1. 程式人生 > >hdu3555 Bomb (數位dp入門題)

hdu3555 Bomb (數位dp入門題)

accep ota line -c them eight otto time test case

Bomb

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 131072/65536 K (Java/Others)
Total Submission(s): 19698 Accepted Submission(s): 7311

Problem Description

The counter-terrorists found a time bomb in the dust. But this time the terrorists improve on the time bomb. The number sequence of the time bomb counts from 1 to N. If the current number sequence includes the sub-sequence "49", the power of the blast would add one point.
Now the counter-terrorist knows the number N. They want to know the final points of the power. Can you help them?

Input

The first line of input consists of an integer T (1 <= T <= 10000), indicating the number of test cases. For each test case, there will be an integer N (1 <= N <= 2^63-1) as the description.
The input terminates by end of file marker.

Output

For each test case, output an integer indicating the final points of the power.

Sample Input

3 1 50 500

Sample Output

0 1 15 Hint From 1 to 500, the numbers that include the sub-sequence "49" are "49","149","249","349","449","490","491","492","493","494","495","496","497","498","499", so the answer is 15.

代碼(dfs解法):

#include<iostream>
#include<cstring>
#define LL long long
using
namespace std; LL bit[25], dp[25][2]; LL dfs(int pos, int is4, int lim) { if(pos<0) return 1; if(!lim && dp[pos][is4]!=-1) return dp[pos][is4]; int las=lim?bit[pos]:9; LL res=0; for(int i=0; i<=las; ++i) if(!(is4 && i==9)) res+=dfs(pos-1, i==4, lim&&i==las); if(!lim) dp[pos][is4]=res; return res; } int main() { int T; memset(dp, -1, sizeof(dp)); cin>>T; while(T--) { LL n; cin>>n; LL len=0, m=n; while(n) { bit[len++]=n%10; n/=10; } LL ans=m-dfs(len-1, 0, 1)+1; cout<<ans<<endl; } return 0; }

hdu3555 Bomb (數位dp入門題)