```
/*
* Author: Arpit Bhayani
* https://arpitbhayani.me
*/
#include <cmath>
#include <cstdio>
#include <cstdlib>
#include <climits>
#include <deque>
#include <iostream>
#include <list>
#include <limits>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <vector>
#define ll long long
#define MIN(a, b) a < b ? a : b
#define MAX(a, b) a > b ? a : b
using namespace std;
int readline(char *str) {
int i = 0;
char ch;
while((ch = getchar()) != '\n') {
str[i++] = ch;
}
str[i] = '\0';
return i;
}
#define MAX_COINS 51
#define MAX_SUM 251
int arr[51];
ll int dp[251][51];
ll int count(int sum, int n) {
if(sum < 0) {
return 0;
}
if(n < 0 && sum >= 1) {
return 0;
}
if(dp[sum][n] != -1) {
return dp[sum][n];
}
if(sum == 0) {
dp[sum][n] = 1;
return 1;
}
dp[sum][n] = count(sum, n - 1) + count(sum - arr[n], n);
return dp[sum][n];
}
int main(int argc, char *argv[]) {
int sum, n;
scanf("%d%d", &sum, &n);
for(int i = 0 ; i < n; i++) {
scanf("%d", &arr[i]);
}
for(int i = 0 ; i < MAX_SUM; i++) {
for(int j = 0 ; j < MAX_COINS; j++) {
dp[i][j] = -1;
}
}
ll int ans = 0;
ans = count(sum, n-1);
printf("%lld\n", ans);
return 0;
}
```

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