UVa 1210 - Sum of Consecutive Prime Numbers(滑动窗口)
2014-08-15 09:27
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大致题意:给定一个N, 求连续素数和等于N的方案数。
先打一个素数表, 用滑动窗口在表上跑就好。
下面是程序:
还写了个暴力的程序, TLE, 只能打表:
打表AC代码:
先打一个素数表, 用滑动窗口在表上跑就好。
下面是程序:
#include <iostream> #include <cstdio> #include <cstring> #include <cstdlib> #include <algorithm> #include <cmath> #include <string> #include <set> #include <map> #include <list> #include <vector> #include <queue> #include <stack> #include <sstream> #include <iomanip> typedef long long ll; typedef unsigned long long llu; using namespace std; vector<int> prime; void init() { int num[150000]= {0}; for(int i=2; i*i<10000+10; i++) for(int j=i*i; j<10000+10; j+=i) num[j]=1; for(int i=2; i<10000+10; i++) if(!num[i]) prime.push_back(i); } int main() { init(); int x; while(cin>>x && x) { int l=0, r=0, sum=prime[0]; int ans=0; while(l<=r && prime[r]<=x && r<prime.size()) { if(sum==x) { ans++; sum-=prime[l++]; } else if(sum>x) sum-=prime[l++]; else sum+=prime[++r]; } cout<<ans<<endl; } return 0; }
还写了个暴力的程序, TLE, 只能打表:
#include <iostream> #include <cstdio> #include <cstring> #include <cstdlib> #include <algorithm> #include <cmath> #include <string> #include <set> #include <map> #include <list> #include <vector> #include <queue> #include <stack> #include <sstream> #include <iomanip> typedef long long ll; typedef unsigned long long llu; using namespace std; vector<int> prime; int sum[10000+10], ans[10000+10]={0}; void init() { int num[10000+100]= {0}; for(int i=2; i*i<10000+10; i++) for(int j=i*i; j<10000+10; j+=i) num[j]=1; for(int i=2; i<10000+10; i++) if(!num[i]) prime.push_back(i); sum[1]=prime[0]; for(int i=1; i<prime.size(); i++) sum[i+1]=sum[i]+prime[i]; for(int i=2; i<=10000; i++) { for(int j=1; prime[j-1]<=i && j-1<prime.size(); j++) for(int k=1; k<=j; k++) if(sum[j]-sum[k-1]==i) ans[i]++; } } int main() { freopen("hehe.txt", "w", stdout); init(); cout<<"{"<<ans[0]; for(int i=1; i<=10000; i++) cout<<", "<<ans[i]; cout<<"};"<<endl; return 0; }
打表AC代码:
#include <iostream> #include <cstdio> #include <cstring> #include <cstdlib> #include <algorithm> #include <cmath> #include <string> #include <set> #include <map> #include <list> #include <vector> #include <queue> #include <stack> #include <sstream> #include <iomanip> typedef long long ll; typedef unsigned long long llu; using namespace std; int ans[10000+10]={0, 0, 1, 1, 0, 2, 0, 1, 1, 0, 1, 1, 1, 1, 0, 1, 0, 2, 1, 1, 0, 0, 0, 2, 1, 0, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 2, 1, 0, 1, 0, 3, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 2, 1, 0, 1, 0, 1, 1, 1, 0, 0, 0, 3, 1, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 0, 2, 1, 0, 2, 2, 1, 1, 0, 0, 0, 1, 0, 2, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 1, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 0, 0, 0, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 1, 2, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 1, 0, 3, 1, 3, 0, 0, 1, 0, 2, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 1, 3, 0, 0, 0, 1, 2, 1, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 3, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3, 1, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 0, 0, 0, 1, 2, 1, 2, 1, 0, 0, 0, 2, 1, 0, 1, 1, 3, 0, 1, 0, 0, 0, 3, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 2, 0, 1, 1, 1, 0, 0, 5, 0, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 1, 0, 0, 3, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 3, 2, 2, 0, 0, 1, 0, 0, 2, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 0, 1, 0, 3, 0, 0, 0, 0, 0, 1, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 1, 3, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 1, 0, 0, 0, 0, 0, 2, 2, 0, 0, 1, 1, 2, 2, 0, 0, 0, 1, 1, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 0, 0, 3, 2, 1, 0, 0, 1, 1, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 2, 1, 3, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 2, 2, 1, 0, 0, 1, 1, 2, 2, 0, 0, 1, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 0, 0, 1, 2, 1, 1, 0, 0, 0, 2, 0, 1, 0, 0, 0, 3, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 1, 1, 1, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 1, 1, 2, 1, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 2, 3, 2, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 0, 0, 2, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 2, 2, 0, 0, 0, 0, 2, 0, 1, 1, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 0, 1, 2, 3, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 2, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 1, 3, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 1, 0, 0, 2, 1, 2, 1, 0, 0, 2, 2, 0, 0, 0, 0, 2, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 3, 0, 1, 1, 0, 0, 5, 3, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 0, 0, 1, 0, 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0, 1, 0, 2, 1, 0, 0, 2, 3, 0, 1, 0, 0, 0, 2, 2, 1, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 0, 2, 0, 0, 0, 2, 1, 1, 1, 0, 2, 0, 0, 2, 0, 1, 0, 0, 2, 1, 0, 0, 0, 2, 0, 1, 0, 0, 1, 3, 0, 2, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 2, 2, 1, 0, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 3, 2, 2, 0, 0, 0, 0, 4, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 2, 1, 1, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 2, 0, 1, 0, 2, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 1, 1, 3, 0, 2, 1, 0, 2, 2, 2, 1, 0, 1, 1, 2, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 2, 2, 0, 0, 1, 1, 2, 3, 0, 0, 0, 1, 2, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 1, 0, 0, 0, 1, 1, 0, 1, 2, 3, 1, 0, 2, 0, 3, 1, 0, 0, 0, 0, 1, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 3, 1, 0, 0, 0, 1, 1, 2, 2, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 2, 1, 2, 2, 0, 2, 0, 0, 4, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 1, 2, 0, 1, 1, 1, 2, 2, 0, 0, 0, 1, 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0, 3, 1, 0, 0, 1, 3, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 4, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 2, 1, 1, 1, 0, 0, 1, 3, 2, 0, 0, 1, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 2, 3, 0, 3, 0, 0, 0, 2, 1, 0, 2, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 1, 0, 1, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 1, 0, 0, 1, 0, 1, 3, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 1, 0, 2, 2, 1, 2, 1, 0, 1, 0, 1, 0, 1, 0, 3, 1, 2, 0, 0, 0, 0, 2, 0, 0, 0, 2, 3, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 3, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1, 0, 2, 3, 0, 1, 1, 2, 3, 0, 1, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 2, 0, 0, 1, 2, 0, 0, 0, 0, 2, 0, 2, 1, 0, 0, 2, 1, 1, 0, 0, 1, 4, 1, 0, 0, 0, 0, 0, 0, 0, 3, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 2, 1, 0, 0, 1, 1, 0, 1, 1, 1, 2, 0, 1, 0, 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1, 1, 0, 2, 0, 1, 1, 0, 2, 0, 0, 2, 2, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 1, 1, 3, 0, 1, 1, 2, 0, 0, 2, 1, 1, 1, 0, 1, 0, 2, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 2, 3, 2, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 3, 2, 1, 1, 0, 0, 0, 0, 0, 1, 1, 2, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 3, 2, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 2, 1, 1, 1, 0, 0, 3, 0, 0, 2, 1, 1, 2, 1, 2, 1, 0, 0, 2, 2, 1, 0, 1, 1, 1, 2, 1, 1, 0, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 2, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 3, 1, 0, 2, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 1, 0, 1, 0, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 1, 0, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 2, 4, 2, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 1, 3, 0, 0, 0, 0, 2, 0, 1, 2, 0, 0, 0, 0, 0, 1, 1, 1, 2, 1, 1, 2, 1, 0, 3, 0, 0, 1, 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1, 1, 2, 0, 2, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 0, 2, 0, 1, 3, 0, 0, 1, 1, 2, 1, 0, 2, 1, 1, 1, 1, 0, 1, 0, 3, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 1, 0, 1, 2, 0, 1, 1, 0, 0, 3, 0, 1, 0, 1, 0, 2, 2, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 2, 2, 1, 1, 1, 0, 0, 0, 1, 0, 0, 2, 0, 2, 1, 2, 0, 0, 2, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 0, 2, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 0, 1, 0, 2, 1, 1, 2, 0, 1, 2, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 3, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 3, 1, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 2, 1, 2, 2, 0, 0, 0, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 1, 1, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 3, 1, 1, 3, 1, 0, 1, 1, 0, 1, 0, 1, 1, 3, 0, 1, 0, 0, 1, 1, 1, 0, 0, 1, 2, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 0, 0, 1, 1, 2, 1, 0, 1, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 0, 2, 0, 0, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 1, 0, 3, 1, 0, 1, 0, 2, 0, 1, 2, 0, 0, 0, 0, 2, 1, 1, 1, 2, 0, 0, 0, 0, 2, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 3, 2, 0, 0, 0, 1, 0, 2, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 1, 0, 1, 1, 1, 0, 0, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0}; int main() { int x; while(scanf("%d", &x) && x) printf("%d\n", ans[x]); return 0; }
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