题目传送门 /* 题意:1~1e9的数字里,各个位数数字相加和为s的个数 递推DP:dp[i][j] 表示i位数字,当前数字和为j的个数 状态转移方程:dp[i][j] += dp[i-1][j-k],为了不出现负数 改为:dp[i][j+k] += dp[i-1][j] */ #include <cstdio> #include <cstring> #include <cmath> #include <algorithm> #include <str…

1353. Milliard Vasya's Function Time limit: 1.0 second Memory limit: 64 MB Vasya is the beginning mathematician. He decided to make an important contribution to the science and to become famous all over the world. But how can he do that if the most i…

1353. Milliard Vasya's Function Time limit: 1.0 second Memory limit: 64 MB Vasya is the beginning mathematician. He decided to make an important contribution to the science and to become famous all over the world. But how can he do that if the most i…

题目链接 题意 : 让你找出1到10^9中和为s的数有多少个. 思路 : 自己没想出来,看的题解,学长的题解报告 题解报告 //URAL 1353 #include <iostream> #include <stdio.h> #include <string.h> using namespace std; ][] ; int main() { int s ; memset(dp,,sizeof(dp)) ; ; i < ; i++) { dp[][i] = ; d…

http://acm.timus.ru/problem.aspx?space=1&num=1353 #include <cstdio> #include <cstring> #include <algorithm> using namespace std; ][]; void inti() { memset(dp,,sizeof(dp)); dp[][]=; ; i<=; i++) { ; j<=i*; j++) { ; k<=; k++) {…

题目地址:Ural 1353 定义dp[i][j].表示当前位数为i位时,各位数和为j的个数. 对于第i位数来说.总能够看成在前i-1位后面加上一个0~9.所以状态转移方程就非常easy出来了: dp[i][j]=dp[i][j]+dp[i][j-1]+dp[i][j-2]+.......+dp[i][j-9]: 最后统计就可以. 代码例如以下: #include <iostream> #include <cstdio> #include <string> #inclu…

http://codeforces.com/problemset/problem/837/E   题意: f(a, 0) = 0; f(a, b) = 1 + f(a, b - gcd(a, b)) 输出f(a,b) a=A*gcd(a,b)    b=B*gcd(a,b) 一次递归后,变成了 f(A*gcd(a,b),(B-1)*gcd(a,b)) 若gcd(A,(B-1))=1,那么 这一层递归的gcd(a,b)仍等于上一层递归的gcd(a,b) 也就是说,b-gcd(a,b),有大量的时间…

/* CodeForces - 837E - Vasya's Function [ 数论 ] | Educational Codeforces Round 26 题意: f(a, 0) = 0; f(a, b) = 1 + f(a, b-gcd(a, b)); 求 f(a, b) , a,b <= 1e12 分析: b 每次减 gcd(a, b) 等价于 b/gcd(a,b) 每次减 1 减到什么时候呢,就是 b/gcd(a,b)-k 后 不与 a 互质 可先将 a 质因数分解,b能除就除,不能…

Time limit: 1.0 second Memory limit: 64 MB Vasya is the beginning mathematician. He decided to make an important contribution to the science and to become famous all over the world. But how can he do that if the most interesting facts such as Pythago…

Vasya is studying number theory. He has denoted a function f(a, b) such that: f(a, 0) = 0; f(a, b) = 1 + f(a, b - gcd(a, b)), where gcd(a, b) is the greatest common divisor of a and b. Vasya has two numbers x and y, and he wants to calculate f(x, y).…