2025-10-05 18:33:03 +08:00
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## <20>Ŷӽ<C5B6>ˮ
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2025-10-05 19:16:56 +08:00
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### һ<><D2BB>ԭ<EFBFBD><D4AD>
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https://www.luogu.com.cn/problem/P1190
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2025-10-05 18:33:03 +08:00
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2025-10-05 19:16:56 +08:00
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P1190 [NOIP 2010 <20>ռ<EFBFBD><D5BC><EFBFBD>] <20><>ˮ<EFBFBD><CBAE><EFBFBD><EFBFBD>
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2025-10-05 18:33:03 +08:00
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2025-10-05 19:16:56 +08:00
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```cpp {.line-numbers}
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#include <bits/stdc++.h>
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using namespace std;
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const int MAX_N = 10010; // <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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const int MAX_M = 110; // <20><><EFBFBD><EFBFBD>ˮ<EFBFBD><CBAE>ͷ<EFBFBD><CDB7>
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int n, m; // n: ͬѧ<CDAC><D1A7><EFBFBD><EFBFBD>, m: ˮ<><CBAE>ͷ<EFBFBD><CDB7><EFBFBD><EFBFBD>
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int w[MAX_N]; // ÿλͬѧ<CDAC>Ľ<EFBFBD>ˮ<EFBFBD><CBAE>
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int taps[MAX_M]; // ÿ<><C3BF>ˮ<EFBFBD><CBAE>ͷ<EFBFBD>ĵ<EFBFBD>ǰ<EFBFBD><C7B0><EFBFBD><EFBFBD>ʱ<EFBFBD><CAB1>
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int main() {
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cin >> n >> m;
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2025-10-05 18:33:03 +08:00
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2025-10-05 19:16:56 +08:00
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// ģ<><C4A3><EFBFBD><EFBFBD>ˮ<EFBFBD><CBAE><EFBFBD><EFBFBD>
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for (int i = 0; i < n; i++) {
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cin >> w[i];
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// <20>ҵ<EFBFBD><D2B5><EFBFBD><EFBFBD>Ƚ<EFBFBD><C8BD><EFBFBD><EFBFBD><EFBFBD>ˮ<EFBFBD><CBAE>ͷ
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int min_tap = 0;
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for (int j = 1; j < m; j++)
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if (taps[j] < taps[min_tap])
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min_tap = j;
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// <20><>i<EFBFBD><69>ͬѧ<CDAC>Ľ<EFBFBD>ˮ<EFBFBD><CBAE><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ƚ<EFBFBD><C8BD><EFBFBD><EFBFBD><EFBFBD>ˮ<EFBFBD><CBAE>ͷ
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taps[min_tap] += w[i];
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}
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// <20>ҵ<EFBFBD><D2B5><EFBFBD><EFBFBD><EFBFBD>ˮ<EFBFBD><CBAE>ͷ<EFBFBD><CDB7><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ľ<EFBFBD><C4BD><EFBFBD>ʱ<EFBFBD><CAB1>
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int result = 0;
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for (int i = 0; i < m; i++)
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result = max(result, taps[i]);
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2025-10-05 18:33:03 +08:00
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2025-10-05 19:16:56 +08:00
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cout << result << endl;
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return 0;
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}
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```
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2025-10-05 18:33:03 +08:00
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2025-10-05 19:16:56 +08:00
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### <20><><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>2<EFBFBD><32>һ<EFBFBD><D2BB>ˮ<EFBFBD><CBAE>ͷǰ<CDB7>Ŷӽ<C5B6>ˮ<EFBFBD><CBAE>
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https://www.acwing.com/problem/content/description/5945/
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2025-10-05 18:33:03 +08:00
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```cpp {.line-numbers}
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#include <bits/stdc++.h>
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using namespace std;
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const int N = 1005;
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struct Node {
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int num;
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int sum;
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} a[N];
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bool cmp(Node x, Node y) {
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if (x.sum == y.sum)
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return x.num < y.num;
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2025-10-05 18:33:03 +08:00
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return x.sum < y.sum;
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}
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int main() {
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int n;
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cin >> n;
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for (int i = 0; i < n; i++) {
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cin >> a[i].sum;
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a[i].num = i + 1;
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}
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sort(a, a + n, cmp);
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double temp = 0.00;
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for (int i = 0; i < n; i++) {
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cout << a[i].num << " ";
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temp += (n - (i + 1)) * a[i].sum;
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}
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cout << endl;
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printf("%.2f", temp / n * 1.00);
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return 0;
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}
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2025-10-05 19:16:56 +08:00
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```
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### <20>ġ<EFBFBD><C4A1><EFBFBD>ѧ֤<D1A7><D6A4>
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<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ҫ<EFBFBD>ŵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>е<EFBFBD>Ԫ<EFBFBD>أ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊʲô<EFBFBD>Ǵ<EFBFBD>С<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>أ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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<EFBFBD>Ŷ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ҫ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ÿ<EFBFBD><EFBFBD>Ԫ<EFBFBD><EFBFBD><EFBFBD>ڴ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>¶<EFBFBD>Ҫ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ҳ<EFBFBD><EFBFBD><EFBFBD>Ǵ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ó<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ԫ<EFBFBD><EFBFBD>ͬ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>裺
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$a_i$ <20><> $b_i$<24><>$a_i<b_i$
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<EFBFBD><EFBFBD>ô<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ԫ<EFBFBD>أ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
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1.$a_i$<24><><EFBFBD><EFBFBD>$b_i$ǰ<><C7B0><EFBFBD><EFBFBD>ô<EFBFBD><C3B4><EFBFBD><EFBFBD>ʱ<EFBFBD>䣺$t_1=a_i+a_i+b_i$.
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2.$b_i$<24><><EFBFBD><EFBFBD>$a_i$ǰ<><C7B0><EFBFBD><EFBFBD>ô<EFBFBD><C3B4><EFBFBD><EFBFBD>ʱ<EFBFBD>䣺$t_2=b_i+b_i+a_i$.
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##<23><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>$a_i<b_i$<24>ó<EFBFBD> $t_1<t_2$<24><><EFBFBD><EFBFBD><EFBFBD><EFBFBD>һ<EFBFBD><D2BB>ʽ<EFBFBD>ӡ<EFBFBD><D3A1><EFBFBD>$a_i+a_i+b_i<b_i+b_i+a_i$;
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<EFBFBD>ٻ<EFBFBD><EFBFBD><EFBFBD>ʽ<EFBFBD>ó<EFBFBD>$a_i<b_i$
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<EFBFBD><EFBFBD><EFBFBD>ǵó<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ۣ<EFBFBD>**<2A><>$a_i$<24><>$b_i$ǰ<><C7B0>ʱ<EFBFBD><CAB1>ʱ<EFBFBD><CAB1>Ϊ<EFBFBD><CEAA>Сֵ**<2A><>
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<EFBFBD><EFBFBD><EFBFBD>Ƿ<EFBFBD><EFBFBD>ƻ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>壬<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ϣ<EFBFBD><EFBFBD><EFBFBD>ôԽС<EFBFBD><EFBFBD>Ӧ<EFBFBD><EFBFBD>Խ<EFBFBD><EFBFBD><EFBFBD><EFBFBD>ǰ<EFBFBD>棬<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>ʱ<EFBFBD><EFBFBD>ԽС<EFBFBD><EFBFBD>
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