9 13
6 14 19 5 -5 6 -10 20 8
 8 9
6 -1 5 -5 -8 -7 -8 -7
 10 7
-9 3 -4 -22 4 -17 0 -14 3 -2
 6 2
-2 3 0 -2 0 0
 5 10
-8 -24 0 -22 12
 5 13756
-2 -9 -10 0 10
 7 3
1 -3 0 3 -1 0 2
 9 9
-3 2 0 -2 -7 -1 0 5 3
 2 3
2 0
 19 78701
1 0 -1 0 -1 -1 0 1 0 -1 1 1 -1 1 0 0 -1 0 0
 5 4
-1 0 0 1 -1
 6 4
-1 0 2 -4 0 5
 20 23036
-1 1 -1 -1 -1 -1 1 -1 -1 0 0 1 1 0 0 1 0 0 -1 -1
 5 4
-1 0 -3 0 3
 12 82016
1 -2 -1 -1 -2 -1 0 -2 -1 1 -2 2
 7 4
-6 0 2 -3 0 4 0
 4 4
2 2 0 1
 6 1
-3 0 0 0 -2 3
 8 26
-4 9 -14 -11 0 7 23 -15
 20 23079
0 1 1 -1 1 0 -1 -1 0 0 1 -1 1 1 1 0 0 1 0 1
 1 1
1
 7 8555
-2 -3 -2 3 0 -2 0
 4 100
-100 0 -50 100
 3 14
12 12 -8
 1 1
2
 10 23
9 7 14 16 -13 -22 24 -3 -12 14
 8 11
12 -12 -9 3 -22 -21 1 3
 19 49926
-2 0 2 0 0 -2 2 -1 -1 0 0 0 1 0 1 1 -2 2 2
 16 76798
-1 11 -7 -4 0 -11 -12 3 0 -7 6 -4 8 6 5 -10
 9 5
-2 0 3 -4 0 4 -3 -2 0

-1
 -1
 1
 1
 1
 1
 -1
 2
 0
 1
 1
 -1
 1
 1
 1
 1
 -1
 1
 -1
 0
 0
 1
 1
 -1
 -1
 -1
 -1
 1
 1
 1

#include <bits/stdc++.h>
#pragma GCC optimize("O3")
using namespace std;
long long int mod = 1000000007;
long long int inf = 1000000000000000010;
long long int ninf = -1000000000000000010;
double PI = 3.141592654;
template <typename T>
inline T gcd(T a, T b) {
  T t;
  if (a < b) {
    while (a) {
      t = a;
      a = b % a;
      b = t;
    }
    return b;
  } else {
    while (b) {
      t = b;
      b = a % b;
      a = t;
    }
    return a;
  }
}
long long int power(long long int x, long long int y) {
  long long int ans = 1;
  while (y > 0) {
    if (y & 1) ans = (ans * x) % mod;
    x = (x * x) % mod;
    y = y >> 1;
  }
  return ans;
}
template <typename Arg1>
void __f(const char* name, Arg1&& arg1) {
  cerr << name << " : " << arg1 << std::endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args) {
  const char* comma = strchr(names + 1, ',');
  cerr.write(names, comma - names) << " : " << arg1 << " | ";
  __f(comma + 1, args...);
}
long long int arr[100010] = {0}, maxi[100010] = {0}, cum[100010] = {0};
int main() {
  long long int n, d, cnt = 0, sum = 0;
  scanf("%lld%lld", &n, &d);
  for (long long int i = (0); i < (n); i++) {
    scanf("%lld", &arr[i]);
    cum[i] = cum[max(0ll, i - 1)] + arr[i];
  }
  maxi[n - 1] = d - cum[n - 1];
  for (long long int i = (n - 2); i >= (0); i--)
    maxi[i] = min(maxi[i + 1], d - cum[i]);
  for (long long int i = (0); i < (n); i++) {
    cum[i] = 0;
    cum[i] = cum[max(0ll, i - 1)] + arr[i];
    if (arr[i] == 0 && cum[i] < 0) {
      if ((maxi[i] - sum) < 0) return 0 * printf("%s\n", "-1");
      cum[i] += (maxi[i] - sum);
      sum = maxi[i];
      cnt++;
      if (cum[i] < 0) return 0 * printf("%s\n", "-1");
    }
    if (cum[i] > d) return 0 * printf("%s\n", "-1");
  }
  printf("%lld\n", cnt);
  return 0;
}
