31 lines
1.1 KiB
C++
31 lines
1.1 KiB
C++
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#include <bits/stdc++.h>
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using namespace std;
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const int N = 1e5 + 10;
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int n;
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int f[N];//DP数组,抢前i个店铺可以获取到的最大价值是多少
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int a[N];//抢劫第i个店铺可以获取到的利益w[i]
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//线性DP解法
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int main() {
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int T;
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scanf("%d", &T);
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while (T--) {
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scanf("%d", &n);
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memset(f, 0, sizeof f);
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for (int i = 1; i <= n; i++) scanf("%d", &a[i]);
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//base case
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f[0] = 0; //还没开始抢,那么利益必须是0
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f[1] = a[1]; //抢了第一个,只能是利益为w[1]
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//从第二个开始,有递推关系存在,以抢与不抢第i个为理由进行分类
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for (int i = 2; i <= n; i++)
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//f[i-1]表示不抢第i个,那么利益就是f[i-1]
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//如果抢了第i个,那么获取到w[i]的利益,同时,前面的只能依赖于f[i-2]
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//max表示决策,到底抢两个中的哪个合适呢?
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f[i] = max(f[i - 1], f[i - 2] + a[i]);
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//输出结果
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printf("%d\n", f[n]);
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}
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return 0;
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}
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