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C++专题课程/NOIP算法总结/最大连续子序列和/最大连续子序列和.cpp
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27
C++专题课程/NOIP算法总结/最大连续子序列和/最大连续子序列和.cpp
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#include<bits/stdc++.h>
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#define maxn 1000
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using namespace std;
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int dp[maxn];
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int main() {
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int n;
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scanf("%d", &n);
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int a[maxn];
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for (int i = 0; i < n; i++) {
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scanf("%d", &a[i]);
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}
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dp[0] = a[0];//边界 (结果总是确定的,动态规划总是从这些边界出发)
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for (int i = 0; i < n; i++) {
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dp[i] = max(a[i], dp[i - 1] + a[i]);//递推式
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}
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//dp[i]存放以a[i]结尾的连续序列的最大和,需要遍历i得到最大的才是结果
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int k = 0;
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for (int i = 0; i < n; i++) {
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if (dp[i] > dp[k]) {
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k = i;
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}
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}
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printf("%d\n", dp[k]);
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return 0;
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}
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