hdu3555 Bomb (數位dp入門題)
阿新 • • 發佈:2017-08-27
accep ota line -c them eight otto time test case
Now the counter-terrorist knows the number N. They want to know the final points of the power. Can you help them?
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.
3
1
50
500
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 input terminates by end of file marker.
Output
For each test case, output an integer indicating the final points of the power.Sample Input
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 usingnamespace 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)