Children’s Queue
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Children’s Queue
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 10040 Accepted Submission(s): 3198
Problem Description
There are many students in PHT School. One day, the headmaster whose name is PigHeader wanted all students stand in a line. He prescribed that girl can not be in single. In other words, either no girl in the queue or more than one girl stands side by side. The case n=4 (n is the number of children) is like
FFFF, FFFM, MFFF, FFMM, MFFM, MMFF, MMMM
Here F stands for a girl and M stands for a boy. The total number of queue satisfied the headmaster’s needs is 7. Can you make a program to find the total number of queue with n children?
FFFF, FFFM, MFFF, FFMM, MFFM, MMFF, MMMM
Here F stands for a girl and M stands for a boy. The total number of queue satisfied the headmaster’s needs is 7. Can you make a program to find the total number of queue with n children?
Input
There are multiple cases in this problem and ended by the EOF. In each case, there is only one integer n means the number of children (1<=n<=1000)
Output
For each test case, there is only one integer means the number of queue satisfied the headmaster’s needs.
Sample Input
123
Sample Output
124#include<iostream>#include<iomanip>using namespace std;int main(){int n;int f[1001][101] = {0};f[0][1]=1;f[1][1]=1;f[2][1]=2;f[3][1]=4;for(int i=4; i<1001; ++i){for(int j=1;j<101;++j){f[i][j]+=f[i-1][j]+f[i-2][j]+f[i-4][j];f[i][j+1]+=f[i][j]/10000;f[i][j]%=10000;}}while(cin>>n){int j=100;while(!f[n][j]){j--;}cout<<f[n][j];j--;for(;j>0;j--)printf("%04d", f[n][j]);cout<<endl;}return 0;}
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