A. Vasya and Socks time limit per test 1 second memory limit per test 256 megabytes input standard input output standard output
Vasya has n pairs of socks. In the morning of each day Vasya has to put on a pair of socks before he goes to school. When he comes home in the evening, Vasya takes off the used socks and throws them away. Every m-th day (at days with numbers m,?2m,?3m,?...) mom buys a pair of socks to Vasya. She does it late in the evening, so that Vasya cannot put on a new pair of socks before the next day. How many consecutive days pass until Vasya runs out of socks?
Input
The single line contains two integers n and m (1?≤?n?≤?100; 2?≤?m?≤?100), separated by a space.
Output
Print a single integer ― the answer to the problem.
Sample test(s) input
2 2
output
3
input
9 3
output
13
传送门：点击打开链接 解题思路： 水题，简单模拟。 代码：
#include
#include
#include
#include
#include
using namespace std; typedef long long lint; typedef double DB; //const int MAXN = ; int main() { int n, m, t = 0; scanf("%d%d", &n, &m); while(n) { n--; t++; if(0 == t%m) n++; } printf("%d\n", t); return 0; }
B. Little Dima and Equation time limit per test 1 second memory limit per test 256 megabytes input standard input output standard output
Little Dima misbehaved during a math lesson a lot and the nasty teacher Mr. Pickles gave him the following problem as a punishment.
Find all integer solutions x (0?
x?
x?=?
b?
s(
x)
a?+?
c,?
where a, b, c are some predetermined constant values and function s(x) determines the sum of all digits in the decimal representation of number x.
The teacher gives this problem to Dima for each lesson. He changes only the parameters of the equation: a, b, c. Dima got sick of getting bad marks and he asks you to help him solve this challenging problem.
Input
The first line contains three space-separated integers: a,?b,?c (1?≤?a?≤?5; 1?≤?b?≤?10000; ?-?10000?≤?c?≤?10000).
Output
Print integer n ― the number of the solutions that you've found. Next print n integers in the increasing order ― the solutions of the given equation. Print only integer solutions that are larger than zero and strictly less than 109.
Sample test(s) input
3 2 8
output
3
10 2008 13726
input
1 2 -18
output
0
input
2 2 -1
output
4
1 31 337 967
传送门：点击打开链接 解题思路： S（X）的取值从1到81，我们可以通过枚举S（x）的值得到x的值，检验是否符合。 代码：
#include
#include
#include
#include
#include
using namespace std; typedef long long lint; typedef double DB; const int MAX = 1e9; const int MAXN = 100; lint ans[100]; int fun(lint x) { int ret = 0; while(x) { ret += x%10; x /= 10; } return ret; } int main() { int a, b, c, n, m = 0; scanf("%d%d%d", &a, &b, &c); for(int i=1; i<=81; ++i) { lint x = 1ll*b*pow(i*1.0,a) + 1ll*c; if(x
0 && i==fun(x)) ans[m++] = x; } sort(ans, ans+m); printf("%d\n", m); for(int i=0; i
C. Present time limit per test 2 seconds memory limit per test 256 megabytes input standard input output standard output
Little beaver is a beginner programmer, so informatics is his favorite subject. Soon his informatics teacher is going to have a birthday and the beaver has decided to prepare a present for her. He planted n flowers in a row on his windowsill and started waiting for them to grow. However, after some time the beaver noticed that the flowers stopped growing. The beaver thinks it is bad manners to present little flowers. So he decided to come up with some solutions.
There are m days left to the birthday. The height of the i-th flower (assume that the flowers in the row are numbered from 1 to n from left to right) is equal to ai at the moment. At each of the remaining m days the beaver can take a special watering and water w contiguous