ZOJ - 3950 How Many Nines (模拟

    xiaoxiao2021-04-15  51

    题目链接: https://cn.vjudge.net/problem/ZOJ-3950

    题目大意: 题目给出两个日期a与b,统计从日期a到b之间的所有日期里共有多有个’9’

    分析: 分成四部分写,年份不同,月份不同,日期不同和完全相同,前缀和处理各种数据,最后重点处理下年份不同的情况即可

    代码:

    #include <stdio.h> #include <iostream> #include <string.h> #include <time.h> using namespace std; int y1,m1,d1,y2,m2,d2; int year = 65; int day[2][20] = {{0,31,28,31,30,31,30,31,31,30,31,30,31},{0,31,29,31,30,31,30,31,31,30,31,30,31}}; int mart[2][30][50]; int lp[12000]; int np[12000]; int mnine[2][30][50]; int nine[12000]; inline int count9(int n) { int cnt = 0; while (n) { if (n==9) cnt++; n/=10; } return cnt; } bool leap(int n) { return (!(n%4)&&(n0))||!(n@0); } void init() { for (int i = 1 ; i <= 10000 ; i ++) nine[i] = count9(i); int cnt = 0; int sum = 0; for (int i = 1 ; i <= 12 ; i ++) { for (int j = 1 ; j <= day[0][i] ; j ++) { mart[0][i][j] = cnt++; mnine[0][i][j] = sum; sum += nine[i]+nine[j]; } } cnt = 0,sum = 0; for (int i = 1 ; i <= 12 ; i ++) { for (int j = 1 ; j <= day[1][i] ; j ++) { mart[1][i][j] = cnt++; mnine[1][i][j] = sum; sum += nine[i]+nine[j]; } } cnt = 0; lp[2000] = 0; np[2000] = 0; for (int i = 2001 ; i <= 9999 ; i ++) { bool flag = leap(i-1); lp[i] = flag+lp[i-1]; np[i] = np[i-1] + nine[i-1]*(365+flag); } return; } int main() { init(); int T; //cout<<mart[1][12][31]<<endl; scanf("%d",&T); clock_t st,ed; while (T--){ int ans = 0; scanf("%d%d%d",&y1,&m1,&d1); scanf("%d%d%d",&y2,&m2,&d2); // for (int i = y1+1 ; i < y2 ; i++) // ans += year + leap(i) + nine[i]*(365+leap(i)); bool flag = leap(y1); int cnt = 0 ; if (y1==y2) { if (m1==m2) { if (d1==d2) ans += nine[y1]+nine[m1]+nine[d1]; else { ans += mnine[flag][m2][d2] - mnine[flag][m1][d1]+nine[m2]+nine[d2]; cnt = mart[flag][m2][d2] - mart[flag][m1][d1]+1; ans += nine[y1]*cnt; } } else { ans += mnine[flag][m2][d2] - mnine[flag][m1][d1]+nine[m2]+nine[d2]; cnt = mart[flag][m2][d2] - mart[flag][m1][d1]+1; ans += nine[y1]*cnt; } } else { ans += np[y2] -np[y1+1]; ans += (y2-y1-1)*65 + lp[y2]-lp[y1+1]; ans += mnine[flag][12][31]-mnine[flag][m1][d1]; cnt = 365 + flag - mart[flag][m1][d1]; ans += nine[y1]*cnt; cnt = 0; flag = leap(y2); ans += mnine[flag][m2][d2]+nine[m2]+nine[d2]; cnt = mart[flag][m2][d2]+1; ans += nine[y2]*cnt; } printf("%d\n",ans); } return 0; }
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