Problem:
Score : 300 points

Problem Statement

There are N boxes arranged in a row.
Initially, the i-th box from the left contains a_i candies.

Snuke can perform the following operation any number of times:

Choose a box containing at least one candy, and eat one of the candies in the chosen box.

His objective is as follows:

Any two neighboring boxes contain at most x candies in total.

Find the minimum number of operations required to achieve the objective.

Constraints

2 ≤ N ≤ 10^5

0 ≤ a_i ≤ 10^9

0 ≤ x ≤ 10^9

Input

The input is given from Standard Input in the following format:

N x
a_1 a_2 ... a_N

Output

Print the minimum number of operations required to achieve the objective.

Sample Input 1

3 3
2 2 2

Sample Output 1

1

Eat one candy in the second box.
Then, the number of candies in each box becomes (2, 1, 2).

Sample Input 2

6 1
1 6 1 2 0 4

Sample Output 2

11

For example, eat six candies in the second box, two in the fourth box, and three in the sixth box.
Then, the number of candies in each box becomes (1, 0, 1, 0, 0, 1).

Sample Input 3

5 9
3 1 4 1 5

Sample Output 3

0

The objective is already achieved without performing operations.

Sample Input 4

2 0
5 5

Sample Output 4

10

All the candies need to be eaten.

Solution in C++ (GCC 9.2.1) (judge verdict: Wrong Answer)

#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using ld = long double;
#define INF 1e12

#define PB push_back
#define PF push_front
#define fi first
#define se second
#define pii pair<int, int>
#define pll pair<ll, ll>
#define vi vector<int>
#define vpi vector<pii>
#define vll vector<ll>
#define vpl vector<pll>
#define vvi vector<vector<int>>
#define vvl vector<vector<ll>>
#define MX(x) *max_element(all(x))
#define MN(x) *min_element(all(x))
#define ios ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0)
#define pr_d(x) cout << fixed << setprecision(15) << x << endl
#define ud(c, x) distance(c.begin(), upper_bound(all(c), x))
#define ld(c, x) distance(c.begin(), lower_bound(all(c), x))
#define rep(i, n) for (int i = 0; i < (n); ++i)
#define rep2(i, a, b) for (int i = (a); i < (b); ++i)
#define rep3(i, n) for (int i = (n - 1); i >= 0; --i)
#define rep4(i, a, b) for (int i = (a); i > (b); --i)
#define pb push_back
#define out(x) cout << x << "\n"
bool odd(int i) { return i % 2; }

#define all(v) v.begin(), v.end()
#define size(x) int(x.size())

int gcd(int a, int b) { return __gcd(a, b); }
int lcm(int a, int b) { return a * (b / gcd(a, b)); }
void Yes_No(bool f) {
  if (f)
    printf("Yes\n");
  else
    printf("No\n");
}

void deb_p(pii p) { printf("pair = %d %d\n", p.fi, p.se); }
void deb_i(int i) { printf("i = %d\n", i); }
void deb_v(vector<int> v) {
  printf("v = ");
  for (auto i : v) printf("%d ", i);
  printf("\n");
}
template <typename T>
bool chmax(T& a, const T& b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
template <typename T>
bool chmin(T& a, const T& b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
//-------------------ここから回答する-----------------------

void solve(void) {
  int n, x;
  cin >> n >> x;
  vector<int> a(n);
  rep(i, n) cin >> a[i];
  vector<int> sum(n - 1);
  rep(i, n - 1) sum[i] = a[i] + a[i + 1];
  int ans = 0;
  for (int i = 0; i < n - 1; ++i) {
    if (sum[i] <= x)
      continue;
    else {
      int d = min(a[i + 1], sum[i] - x);
      ans += d;
      sum[i] -= d;
      sum[i + 1] -= d;
    }
  }
  if (sum[0] > x) {
    int d = sum[0] - x;
    sum[0] -= d;
    ans += d;
  }
  if (sum[n - 2] > x) {
    int d = sum[n - 2] - x;
    sum[n - 2] -= d;
    ans += d;
  }
  cout << ans << endl;
}
int main(void) { solve(); }