#ifndef LOCAL
#pragma GCC optimize("O3")
#endif
#include <bits/stdc++.h>
#define FOR(i,p,k) for(int i=(p);i<=(k);++i)
#define REP(i,n) FOR(i,0,(n)-1)
#define RFOR(i,p,n) for(int i=(p);i>=(n);--i)
#define all(x) (x).begin(),(x).end()
#define rall(x) (x).rbegin(),(x).rend()
#define ssize(x) int((x).size())
#define fi first
#define se second
#define V vector
#define pb push_back
#define eb emplace_back
#define C const
#define pn printf("\n")
using namespace std;
typedef long long ll;
typedef V<int> vi;
typedef V<ll> vll;
typedef const int ci;
typedef const ll cll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
void chmin(auto &a, auto b){a=min(a,b);}
void chmax(auto &a, auto b){a=max(a,b);}
ci inf = 2.1e9;
cll infll = 4.5e18;
int I(){
int z;
scanf("%d", &z);
//cin >> z;
return z;
}
void answer(){
int n = I();
vi ciag;
REP(i, n){
int a = I();
if(a) ciag.eb(a);
}
n = ssize(ciag);
auto kombi = [&](ll a, ll b, ll c){
ll ret = 0;
ret += a*b*c;
ret += b*(b-1)/2 * (a+c);
ret += b*(b-1)*(b-2)/6;
return ret;
};
auto xd = [&](int k){
int mini = 0;
REP(poz, n){
int wymaganie = ciag[poz];
int nowe = k+1;
FOR(suma, mini, k){
int git = 0;
FOR(a, mini, suma){
int b = suma-a;
if(kombi(poz+a, 1+b, n-poz-1 + k-a-b) >= wymaganie) git = 1;
}
if(git){
nowe = suma;
break;
}
}
mini = nowe;
}
return mini <= k;
};
int wyn = inf;
for(int poc = 0, kon = 2000; poc <= kon;){
int sr = (poc+kon)/2;
if(xd(sr)) wyn = sr, kon = sr-1;
else poc = sr+1;
}
printf("%d\n", n+wyn);
}
int main(){
//ios_base::sync_with_stdio(0);
//cin.tie(0);
int tt = 1;
tt = I();
while(tt--) answer();
}
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 90 91 | #ifndef LOCAL #pragma GCC optimize("O3") #endif #include <bits/stdc++.h> #define FOR(i,p,k) for(int i=(p);i<=(k);++i) #define REP(i,n) FOR(i,0,(n)-1) #define RFOR(i,p,n) for(int i=(p);i>=(n);--i) #define all(x) (x).begin(),(x).end() #define rall(x) (x).rbegin(),(x).rend() #define ssize(x) int((x).size()) #define fi first #define se second #define V vector #define pb push_back #define eb emplace_back #define C const #define pn printf("\n") using namespace std; typedef long long ll; typedef V<int> vi; typedef V<ll> vll; typedef const int ci; typedef const ll cll; typedef pair<int, int> pii; typedef pair<ll, ll> pll; void chmin(auto &a, auto b){a=min(a,b);} void chmax(auto &a, auto b){a=max(a,b);} ci inf = 2.1e9; cll infll = 4.5e18; int I(){ int z; scanf("%d", &z); //cin >> z; return z; } void answer(){ int n = I(); vi ciag; REP(i, n){ int a = I(); if(a) ciag.eb(a); } n = ssize(ciag); auto kombi = [&](ll a, ll b, ll c){ ll ret = 0; ret += a*b*c; ret += b*(b-1)/2 * (a+c); ret += b*(b-1)*(b-2)/6; return ret; }; auto xd = [&](int k){ int mini = 0; REP(poz, n){ int wymaganie = ciag[poz]; int nowe = k+1; FOR(suma, mini, k){ int git = 0; FOR(a, mini, suma){ int b = suma-a; if(kombi(poz+a, 1+b, n-poz-1 + k-a-b) >= wymaganie) git = 1; } if(git){ nowe = suma; break; } } mini = nowe; } return mini <= k; }; int wyn = inf; for(int poc = 0, kon = 2000; poc <= kon;){ int sr = (poc+kon)/2; if(xd(sr)) wyn = sr, kon = sr-1; else poc = sr+1; } printf("%d\n", n+wyn); } int main(){ //ios_base::sync_with_stdio(0); //cin.tie(0); int tt = 1; tt = I(); while(tt--) answer(); } |
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