#include <bits/stdc++.h> using namespace std; using LL = long long; #define FOR(i, l, r) for(int i = (l); i <= (r); ++i) #define REP(i, n) FOR(i, 0, (n) - 1) #define ssize(x) int(x.size()) template<class A, class B> auto &operator<<(ostream &o, pair<A, B> p) { return o << '(' << p.first << ", " << p.second << ')'; } template<class T> auto operator<<(ostream &o, T x) -> decltype(x.end(), o) { o << '{'; int i = 0; for (auto e : x) o << (", ")+2*!i++ << e; return o << '}'; } #ifdef DEBUG #define debug(x...) cerr << "[" #x "]: ", [](auto... $) {((cerr << $ << "; "), ...); }(x), cerr << '\n'; #else #define debug(...) {} #endif int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); int n; int mx = 0; cin >> n; vector<int> a(n + 1), pref(n + 1); FOR(i, 1, n) { cin >> a[i]; pref[i] = a[i] + pref[i - 1]; mx = max(mx, abs(pref[i])); } int mx_sum = 3 * mx; vector<int> sums(2 * mx_sum + 1); LL ans = 0; FOR(i1, 0, n) { FOR(k1, 0, n) { FOR(k2, k1 + 1, n) ans += sums[mx_sum + pref[i1] + pref[k2] - pref[k1]]; } FOR(j1, 0, n) { FOR(j2, j1 + 1, n) sums[mx_sum + pref[i1] + pref[j1] - pref[j2]]++; } } map<int, int> segs; FOR(i, 0, n) { FOR(j, i + 1, n) { segs[2 * (pref[i] - pref[j])]++; if (pref[i] == pref[j]) ans += 2; } } FOR(i, 0, n) { FOR(j, i + 1, n) ans -= 3 * segs[pref[j] - pref[i]]; } cout << ans / 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 | #include <bits/stdc++.h> using namespace std; using LL = long long; #define FOR(i, l, r) for(int i = (l); i <= (r); ++i) #define REP(i, n) FOR(i, 0, (n) - 1) #define ssize(x) int(x.size()) template<class A, class B> auto &operator<<(ostream &o, pair<A, B> p) { return o << '(' << p.first << ", " << p.second << ')'; } template<class T> auto operator<<(ostream &o, T x) -> decltype(x.end(), o) { o << '{'; int i = 0; for (auto e : x) o << (", ")+2*!i++ << e; return o << '}'; } #ifdef DEBUG #define debug(x...) cerr << "[" #x "]: ", [](auto... $) {((cerr << $ << "; "), ...); }(x), cerr << '\n'; #else #define debug(...) {} #endif int main() { ios_base::sync_with_stdio(false); cin.tie(nullptr); int n; int mx = 0; cin >> n; vector<int> a(n + 1), pref(n + 1); FOR(i, 1, n) { cin >> a[i]; pref[i] = a[i] + pref[i - 1]; mx = max(mx, abs(pref[i])); } int mx_sum = 3 * mx; vector<int> sums(2 * mx_sum + 1); LL ans = 0; FOR(i1, 0, n) { FOR(k1, 0, n) { FOR(k2, k1 + 1, n) ans += sums[mx_sum + pref[i1] + pref[k2] - pref[k1]]; } FOR(j1, 0, n) { FOR(j2, j1 + 1, n) sums[mx_sum + pref[i1] + pref[j1] - pref[j2]]++; } } map<int, int> segs; FOR(i, 0, n) { FOR(j, i + 1, n) { segs[2 * (pref[i] - pref[j])]++; if (pref[i] == pref[j]) ans += 2; } } FOR(i, 0, n) { FOR(j, i + 1, n) ans -= 3 * segs[pref[j] - pref[i]]; } cout << ans / 6 << '\n'; return 0; } |