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HDU - 3555 Bomb(数位dp)
题意:求1~N中含有49的数字个数。
#include<cstdio>#include<cstring>#include<cstdlib>#include<cctype>#include<cmath>#include<iostream>#include<sstream>#include<iterator>#include<algorithm>#include<string>#include<vector>#include<set>#include<map>#include<stack>#include<deque>#include<queue>#include<list>#define lowbit(x) (x & (-x))const double eps = 1e-8;inline int dcmp(double a, double b){ if(fabs(a - b) < eps) return 0; return a > b ? 1 : -1;}typedef long long LL;typedef unsigned long long ULL;const int INT_INF = 0x3f3f3f3f;const int INT_M_INF = 0x7f7f7f7f;const LL LL_INF = 0x3f3f3f3f3f3f3f3f;const LL LL_M_INF = 0x7f7f7f7f7f7f7f7f;const int dr[] = {0, 0, -1, 1, -1, -1, 1, 1};const int dc[] = {-1, 1, 0, 0, -1, 1, -1, 1};const int MOD = 1e9 + 7;const double pi = acos(-1.0);const int MAXN = 10000 + 10;const int MAXT = 10000 + 10;using namespace std;int digit[30];LL dp[30][2];LL dfs(int len, bool state, bool limit){//len--当前位,从高到低枚举,state--上一位的状态,limit--当前位的数字是否有限制 if(!len) return 1; if(!limit && dp[len][state] != -1) return dp[len][state];//!limit--记录重复枚举的数的个数,以便记忆化搜索 LL ans = 0, up = limit ? digit[len] : 9; for(int i = 0; i <= up; ++i){ if(state && i == 9) continue; ans += dfs(len - 1, i == 4, limit && i == up); } if(!limit) dp[len][state] = ans;//记录截止到当前位且当前位无限制时满足条件的数的个数 return ans;}LL solve(LL x){ int cnt = 0; while(x){ digit[++cnt] = x % 10; x /= 10; } return dfs(cnt, false, true);}int main(){ int T; scanf("%d", &T); memset(dp, -1, sizeof dp); while(T--){ LL N; scanf("%lld", &N); printf("%lld\n", N - (solve(N) - solve(0))); } return 0;}
HDU - 3555 Bomb(数位dp)
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