1904B - Collecting Game - CodeForces Solution


dp greedy

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C++ Code:

#include "bits/stdc++.h"
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")
using namespace std;
 
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;
 
typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;
 
typedef vector<int> vi;
typedef vector<vector<int>> vvi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;
 
template<class T> using pq = priority_queue<T>;
template<class T> using pqg = priority_queue<T, vector<T>, greater<T>>;
 
#define FOR(i, a, b) for (int i=a; i<(b); i++)
#define F0R(i, a) for (int i=0; i<(a); i++)
#define FORR(i,a,b) for (int i = (b)-1; i >= a; i--)
#define F0RR(i,a) for (int i = (a)-1; i >= 0; i--)
#define trav(a,x) for (auto& a : x)
#define uid(a, b) uniform_int_distribution<int>(a, b)(rng)
 
#define sz(x) (int)(x).size()
#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound
#define all(x) x.begin(), x.end()
#define ins insert
 
template<class T> bool ckmin(T& a, const T& b) { return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) { return a < b ? a = b, 1 : 0; }
 
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
 
void __print(int x) {cerr << x;}
void __print(long x) {cerr << x;}
void __print(long long x) {cerr << x;}
void __print(unsigned x) {cerr << x;}
void __print(unsigned long x) {cerr << x;}
void __print(unsigned long long x) {cerr << x;}
void __print(float x) {cerr << x;}
void __print(double x) {cerr << x;}
void __print(long double x) {cerr << x;}
void __print(char x) {cerr << '\'' << x << '\'';}
void __print(const char *x) {cerr << '\"' << x << '\"';}
void __print(const string &x) {cerr << '\"' << x << '\"';}
void __print(bool x) {cerr << (x ? "true" : "false");}
 
template<typename T, typename V>
void __print(const pair<T, V> &x) {cerr << '{'; __print(x.first); cerr << ", "; __print(x.second); cerr << '}';}
template<typename T>
void __print(const T &x) {int f = 0; cerr << '{'; for (auto &i: x) cerr << (f++ ? ", " : ""), __print(i); cerr << "}";}
void _print() {cerr << "]\n";}
template <typename T, typename... V>
void _print(T t, V... v) {__print(t); if (sizeof...(v)) cerr << ", "; _print(v...);}

// #define DEBUG

#ifdef DEBUG
#define dbg(x...) cerr <<__func__<<":"<<__LINE__<<" [" << #x << "] = ["; _print(x); cerr << endl;
#else
#define dbg(x...)
#endif


void solve(int n, vl v) {
    vl index(n);
    iota(all(index), 0);
    sort(all(index), [&](ll& a, ll&b) {return v[a] < v[b];});
    vl rev_idx(n);
    FOR(i,0,n) {
        rev_idx[index[i]] = i;
    }
    sort(all(v));

    vl ans(n);
    vl pref(n);
    pref[0] = v[0];
    FOR(i,1,n) {
        pref[i] = pref[i-1] + v[i];
    }
    vl another(n+2, 0);
    int i = 0;
    while(i+1 < n) {
        int j = i;
        while (j+1 < n && v[j+1] <= pref[j]) {
            j++;
        }
        for (int k = i; k <= j; k++) {
            ans[k] = j;
        }
        i = j+1;
    }
    ans[n-1] = n-1;
    FOR(i,0,n) {
        cout << ans[rev_idx[i]] << " ";
    }
    cout << '\n';
}


int main() {
	ios::sync_with_stdio(false); cin.tie(0);
    int t;
    cin >> t;

    FOR(te,0,t) {
        int n;
        cin >> n;
        vl v(n);
        FOR(i,0,n) {
            cin >> v[i];
        }
        solve(n, v);

    }
    return 0;
}


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