感觉这题有点不好想到。上面的官方题解已经很清楚了。统计每个点的增加次数和减少次数,然后观察它们的关系,得到递推公式,这个思路挺有意思的。
// Date: Wed Nov 29 18:47:27 2023
#include <climits>
#include <cmath>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <functional>
#include <iomanip>
#include <iostream>
#include <map>
#include <queue>
#include <set>
#include <sstream>
#include <stack>
#include <string>
#include <utility>
#include <vector>
using namespace std;
const int INF = 0x3f3f3f3f, MOD = 1e9 + 7;
const double eps = 1e-8;
const int dir[8][2] = {
{0, 1}, {0, -1}, {1, 0}, {-1, 0}, {1, 1}, {1, -1}, {-1, 1}, {-1, -1},
};
typedef long long ll;
typedef unsigned long long ull;
typedef vector<int> VI;
typedef pair<int, int> PII;
const ull Pr = 131;
#define For(i, a, b) for (int i = int(a); i < int(b); ++i)
#define Rof(i, a, b) for (int i = int(b) - 1; i >= int(a); --i)
#define For1(i, a, b) for (int i = int(a); i <= int(b); ++i)
#define Rof1(i, a, b) for (int i = int(b); i >= int(a); --i)
#define ForE(i, j) for (int i = h[j]; i != -1; i = ne[i])
#define f1 first
#define f2 second
#define pb push_back
#define has(a, x) (a.find(x) != a.end())
#define nonempty(a) (!a.empty())
#define all(a) (a).begin(), (a).end()
#define SZ(a) int((a).size())
#ifdef _DEBUG
#define debug1(x) cout << #x " = " << x << endl;
#define debug2(x, y) cout << #x " = " << x << " " #y " = " << y << endl;
#define debug3(x, y, z) \
cout << #x " = " << x << " " #y " = " << y << " " #z " = " << z << endl;
#else
#define debug1
#define debug2
#define debug3
#endif
const int N = 200010;
int t, n;
ll a[N], b[N];
int main(void) {
#ifdef _DEBUG
freopen("1693a.in", "r", stdin);
#endif
std::ios::sync_with_stdio(false);
cin.tie(NULL);
cout.tie(NULL);
cin >> t;
while (t--) {
cin >> n;
For1(i, 1, n) { cin >> a[i]; }
bool mark = true, zero = false;
ll sum = 0;
b[1] = a[1];
sum = b[1];
if (b[1] < 0) {
mark = false;
} else if (b[1] == 0) {
zero = true;
}
For1(i, 2, n) {
sum += a[i];
b[i] = a[i] + b[i - 1];
if (b[i] < 0) {
mark = false;
break;
} else if (b[i] > 0 && zero) {
mark = false;
break;
} else if (b[i] == 0) {
zero = true;
}
}
if (sum && mark)
mark = false;
cout << (mark ? "YES\n" : "NO\n");
}
return 0;
}