#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll MAXN = 2e5 + 5;
ll tab[MAXN];
ll wynik(ll val, ll pref, ll suff){
if(val == 0) return 0;
if(val == 1) return val * pref * suff;
if(val == 2) return val * pref * suff + val * (val - 1) / 2 * (pref + suff);
else return val * pref * suff + val * (val - 1) / 2 * (pref + suff) + val * (val - 1) * (val - 2) / 6;
}
ll zdobadz(ll pref, ll sum, ll i){
ll p = 0;
ll k = sum - pref;
while(p != k){
ll sr = (p + k) / 2;
ll suff = sum - pref - sr;
ll v = wynik(sr, pref, suff);
if(v >= tab[i]){
k = sr;
}
else{
p = sr + 1;
}
}
return p;
}
bool czy(ll val, ll n){
ll pref = 0;
for(int i = 1; i <= n; ++i){
ll il = zdobadz(pref, val, i);
if(pref + il > val) return false;
if(wynik(il, pref, val - pref - il) < tab[i]) return false;
pref += il;
}
return true;
}
void solve(){
ll n;
cin >> n;
for(int i = 1; i <= n; ++i){
cin >> tab[i];
}
ll p = 3;
ll k = 3e6;
while(p != k){
ll sr = (p + k) / 2;
if(czy(sr, n)){
k = sr;
}
else{
p = sr + 1;
}
}
cout << p << "\n";
for(int i = 1; i <= n; ++i){
tab[i] = 0;
}
return;
}
int main(){
ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
int t;
cin >> t;
while(t--){
solve();
}
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 | #include <bits/stdc++.h> using namespace std; typedef long long ll; const ll MAXN = 2e5 + 5; ll tab[MAXN]; ll wynik(ll val, ll pref, ll suff){ if(val == 0) return 0; if(val == 1) return val * pref * suff; if(val == 2) return val * pref * suff + val * (val - 1) / 2 * (pref + suff); else return val * pref * suff + val * (val - 1) / 2 * (pref + suff) + val * (val - 1) * (val - 2) / 6; } ll zdobadz(ll pref, ll sum, ll i){ ll p = 0; ll k = sum - pref; while(p != k){ ll sr = (p + k) / 2; ll suff = sum - pref - sr; ll v = wynik(sr, pref, suff); if(v >= tab[i]){ k = sr; } else{ p = sr + 1; } } return p; } bool czy(ll val, ll n){ ll pref = 0; for(int i = 1; i <= n; ++i){ ll il = zdobadz(pref, val, i); if(pref + il > val) return false; if(wynik(il, pref, val - pref - il) < tab[i]) return false; pref += il; } return true; } void solve(){ ll n; cin >> n; for(int i = 1; i <= n; ++i){ cin >> tab[i]; } ll p = 3; ll k = 3e6; while(p != k){ ll sr = (p + k) / 2; if(czy(sr, n)){ k = sr; } else{ p = sr + 1; } } cout << p << "\n"; for(int i = 1; i <= n; ++i){ tab[i] = 0; } return; } int main(){ ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); int t; cin >> t; while(t--){ solve(); } return 0; } |
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