#include<bits/stdc++.h>
#define MAXN 501
using namespace std;
int n;
int tab[MAXN];
int sub[MAXN][MAXN];
map<int, vector<short> > sum;
map<int, vector<short> > sum2;
map<int, int> sum3;
long long w1, w2, w3;
int main() {
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
w1 = w2 = w3 = 0;
cin >> n;
for (int i = 0; i < n; i++) {
cin >> tab[i];
sub[i][i] = tab[i];
}
if(n == 1) {
cout<<0<<"\n";
return 0;
}
if(n == 2) {
cout<<(tab[0] == -tab[1])<<"\n";
return 0;
}
for (int i = 0; i < n; i++) {
for (int j = i + 1; j < n; j++) {
sub[i][j] = sub[i][j - 1] + tab[j];
}
}
for (int k = 0; k < n; k++) {
for (int i = 0; i < n; i++) {
for (int j = i; j < n; j++) {
sum[sub[i][j] + sub[k][n - 1]].push_back(k);
sum2[sub[k + 1][n - 1] - sub[i][j]].push_back(k);
}
}
}
for (int i = 0; i < n; i++) {
for (int j = i; j < n; j++) {
sum3[sub[i][j] << 1]++;
if (sub[i][j] == 0) {
w3++;
}
}
}
for (pair<int, vector<short> > e : sum) {
vector<short> left = e.second;
vector<short> right = sum2[e.first];
int j = 0;
for (int i = 0; i < left.size(); i++) {
while(j < right.size() && left[i] > right[j]) {
j++;
if(j == right.size()) {
goto g;
}
}
w1 += right.size() - j;
}
g:
continue;
}
for (int i = 0; i < n; i++) {
for (int j = i; j < n; j++) {
w2 += sum3[-sub[i][j]];
}
}
cout<<(w1 - 3 * w2 + 2 * w3) / 6<<"\n";
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 | #include<bits/stdc++.h> #define MAXN 501 using namespace std; int n; int tab[MAXN]; int sub[MAXN][MAXN]; map<int, vector<short> > sum; map<int, vector<short> > sum2; map<int, int> sum3; long long w1, w2, w3; int main() { ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); w1 = w2 = w3 = 0; cin >> n; for (int i = 0; i < n; i++) { cin >> tab[i]; sub[i][i] = tab[i]; } if(n == 1) { cout<<0<<"\n"; return 0; } if(n == 2) { cout<<(tab[0] == -tab[1])<<"\n"; return 0; } for (int i = 0; i < n; i++) { for (int j = i + 1; j < n; j++) { sub[i][j] = sub[i][j - 1] + tab[j]; } } for (int k = 0; k < n; k++) { for (int i = 0; i < n; i++) { for (int j = i; j < n; j++) { sum[sub[i][j] + sub[k][n - 1]].push_back(k); sum2[sub[k + 1][n - 1] - sub[i][j]].push_back(k); } } } for (int i = 0; i < n; i++) { for (int j = i; j < n; j++) { sum3[sub[i][j] << 1]++; if (sub[i][j] == 0) { w3++; } } } for (pair<int, vector<short> > e : sum) { vector<short> left = e.second; vector<short> right = sum2[e.first]; int j = 0; for (int i = 0; i < left.size(); i++) { while(j < right.size() && left[i] > right[j]) { j++; if(j == right.size()) { goto g; } } w1 += right.size() - j; } g: continue; } for (int i = 0; i < n; i++) { for (int j = i; j < n; j++) { w2 += sum3[-sub[i][j]]; } } cout<<(w1 - 3 * w2 + 2 * w3) / 6<<"\n"; return 0; } |
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