// kody zaczerpnięte ze strony https://cp-algorithms.com/algebra/fft.html
#include<iostream> 
#include<algorithm>
#include<vector>
#include<cmath>
#include<ctime>
#include<cstring>
#include<limits>
#include<complex>
using namespace std;
using cd = complex<long double>;
const long double PI = acos(-1);
void fft(vector<cd> & a, bool invert) {
    int n = a.size();
    for (int i = 1, j = 0; i < n; i++) {
        int bit = n >> 1;
        for (; j & bit; bit >>= 1)
            j ^= bit;
        j ^= bit;
        if (i < j)
            swap(a[i], a[j]);
    }
    for (int len = 2; len <= n; len <<= 1) {
        long double ang = 2 * PI / len * (invert ? -1 : 1);
        cd wlen(cos(ang), sin(ang));
        for (int i = 0; i < n; i += len) {
            cd w(1);
            for (int j = 0; j < len / 2; j++) {
                cd u = a[i+j], v = a[i+j+len/2] * w;
                a[i+j] = u + v;
                a[i+j+len/2] = u - v;
                w *= wlen;
            }
        }
    }
    if (invert) {
        for (cd & x : a)
            x /= n;
    }
}
vector<long long> multiply(vector<long long> const& a, vector<long long> const& b) {
    vector<cd> fa(a.begin(), a.end()), fb(b.begin(), b.end());
    int n = 1;
    while (n < a.size() + b.size()) 
        n <<= 1;
    fa.resize(n);
    fb.resize(n);
    fft(fa, false);
    fft(fb, false);
    for (int i = 0; i < n; i++)
        fa[i] *= fb[i];
    fft(fa, true);
    vector<long long> result(n);
    for (int i = 0; i < n; i++)
        result[i] = round(fa[i].real());
    return result;
}
int main() {
	ios::sync_with_stdio(0);
	//cout<<fixed<<numeric_limits<double>::max();
	int N,S[501];
	cin>>N;
	for(int i=0; i<501; ++i) S[i] = 0;
	vector<int> V;
	for(int i=1; i<=N; ++i) {
		int a;
		cin>>a;
		S[i] = S[i-1] + a;
	}
	for(int i=1; i<=N; ++i)
	for(int j=i; j<=N; ++j) {
		V.push_back(S[j] - S[i-1]);
	}
	sort(V.begin(),V.end());
	long long pom = 0;
	for(int i=0; i<V.size(); ++i) if(V[i] == 0) pom++;
	for(int i=0; i<V.size(); ++i)
	for(int j=i+1; j<V.size(); ++j) {
		if(V[i]*2 + V[j] == 0) pom += 3;
		if(V[i] + V[j]*2 == 0) pom += 3;
	}
	int Min = V[0];
	if(Min > 0 || V[V.size()-1] < 0) { cout<<0<<endl; return 0; }
	int R = V.size();
	vector<long long> P;
	for(int i=0; i<(V[R-1] - V[0] + 1); ++i) P.push_back(0);
	for(int i=0; i<R; ++i) P[V[i] - Min] += 1;
	vector<long long> ans;
	ans = multiply(P,P);
	long long out = 0;
	for(int i=-Min; i<P.size(); ++i) if(2 * (-Min) - (i + Min) >= 0) out += (long long)P[i] * (long long)ans[2 * (-Min) - (i + Min)];
	for(int i=-Min-1; i>=0; --i) if(2 * (-Min) + (-Min - i) < ans.size()) out += (long long)P[i] * (long long)ans[2 * (-Min) + (-Min - i)];
	cout<<(out-pom) / 6<<endl;
	
	return 0;
}
        1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107  | // kody zaczerpnięte ze strony https://cp-algorithms.com/algebra/fft.html #include<iostream> #include<algorithm> #include<vector> #include<cmath> #include<ctime> #include<cstring> #include<limits> #include<complex> using namespace std; using cd = complex<long double>; const long double PI = acos(-1); void fft(vector<cd> & a, bool invert) { int n = a.size(); for (int i = 1, j = 0; i < n; i++) { int bit = n >> 1; for (; j & bit; bit >>= 1) j ^= bit; j ^= bit; if (i < j) swap(a[i], a[j]); } for (int len = 2; len <= n; len <<= 1) { long double ang = 2 * PI / len * (invert ? -1 : 1); cd wlen(cos(ang), sin(ang)); for (int i = 0; i < n; i += len) { cd w(1); for (int j = 0; j < len / 2; j++) { cd u = a[i+j], v = a[i+j+len/2] * w; a[i+j] = u + v; a[i+j+len/2] = u - v; w *= wlen; } } } if (invert) { for (cd & x : a) x /= n; } } vector<long long> multiply(vector<long long> const& a, vector<long long> const& b) { vector<cd> fa(a.begin(), a.end()), fb(b.begin(), b.end()); int n = 1; while (n < a.size() + b.size()) n <<= 1; fa.resize(n); fb.resize(n); fft(fa, false); fft(fb, false); for (int i = 0; i < n; i++) fa[i] *= fb[i]; fft(fa, true); vector<long long> result(n); for (int i = 0; i < n; i++) result[i] = round(fa[i].real()); return result; } int main() { ios::sync_with_stdio(0); //cout<<fixed<<numeric_limits<double>::max(); int N,S[501]; cin>>N; for(int i=0; i<501; ++i) S[i] = 0; vector<int> V; for(int i=1; i<=N; ++i) { int a; cin>>a; S[i] = S[i-1] + a; } for(int i=1; i<=N; ++i) for(int j=i; j<=N; ++j) { V.push_back(S[j] - S[i-1]); } sort(V.begin(),V.end()); long long pom = 0; for(int i=0; i<V.size(); ++i) if(V[i] == 0) pom++; for(int i=0; i<V.size(); ++i) for(int j=i+1; j<V.size(); ++j) { if(V[i]*2 + V[j] == 0) pom += 3; if(V[i] + V[j]*2 == 0) pom += 3; } int Min = V[0]; if(Min > 0 || V[V.size()-1] < 0) { cout<<0<<endl; return 0; } int R = V.size(); vector<long long> P; for(int i=0; i<(V[R-1] - V[0] + 1); ++i) P.push_back(0); for(int i=0; i<R; ++i) P[V[i] - Min] += 1; vector<long long> ans; ans = multiply(P,P); long long out = 0; for(int i=-Min; i<P.size(); ++i) if(2 * (-Min) - (i + Min) >= 0) out += (long long)P[i] * (long long)ans[2 * (-Min) - (i + Min)]; for(int i=-Min-1; i>=0; --i) if(2 * (-Min) + (-Min - i) < ans.size()) out += (long long)P[i] * (long long)ans[2 * (-Min) + (-Min - i)]; cout<<(out-pom) / 6<<endl; return 0; }  | 
            
        
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