// #pragma GCC optimize("Ofast")
#include "bits/stdc++.h"
using namespace std;
#define all(x) x.begin(),x.end()
template<typename A, typename B> ostream& operator<<(ostream &os, const pair<A, B> &p) { return os << p.first << " " << p.second; }
template<typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type> ostream& operator<<(ostream &os, const T_container &v) { string sep; for (const T &x : v) os << sep << x, sep = " "; return os; }
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#define ASSERT(...) 42
#endif
typedef long long ll;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pi;
const int oo = 1e9;
const long long MD = 1e9+7;
using mint = ll;
int A[int(2e8)];
int MID = 1e8;
int main() {
ios_base::sync_with_stdio(false);
cin.tie(NULL);
int n; cin >> n;
vi a(n);
for(auto& i : a) cin >> i;
vi p(n+1);
for(int i=0;i<n;++i) p[i+1]=p[i]+a[i];
vi b;
for(int i=0;i<n;++i) {
int cur=0;
for(int j=i;j<n;++j) {
cur+=a[j];
b.push_back(cur);
}
}
sort(all(b));
ll ones=0;
ll twos=0;
for(int x : b) {
twos+=upper_bound(all(b),-x*2) - lower_bound(all(b),-x*2);
ones+=x==0;
}
ll threes=0;
// number of tuples intervals (a,b,c), with a+b+c=0
for(int l=0;l<=n;++l) {
for(auto y : b) {
threes+=A[MID-(y+p[l])];
}
for(auto x : b) {
A[MID+(x-p[l])]++;
}
}
cout << (threes-(twos-ones)*3-ones)/6 << '\n';
}
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 | // #pragma GCC optimize("Ofast") #include "bits/stdc++.h" using namespace std; #define all(x) x.begin(),x.end() template<typename A, typename B> ostream& operator<<(ostream &os, const pair<A, B> &p) { return os << p.first << " " << p.second; } template<typename T_container, typename T = typename enable_if<!is_same<T_container, string>::value, typename T_container::value_type>::type> ostream& operator<<(ostream &os, const T_container &v) { string sep; for (const T &x : v) os << sep << x, sep = " "; return os; } #ifdef LOCAL #include "debug.h" #else #define debug(...) 42 #define ASSERT(...) 42 #endif typedef long long ll; typedef vector<int> vi; typedef vector<vi> vvi; typedef pair<int,int> pi; const int oo = 1e9; const long long MD = 1e9+7; using mint = ll; int A[int(2e8)]; int MID = 1e8; int main() { ios_base::sync_with_stdio(false); cin.tie(NULL); int n; cin >> n; vi a(n); for(auto& i : a) cin >> i; vi p(n+1); for(int i=0;i<n;++i) p[i+1]=p[i]+a[i]; vi b; for(int i=0;i<n;++i) { int cur=0; for(int j=i;j<n;++j) { cur+=a[j]; b.push_back(cur); } } sort(all(b)); ll ones=0; ll twos=0; for(int x : b) { twos+=upper_bound(all(b),-x*2) - lower_bound(all(b),-x*2); ones+=x==0; } ll threes=0; // number of tuples intervals (a,b,c), with a+b+c=0 for(int l=0;l<=n;++l) { for(auto y : b) { threes+=A[MID-(y+p[l])]; } for(auto x : b) { A[MID+(x-p[l])]++; } } cout << (threes-(twos-ones)*3-ones)/6 << '\n'; } |
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