HDU(3555),数位DP
题目链接:http://acm.split.hdu.edu.cn/showproblem.php?pid=3555
Bomb
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 131072/65536 K (Java/Others)
Total Submission(s): 15372 Accepted Submission(s): 5563
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?
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.
1
50
500
1
15
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.
#include <stdio.h>
#include <string.h> int bit[];
long long dp[][]; long long dfs(int len,bool is4,bool ismax)
{
if(len==) return ; ///搜索成功
if(!ismax&&dp[len][is4]>=) return dp[len][is4]; long long cnt = ;
int maxnum = ismax? bit[len]:;
for(int i=; i<=maxnum; i++)
{
if((is4&&i==)) continue;
cnt +=dfs(len-,i==,ismax&&i==maxnum);
}
return ismax?cnt:dp[len][is4]=cnt;
} long long f(long long n)
{
int len = ;
while(n)
{
bit[++len] = n%;
n/=;
}
return dfs(len,false,true);
} int main()
{
int t;
scanf("%d",&t);
while(t--)
{
long long n;
scanf("%lld",&n);
memset(dp,-,sizeof(dp));
printf("%lld\n",n-f(n)+);
}
return ;
}
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