// Arti1990, II UWr
#include <bits/stdc++.h>
#define forr(i, n) for(int i=0; i<n; i++)
#define FOREACH(iter, coll) for(auto iter = coll.begin(); iter != coll.end(); ++iter)
#define FOREACHR(iter, coll) for(auto iter = coll.rbegin(); iter != coll.rend(); ++iter)
#define lbound(P,K,FUN) ({auto SSS=P, PPP = P-1, KKK=(K)+1; while(PPP+1!=KKK) {SSS = (PPP+(KKK-PPP)/2); if(FUN(SSS)) KKK = SSS; else PPP = SSS;} PPP;})
#define testy() int _tests; cin>>_tests; FOR(_test, 1, _tests)
#define CLEAR(tab) memset(tab, 0, sizeof(tab))
#define CONTAIN(el, coll) (coll.find(el) != coll.end())
#define FOR(i, a, b) for(int i=a; i<=b; i++)
#define FORD(i, a, b) for(int i=a; i>=b; i--)
#define MP make_pair
#define PB push_back
#define ff first
#define ss second
#define deb(X) X;
#define SIZE(coll) ((int)coll.size())
#define M 1000000007
#define INF 1000000007LL
using namespace std;
int n, m, a;
int tab[1000007];
long long policz(long long l, long long a, long long p)
{
return a*(a-1)*(a-2)/6 + a*(a-1)/2*(l+p) + a*l*p;
}
bool sprawdz(long long s)
{
long long l = 0, a = 0, p = s;
FOR(i, 1, n)
{
l += a;
a = 0;
while(policz(l, a, p) < tab[i])
{
a++;
p--;
if(p < 0)
return 0;
}
}
return 1;
}
int solve()
{
int ile = 0;
cin >> n;
FOR(i, 1, n)
{
cin >> tab[i];
if(tab[i] > 0)
ile++;
}
int pocz = ile-1, kon = ile + 2025, s;
while(pocz+1 < kon)
{
s = (pocz + kon)/2;
//cout << "pocz: " << pocz << ", kon: " << kon << ", s: " << s << '\n';
if(sprawdz(s))
kon = s;
else
pocz = s;
}
cout << kon << '\n';
return 0;
}
int main()
{
std::ios_base::sync_with_stdio(0);
cin.tie(0);
cout.tie(0);
testy()
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 80 81 82 83 84 85 86 87 88 89 | // Arti1990, II UWr #include <bits/stdc++.h> #define forr(i, n) for(int i=0; i<n; i++) #define FOREACH(iter, coll) for(auto iter = coll.begin(); iter != coll.end(); ++iter) #define FOREACHR(iter, coll) for(auto iter = coll.rbegin(); iter != coll.rend(); ++iter) #define lbound(P,K,FUN) ({auto SSS=P, PPP = P-1, KKK=(K)+1; while(PPP+1!=KKK) {SSS = (PPP+(KKK-PPP)/2); if(FUN(SSS)) KKK = SSS; else PPP = SSS;} PPP;}) #define testy() int _tests; cin>>_tests; FOR(_test, 1, _tests) #define CLEAR(tab) memset(tab, 0, sizeof(tab)) #define CONTAIN(el, coll) (coll.find(el) != coll.end()) #define FOR(i, a, b) for(int i=a; i<=b; i++) #define FORD(i, a, b) for(int i=a; i>=b; i--) #define MP make_pair #define PB push_back #define ff first #define ss second #define deb(X) X; #define SIZE(coll) ((int)coll.size()) #define M 1000000007 #define INF 1000000007LL using namespace std; int n, m, a; int tab[1000007]; long long policz(long long l, long long a, long long p) { return a*(a-1)*(a-2)/6 + a*(a-1)/2*(l+p) + a*l*p; } bool sprawdz(long long s) { long long l = 0, a = 0, p = s; FOR(i, 1, n) { l += a; a = 0; while(policz(l, a, p) < tab[i]) { a++; p--; if(p < 0) return 0; } } return 1; } int solve() { int ile = 0; cin >> n; FOR(i, 1, n) { cin >> tab[i]; if(tab[i] > 0) ile++; } int pocz = ile-1, kon = ile + 2025, s; while(pocz+1 < kon) { s = (pocz + kon)/2; //cout << "pocz: " << pocz << ", kon: " << kon << ", s: " << s << '\n'; if(sprawdz(s)) kon = s; else pocz = s; } cout << kon << '\n'; return 0; } int main() { std::ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0); testy() solve(); return 0; } |
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