#include <algorithm>
#include <bitset>
#include <cmath>
#include <cstdlib>
#include <ctime>
#include <deque>
#include <iostream>
#include <list>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <vector>
using namespace std;
#define JOIN_(X, Y) X##Y
#define JOIN(X, Y) JOIN_(X, Y)
#define TMP JOIN(tmp, __LINE__)
#define PB push_back
#define SZ(x) int((x).size())
#define REP(i, n) for (int i = 0, TMP = (n); i < TMP; ++i)
#define FOR(i, a, b) for (int i = (a), TMP = (b); i <= TMP; ++i)
#define FORD(i, a, b) for (int i = (a), TMP = (b); i >= TMP; --i)
#ifdef DEBUG
#define DEB(x) (cerr << x)
#else
#define DEB(x)
#endif
typedef long long ll;
typedef vector<int> vi;
typedef pair<int, int> pii;
typedef unsigned int uint;
const int INF = 1e9 + 9;
template <typename S, typename T> ostream &operator<<(ostream &os, const pair<S, T> &p) {
os << "(" << p.first << ", " << p.second << ")";
return os;
}
template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) {
os << "[";
for (int i = 0; i < SZ(vec); ++i) {
os << vec[i];
if (i != SZ(vec) - 1) {
os << ", ";
}
}
os << "]";
return os;
}
ll inline cnt(ll pos, ll players) { return pos * (players - pos - 1); }
bool check(vi t, int players) {
int n = SZ(t);
DEB("check players=" << players << " n=" << n << "\n");
ll cnt_sum = 0;
DEB("cnt:\n");
// REP(i, players) {
// ll c = cnt(i, players);
// // DEB(c << ", ");
// cnt_sum += c;
// }
DEB("\n");
DEB("cnt_sum=" << cnt_sum << "\n");
int pos = 0;
for (int &x : t) {
while (pos < players) {
if (x <= 0) {
break;
}
ll take = min(static_cast<ll>(x), cnt(pos, players));
x -= take;
++pos;
}
if (x > 0) {
// if (players > 10000) {
// DEB("left=" << t << "\n");
// }
return false;
}
}
return true;
}
void inline one() {
int n;
cin >> n;
vi t(n);
REP(i, n) { cin >> t[i]; }
// DEB("input t=" << t << "\n");
int max_players = 1;
while (not check(t, max_players)) {
max_players *= 2;
}
int a = max_players / 2;
int b = max_players;
DEB("a=" << a << " b=" << b << "\n");
while (a <= b) {
int d = (a + b) / 2;
DEB(" d=" << d << "\n");
bool ok = check(t, d);
DEB(" ok=" << ok << "\n");
if (ok) {
b = d - 1;
} else {
a = d + 1;
}
}
cout << a << "\n";
}
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
int z;
cin >> z;
while (z--)
one();
}
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 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 | #include <algorithm> #include <bitset> #include <cmath> #include <cstdlib> #include <ctime> #include <deque> #include <iostream> #include <list> #include <map> #include <queue> #include <set> #include <stack> #include <string> #include <vector> using namespace std; #define JOIN_(X, Y) X##Y #define JOIN(X, Y) JOIN_(X, Y) #define TMP JOIN(tmp, __LINE__) #define PB push_back #define SZ(x) int((x).size()) #define REP(i, n) for (int i = 0, TMP = (n); i < TMP; ++i) #define FOR(i, a, b) for (int i = (a), TMP = (b); i <= TMP; ++i) #define FORD(i, a, b) for (int i = (a), TMP = (b); i >= TMP; --i) #ifdef DEBUG #define DEB(x) (cerr << x) #else #define DEB(x) #endif typedef long long ll; typedef vector<int> vi; typedef pair<int, int> pii; typedef unsigned int uint; const int INF = 1e9 + 9; template <typename S, typename T> ostream &operator<<(ostream &os, const pair<S, T> &p) { os << "(" << p.first << ", " << p.second << ")"; return os; } template <typename T> ostream &operator<<(ostream &os, const vector<T> &vec) { os << "["; for (int i = 0; i < SZ(vec); ++i) { os << vec[i]; if (i != SZ(vec) - 1) { os << ", "; } } os << "]"; return os; } ll inline cnt(ll pos, ll players) { return pos * (players - pos - 1); } bool check(vi t, int players) { int n = SZ(t); DEB("check players=" << players << " n=" << n << "\n"); ll cnt_sum = 0; DEB("cnt:\n"); // REP(i, players) { // ll c = cnt(i, players); // // DEB(c << ", "); // cnt_sum += c; // } DEB("\n"); DEB("cnt_sum=" << cnt_sum << "\n"); int pos = 0; for (int &x : t) { while (pos < players) { if (x <= 0) { break; } ll take = min(static_cast<ll>(x), cnt(pos, players)); x -= take; ++pos; } if (x > 0) { // if (players > 10000) { // DEB("left=" << t << "\n"); // } return false; } } return true; } void inline one() { int n; cin >> n; vi t(n); REP(i, n) { cin >> t[i]; } // DEB("input t=" << t << "\n"); int max_players = 1; while (not check(t, max_players)) { max_players *= 2; } int a = max_players / 2; int b = max_players; DEB("a=" << a << " b=" << b << "\n"); while (a <= b) { int d = (a + b) / 2; DEB(" d=" << d << "\n"); bool ok = check(t, d); DEB(" ok=" << ok << "\n"); if (ok) { b = d - 1; } else { a = d + 1; } } cout << a << "\n"; } int main() { ios::sync_with_stdio(false); cin.tie(0); int z; cin >> z; while (z--) one(); } |
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