#include<iostream> #include<deque> #include<memory.h> #include<stdio.h> #include<map> #include<string> #include<algorithm> #include<vector> #include<math.h> #include<stack> #include<queue> #include<set> #define INF 1<<29 using namespace std; const int maxn = 1005000; int A[maxn]; int B[maxn]; int C[maxn*2+1];//A,B数组的差,在尾部复制一遍,模拟循环 int D[maxn*2+1];//C数组的前缀和 int N; inline void scan_d(int &ret){ char c; ret = 0; while ((c = getchar()) < '0' || c > '9'); while (c >= '0' && c <= '9') { ret = ret * 10 + (c - '0'), c = getchar(); } } int main (){ while(~scanf("%d", &N)){ memset(D,0,sizeof(D)); for(int i=1;i<=N;i++) scan_d(A[i]); for(int i=1;i<=N;i++){ scan_d(B[i]); C[i]=A[i]-B[i]; C[N+i]=A[i]-B[i]; D[i]=C[i]+D[i-1]; } for(int i=N+1;i<=N+N;i++){ D[i]=C[i-N]+D[i-1]; } for(int i=1;i<=N;i++){ for(int j=i;j<=i+N;j++){ if(D[j]-D[i-1]<0)//如果不能取了,即i~j的和变为负数了 { i+=j-i;//把前面i堆放到后面去,然后继续判断 break; } //如果成功取完,输出i-1,即是答案 if(j==N){ printf("%d ",i-1); i=N; } } } } return 0; }
最大字段和 O(N)
//3d4-1 最大子段和问题的动态规划算法 #include "stdafx.h" #include <iostream> using namespace std; int MaxSum(int n,int *a); int main() { int a[] = {-2,11,-4,13,-5,-2}; for(int i=0; i<6; i++) { cout<<a[i]<<" "; } cout<<endl; cout<<"数组a的最大连续子段和为:"<<MaxSum(6,a)<<endl; return 0; } int MaxSum(int n,int *a) { int sum=0,b=0; for(int i=1; i<=n; i++) { if(b>0) { b+=a[i]; } else { b=a[i]; } if(b>sum) { sum = b; } } return sum; }