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hdu 5245 Joyful（期望）

2024-09-18 07:53:51   219人阅读

Joyful

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 1243    Accepted Submission(s): 546


Problem Description
Sakura has a very magical tool to paint walls. One day, kAc asked Sakura to paint a wall that looks like an M×N matrix. The wall has M×N squares in all. In the whole problem we denotes (x,y) to be the square at the x-th row, y-th column. Once Sakura has determined two squares (x1,y1) and (x2,y2), she can use the magical tool to paint all the squares in the sub-matrix which has the given two squares as corners.

However, Sakura is a very naughty girl, so she just randomly uses the tool for K times. More specifically, each time for Sakura to use that tool, she just randomly picks two squares from all the M×N squares, with equal probability. Now, kAc wants to know the expected number of squares that will be painted eventually.
 

 

Input
The first line contains an integer T(T≤100), denoting the number of test cases.

For each test case, there is only one line, with three integers M,N and K.
It is guaranteed that 1≤M,N≤500, 1≤K≤20.
 

 

Output
For each test case, output ‘‘Case #t:‘‘ to represent the t-th case, and then output the expected number of squares that will be painted. Round to integers.
 

 

Sample Input
23 3 14 4 2
 

 

Sample Output
Case #1: 4Case #2: 8
Hint
The precise answer in the first test case is about 3.56790123.
 

 

Source
The 2015 ACM-ICPC China Shanghai Metropolitan Programming Contest
 

 

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代码较挫，
 1 #include <iostream> 2 #include <stdio.h> 3 using namespace std; 4  5 using namespace std; 6  7 #define LL long long 8  9 long long C(LL  a,LL b)10 {11     return a * b * a * b;12 }13 int main()14 {15     long long T,m,n,k;16     int cas = 0;17     scanf("%lld",&T);18     while(T--)19     {20         LL sum;21         double ans=0, p;22         scanf("%lld%lld%lld",&m,&n,&k);23         for(LL i=0; i<m; i++)24         {25             for(LL j=0; j<n; j++)26             {27                sum = C(i,n)+C((m-i-1),n)+C(j,m)+C((n-j-1),m);28                sum = sum - C(i,j) - C(i,(n-j-1)) - C((m-i-1),j ) - C((m-i-1),(n-j-1)) ;29                p = sum * 1.0 / C(m,n);30 31 double tmp=1;32                for (LL jj = 1; jj <= k; ++jj)33                     tmp *= p;34                ans=ans+1-tmp;35             }36         }37         printf("Case #%d: %.0f\n",++cas,ans);38     }39     return 0;40 }

 

hdu 5245 Joyful（期望）


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