#include<bits/stdc++.h>
#define pb push_back
#define pob pop_back
#define eb emplace_back
#define fi first
#define se second
#define turbo ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);
#define mid ((l+r)/2)
#define midLL ((l+r)/2LL)
#define mide ((lo+hi)/2)
#define mideLL ((lo+hi)/2LL)
#define endl '\n'
#define random_shuffle shandom_ruffle
#define lowbit(x) x&(-x)
#define bits(x) __builtin_popcount(x)
#define mins(se) (*se.begin())
#define maxs(se) (*--se.end())
#define all(x) x.begin(), x.end()
#define log2_floor(i) (i ? __builtin_clzll(1) - __builtin_clzll(i) : -1)
#define siz(cont) ((int)cont.size())
#define each(it, cont) for(auto &it : cont)
using ll = long long;
using pii = std::pair<int, int>;
using pll = std::pair<ll, ll>;
using pli = std::pair<ll, int>;
using pil = std::pair<int, ll>;
using vll = std::vector<pll>;
using vii = std::vector<pii>;
using vi = std::vector<int>;
using vl = std::vector<ll>;
using vvl = std::vector<vl>;
using vvi = std::vector<vi>;
using vvii = std::vector<vii>;
using vli = std::vector<pli>;
using vvli = std::vector<vli>;
using vil = std::vector<pil>;
using vvil = std::vector<vil>;
using vc = std::vector<char>;
using vvc = std::vector<std::vector<char>>;
using vb = std::vector<bool>;
using vvb = std::vector<vb>;
void err() { std::cout << "\n"; fflush(stdout); }
template<class T, class... Ts>
void err(T arg, Ts &... args) {
std::cout << arg << ' ';
err(args...);
}
using namespace std;
ll po_2(ll n) {
return n*(n-1LL)/2LL;
}
ll po_3(ll n) {
return n*(n-1LL)/2LL*(n-2LL)/3LL;
}
ll mx_calc(ll pre, ll x, ll suf) {
ll res = pre*x*suf;
res += po_2(x)*(suf+pre);
res += po_3(x);
return res;
}
vl v;
int n;
bool check(ll ile) {
ll pre = 0;
for (int i = 0; i < n; i++) {
bool git = false;
for (ll x = 1; x <= ile; x++) {
ll mx_gr = mx_calc(pre, x, ile-x);
if (mx_gr >= v[i]) {
ile-=x;
pre+=x;
git = true;
break;
}
}
if (!git)
return false;
}
return true;
}
void solve() {
cin >> n;
v.clear();
while (n--) {
ll x; cin >> x;
if (x)
v.pb(x);
}
n = siz(v);
int l = 0, r = 202200;
while (l+1 != r) {
if (check(mid))
r = mid;
else l = mid;
}
cout << r << endl;
}
signed main() {
turbo;
int tt; cin >> tt;
while (tt--)
solve();
}
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 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 | #include<bits/stdc++.h> #define pb push_back #define pob pop_back #define eb emplace_back #define fi first #define se second #define turbo ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0); #define mid ((l+r)/2) #define midLL ((l+r)/2LL) #define mide ((lo+hi)/2) #define mideLL ((lo+hi)/2LL) #define endl '\n' #define random_shuffle shandom_ruffle #define lowbit(x) x&(-x) #define bits(x) __builtin_popcount(x) #define mins(se) (*se.begin()) #define maxs(se) (*--se.end()) #define all(x) x.begin(), x.end() #define log2_floor(i) (i ? __builtin_clzll(1) - __builtin_clzll(i) : -1) #define siz(cont) ((int)cont.size()) #define each(it, cont) for(auto &it : cont) using ll = long long; using pii = std::pair<int, int>; using pll = std::pair<ll, ll>; using pli = std::pair<ll, int>; using pil = std::pair<int, ll>; using vll = std::vector<pll>; using vii = std::vector<pii>; using vi = std::vector<int>; using vl = std::vector<ll>; using vvl = std::vector<vl>; using vvi = std::vector<vi>; using vvii = std::vector<vii>; using vli = std::vector<pli>; using vvli = std::vector<vli>; using vil = std::vector<pil>; using vvil = std::vector<vil>; using vc = std::vector<char>; using vvc = std::vector<std::vector<char>>; using vb = std::vector<bool>; using vvb = std::vector<vb>; void err() { std::cout << "\n"; fflush(stdout); } template<class T, class... Ts> void err(T arg, Ts &... args) { std::cout << arg << ' '; err(args...); } using namespace std; ll po_2(ll n) { return n*(n-1LL)/2LL; } ll po_3(ll n) { return n*(n-1LL)/2LL*(n-2LL)/3LL; } ll mx_calc(ll pre, ll x, ll suf) { ll res = pre*x*suf; res += po_2(x)*(suf+pre); res += po_3(x); return res; } vl v; int n; bool check(ll ile) { ll pre = 0; for (int i = 0; i < n; i++) { bool git = false; for (ll x = 1; x <= ile; x++) { ll mx_gr = mx_calc(pre, x, ile-x); if (mx_gr >= v[i]) { ile-=x; pre+=x; git = true; break; } } if (!git) return false; } return true; } void solve() { cin >> n; v.clear(); while (n--) { ll x; cin >> x; if (x) v.pb(x); } n = siz(v); int l = 0, r = 202200; while (l+1 != r) { if (check(mid)) r = mid; else l = mid; } cout << r << endl; } signed main() { turbo; int tt; cin >> tt; while (tt--) solve(); } |
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