习题10-6 UVA - 1210 Sum of Consecutive Prime Numbers 连续素数之和(滑动窗口)

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大体题意:

给你一个整数n(n <= 10000),有多少种方案可以把n 写成若干个连续素数之和?

思路:

直接素数打表,然后滑动窗口即可!

当sum 小于目标时,移动右边r。

发现达到目标,直接记录答案。

当sum 大于目标时,直接减左边的l

最后输出ans 即可!

#include<cstdio>#include<cstring>#include<algorithm>#include<cmath>using namespace std;const int maxn = 100000 + 10;int vis[maxn];int prime[maxn],n,cnt;void init(){    int m = sqrt(maxn + 0.5);    for (int i = 2; i <= m; ++i) if (!vis[i])        for (int j = i * i; j <= maxn; j += i)vis[j] = 1;    for (int i = 2; i < maxn; ++i)if (!vis[i])prime[cnt++] = i;//    for (int i = 0; i < 100; ++i)printf("%d\n",prime[i]);}int solve(){    int l =0,r = 0;    int sum = 0;    int ans = 0;    while(1){        while(sum < n && prime[r] <=n){            sum += prime[r++];        }        if (l > r)return ans;        if (sum < n)return ans;        if (sum == n){            ++ans;//            printf("%d %d\n",l,r);            sum -= prime[l++];        }        while(sum > n){            sum -= prime[l++];        }        if (sum > n)return ans;    }}int main(){    init();    while(scanf("%d",&n) == 1 && n)        printf("%d\n",solve());    return 0;}


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