hdu3555(数位dp)
2015-09-07 11:08
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Bomb
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 131072/65536 K (Java/Others)Total Submission(s): 10986 Accepted Submission(s): 3900
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 HintFrom 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.
Author
fatboy_cw@WHU
Source
2010 ACM-ICPC Multi-University Training Contest(12)——Host
by WHU
分析:和hdu2089基本相同
#include <iostream> #include <cstdio> #include <cstring> #include <stack> #include <queue> #include <map> #include <set> #include <vector> #include <cmath> #include <algorithm> using namespace std; const double eps = 1e-6; const double pi = acos(-1.0); const int INF = 0x3f3f3f3f; const int MOD = 1000000007; #define ll long long #define CL(a) memset(a,0,sizeof(a)) ll dp[35][3]; ll slove(ll x) { ll ans=0,k=0; int s[35]; bool flag=false; while (x) { s[++k]=x%10; x/=10; } s[k+1]=0; for (int i=k; i>0; i--) { //cout<<ans<<endl; ans+=dp[i-1][2]*s[i]; if (flag) ans+=dp[i-1][0]*s[i]; if (!flag&&s[i]>4) ans+=dp[i-1][1]; if (s[i+1]==4&&s[i]==9) flag=true; } return ans; } int main () { CL(dp); dp[0][0]=1; for (int i=1; i<23; i++) { dp[i][0] = dp[i-1][0]*10-dp[i-1][1];//没有49的情况 dp[i][1] = dp[i-1][0];//没49的情况后补4 dp[i][2] = dp[i-1][2]*10+dp[i-1][1];//有49的情况 } int T; ll n; scanf ("%d",&T); while (T--) { scanf ("%lld",&n); if (n<49) { printf ("0\n"); continue; } printf ("%lld\n",slove(n+1)); } return 0; }
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