考察二分,简单模拟会超时,优化后时间正好,但二分速度快些,注意以下几点:
(1):如果一个序列D1 … Dn,如果我们计算Di到Dj的和, 那么我们可以计算D1到Dj的和sum1,D1到Di的和sum2, 然后结果就是sum1 - sum2;
(2): 那么我们二分则要搜索的就是m + sum[i]的值。
#include <iostream>
#include <stdio.h>
#include <algorithm>
#include <cstring>
#include <string>
#include <vector>
#include <cctype>
#include <iomanip>
#include <cmath>
#include <map>
using namespace std;
const int Max_Int = 0x7fffffff;
const int Max_required = 100005;
int sum[Max_required];
int value[Max_required];
struct Node
{
int start;
int end;
};
vector<Node> V_node;
int binary_find(int target, int n)
{
int low = 0, high = n;
while (low <= high)
{
int mid = (low + high) 》 1;
if (sum[mid] == target)
return mid;
else if (sum[mid] < target)
low = mid + 1;
else high = mid - 1;
}
return low;
}
int main()
{
while (scanf("%d%d", &n, &m) != EOF)
{
for (int i = 1; i <= n; i++)
{
scanf("%d", &value[i]);
sum[i] = sum[i - 1] + value[i];
}
int Min = Max_Int;
for (int i = 0; i <= n; i++)
{
int target = m + sum[i];
int res = binary_find(target, n);
//printf("res = %d\n", res);
if (sum[res] - sum[i] - m >= 0 && sum[res] - sum[i] - m <= Min)
{
if (sum[res] - sum[i] - m < Min)
{
V_node.clear();
Min = sum[res] - sum[i] - m;
Node node;
node.start = i + 1;
node.end = res;
V_node.push_back(node);
}
else if (sum[res] - sum[i] - m == Min)
{
Node node;
node.start = i + 1;
node.end = res;
V_node.push_back(node);
}
}
}
for (int i = 0; i < V_node.size(); i++)
printf("%d-%d\n", V_node[i].start, V_node[i].end);
}
return 0;
}
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