BZOJ2620 [Usaco2012 Mar]Haybale Restacking

恩,非常好的题。。。至少思路非常巧妙

首先可以得到性质:对于相邻的两堆A & B,A给B然后B再给A是完全没有意义的。。。也就是说只能单向传递

然后我们记下每个点要给(被给)多少堆干草a[i]

同时可以计算出del[i],表示若第i堆只向右传且第n堆不向第1堆运任何干草的情况下i - 1向i传递干草的数量

del[i] = del[i - 1] + a[i - 1](其实就是前缀和)

现在1可以向右移了,设向右移x堆,则ans = Σabs(del[i] - x)

故x = mid(del + 1, del + n + 1)时,ans最小

更加详细见lrj白书P4。。。

 1 /**************************************************************
 2     Problem: 2620
 3     User: rausen
 4     Language: C++
 5     Result: Accepted
 6     Time:68 ms
 7     Memory:1588 kb
 8 ****************************************************************/
 9  
10 #include <cstdio>
11 #include <algorithm>
12  
13 using namespace std;
14 typedef long long ll;
15 const int N = 100005;
16 int n;
17 int a[N], del[N];
18 ll ans;
19  
20 inline int read(){
21     int x = 0, sgn = 1;
22     char ch = getchar();
23     while (ch < '0' || ch > '9'){
24         if (ch == '-') sgn = -1;
25         ch = getchar();
26     }
27     while (ch >= '0' && ch <= '9'){
28         x = x * 10 + ch - '0';
29         ch = getchar();
30     }
31     return sgn * x;
32 }
33  
34  
35 int main(){
36     n = read();
37     int i, m = (n + 1) >> 1;
38     for (i = 1; i <= n; ++i)
39         a[i] = read(), a[i] -= read();
40     for (i = 2; i <= n; ++i)
41         del[i] = a[i - 1] + del[i - 1];
42     del[1] = a[n] + del[n];
43     sort(del + 1, del + n + 1);
44     for (i = 1; i <= n; ++i)
45         ans += abs(del[m] - del[i]);
46     printf("%lld
", ans);
47     return 0;
48 }
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By Xs酱~ 转载请说明 博客地址:http://www.cnblogs.com/rausen
原文地址:https://www.cnblogs.com/rausen/p/4082043.html