#include "bits/stdc++.h" // Tomasz Nowak
using namespace std; // University of Warsaw
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() {
cin.tie(0)->sync_with_stdio(0);
int n;
cin >> n;
vector<int> a(n);
for(int &ai : a)
cin >> ai;
vector<pair<LL, int>> sorted(n);
REP(i, n)
sorted[i] = {a[i], i};
sort(sorted.begin(), sorted.end());
vector<LL> pref(n);
REP(i, n) {
pref[i] = sorted[i].first;
if(i > 0)
pref[i] += pref[i - 1];
}
auto get_sum_smaller = [&](LL x) {
auto it = upper_bound(sorted.begin(), sorted.end(), pair(x, -1));
// debug(x, int(it - sorted.begin()));
if(it == sorted.begin())
return 0LL;
return pref[int(it - sorted.begin()) - 1];
};
vector<int> answer(n, -1);
REP(i, n) {
debug(a[i], get_sum_smaller(a[i]));
LL sum = get_sum_smaller(a[i]) + a[i];
debug(i, a[i], sum);
bool possible = true;
while(sum != pref.back()) {
LL new_sum = get_sum_smaller(sum);
if(sum == new_sum) {
possible = false;
break;
}
sum = new_sum;
}
debug(i, a[i], possible);
answer[i] = possible;
}
for(int x : answer)
cout << (x ? 'T' : 'N');
cout << '\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 63 64 65 66 67 68 | #include "bits/stdc++.h" // Tomasz Nowak using namespace std; // University of Warsaw 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() { cin.tie(0)->sync_with_stdio(0); int n; cin >> n; vector<int> a(n); for(int &ai : a) cin >> ai; vector<pair<LL, int>> sorted(n); REP(i, n) sorted[i] = {a[i], i}; sort(sorted.begin(), sorted.end()); vector<LL> pref(n); REP(i, n) { pref[i] = sorted[i].first; if(i > 0) pref[i] += pref[i - 1]; } auto get_sum_smaller = [&](LL x) { auto it = upper_bound(sorted.begin(), sorted.end(), pair(x, -1)); // debug(x, int(it - sorted.begin())); if(it == sorted.begin()) return 0LL; return pref[int(it - sorted.begin()) - 1]; }; vector<int> answer(n, -1); REP(i, n) { debug(a[i], get_sum_smaller(a[i])); LL sum = get_sum_smaller(a[i]) + a[i]; debug(i, a[i], sum); bool possible = true; while(sum != pref.back()) { LL new_sum = get_sum_smaller(sum); if(sum == new_sum) { possible = false; break; } sum = new_sum; } debug(i, a[i], possible); answer[i] = possible; } for(int x : answer) cout << (x ? 'T' : 'N'); cout << '\n'; } |
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