abs(x[i])) ans = min(ans, res) print(ans) ```
output
1
106,850
16
213,701
Provide a correct Python 3 solution for this coding contest problem. There are N candles placed on a number line. The i-th candle from the left is placed on coordinate x_i. Here, x_1 < x_2 < ... < x_N holds. Initially, no candles are burning. Snuke decides to light K of the N candles. Now, he is at coordinate 0. He ...
instruction
0
106,851
16
213,702
"Correct Solution: ``` N,K=map(int,input().split()) x=[int(i) for i in input().split()] cost=10**13 for i in range(N-K+1): c=x[i+K-1]-x[i]+min(abs(x[i]),abs(x[i+K-1])) cost=min(cost,c) print(cost) ```
output
1
106,851
16
213,703
Provide a correct Python 3 solution for this coding contest problem. There are N candles placed on a number line. The i-th candle from the left is placed on coordinate x_i. Here, x_1 < x_2 < ... < x_N holds. Initially, no candles are burning. Snuke decides to light K of the N candles. Now, he is at coordinate 0. He ...
instruction
0
106,852
16
213,704
"Correct Solution: ``` N, K = map(int, input().split()) x = list(map(int, input().split())) ans = [] for i in range(N-K+1): l = x[i] r = x[i+K-1] ans.append(min(abs(l)+abs(l-r), abs(r)+abs(l-r))) print(min(ans)) ```
output
1
106,852
16
213,705
Provide a correct Python 3 solution for this coding contest problem. There are N candles placed on a number line. The i-th candle from the left is placed on coordinate x_i. Here, x_1 < x_2 < ... < x_N holds. Initially, no candles are burning. Snuke decides to light K of the N candles. Now, he is at coordinate 0. He ...
instruction
0
106,853
16
213,706
"Correct Solution: ``` f = lambda:map(int,input().split()) n,k = f() x = list(f()) d = 10**9 for i in range(n-k+1): l,r = x[i],x[i+k-1] d = [min(d,max(-l,r)),min(d,(r-l)+min(-l,r))][l<0<r] print(d) ```
output
1
106,853
16
213,707
Provide a correct Python 3 solution for this coding contest problem. There are N candles placed on a number line. The i-th candle from the left is placed on coordinate x_i. Here, x_1 < x_2 < ... < x_N holds. Initially, no candles are burning. Snuke decides to light K of the N candles. Now, he is at coordinate 0. He ...
instruction
0
106,854
16
213,708
"Correct Solution: ``` N, K = map(int, input().split()) x = list(map(int, input().split())) m = float("INF") for i in range(N - K + 1): m = min(m, x[i + K - 1] - x[i] + min(abs(x[i + K - 1]), abs(x[i]))) print(m) ```
output
1
106,854
16
213,709
Provide a correct Python 3 solution for this coding contest problem. There are N candles placed on a number line. The i-th candle from the left is placed on coordinate x_i. Here, x_1 < x_2 < ... < x_N holds. Initially, no candles are burning. Snuke decides to light K of the N candles. Now, he is at coordinate 0. He ...
instruction
0
106,855
16
213,710
"Correct Solution: ``` n, k = map(int, input().split()) X = list(map(int, input().split())) ans = 10**9 for i in range(n-k+1): l = X[i] r = X[i+k-1] tmp = min(abs(l)+abs(l-r), abs(r)+abs(l-r)) ans = min(tmp, ans) print(ans) ```
output
1
106,855
16
213,711
Provide a correct Python 3 solution for this coding contest problem. There are N candles placed on a number line. The i-th candle from the left is placed on coordinate x_i. Here, x_1 < x_2 < ... < x_N holds. Initially, no candles are burning. Snuke decides to light K of the N candles. Now, he is at coordinate 0. He ...
instruction
0
106,856
16
213,712
"Correct Solution: ``` N, K = map(int, input().split()) x = list(map(int, input().split())) Min = 1e10 for i in range(N-K+1): Min = min(Min, x[K+i-1]-x[i]+min(abs(x[i]),abs(x[K+i-1]))) print(Min) ```
output
1
106,856
16
213,713