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577B.cpp
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577B.cpp
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//21171_somesh || asomesh999
//AC
#include<bits/stdc++.h>
using namespace std;
#define fr(i,a,b) for(long long i=a;i<b;i++)
#define io ios::sync_with_stdio(false);cin.tie(NULL);
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
typedef vector<int> vi;
typedef vector<ll> vl;
long int mod=1000000007;
int k, n;
int dp[1010][1010];
vl arr;
map<ll, int> mp;
int func(int pos, int sum, int taken) {
if(sum == 0 && taken)
return 1;
if(pos >= n) {
return 0;
}
if(dp[pos][sum] != -1) {
return dp[pos][sum];
}
int ans = 0;
ans |= func(pos + 1, sum, taken) | func(pos + 1, (sum + arr[pos]) % k, taken + 1);
return dp[pos][sum] = ans;
}
int main()
{
io
#ifdef SOMU
clock_t startTime = clock();
freopen("input.txt","r",stdin);
#endif
cin >> n >> k;
memset(dp, -1, sizeof dp);
arr.resize(n);
fr(i, 0, n) {
cin >> arr[i];
}
if(n > 1000) {
ll sum = 0;
int ans = 0;
fr(i, 0, n) {
sum += arr[i];
sum %= k;
if(mp[sum] > 0) {
ans = 1;
break;
}
mp[sum]++;
}
if(ans) cout << "YES";
else cout << "NO";
return 0;
}
int flag = func(0, 0, 0);
if(flag) {
cout << "YES";
} else {
cout << "NO";
}
#ifdef SOMU
cerr << endl <<setprecision(20)<< double( clock() - startTime ) / (double)CLOCKS_PER_SEC<< " seconds." << endl;
#endif
return 0;
}