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Submission #936725

# Submission time Handle Problem Language Result Execution time Memory
936725 2024-03-02T15:38:26 Z GrindMachine Rarest Insects (IOI22_insects) C++17
99.83 / 100
 33 ms 1180 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
 
using namespace std;
using namespace __gnu_pbds;
 
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
 
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
 
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
 
template<typename T>
void amin(T &a, T b) {
    a = min(a,b);
}
 
template<typename T>
void amax(T &a, T b) {
    a = max(a,b);
}
 
#ifdef LOCAL
#include "debug.h"
#else
#define debug(x) 42
#endif
 
/*
 
refs:
https://youtu.be/mm5Nv81P5u8?t=19948
edi
 
*/
 
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
 
#include "insects.h"

int min_cardinality(int n) {
    vector<int> uniq_guys;

    rep(i,n){
        move_inside(i);
        int res = press_button();
        if(res >= 2){
            move_outside(i);
        }
        else{
            uniq_guys.pb(i);
        }
    }

    trav(i,uniq_guys){
        move_outside(i);
    }
    
    if(sz(uniq_guys) == 1){
        return n;
    }

    if(sz(uniq_guys) == n){
        return 1;
    }

    vector<bool> ignore(n);
    vector<int> in_machine;

    auto ok = [&](int mid){
        // check if ans <= mid
        // check if ans < mid+1

        vector<int> good, bad;
 
        rev(i,n-1,0){
            if(ignore[i]) conts;
            if(sz(in_machine)+sz(good) == sz(uniq_guys)*(mid+1)){
                break;
            }
            move_inside(i);
            int res = press_button();
            if(res > mid+1){
                bad.pb(i);
                move_outside(i);
            }
            else{
                good.pb(i);
            }
        }

        if(sz(in_machine)+sz(good) == sz(uniq_guys)*(mid+1)){
            // everybody occurs at least mid+1 times
            // anybody in the machine would stay in the machine forever
            trav(i,good){
                in_machine.pb(i);
                ignore[i] = 1;
            }

            return false;
        }
        else{
            // at least one guy occurs < (mid+1) #of times
            // i.e at least one guys occurs <= mid #of times
            // right endpoint of range decreases
            // so ignore all bad guys in future iterations
            // remove all good guys in this iteration from the machine
            trav(i,bad){
                ignore[i] = 1;
            }
            trav(i,good){
                move_outside(i);
            }

            return true;
        }
    };

    int l = 1, r = n/sz(uniq_guys)-1;
    int ans = n/sz(uniq_guys);
 
    while(l <= r){
        int mid = (l+r) >> 1;
        // is min <= mid?
        if(ok(mid)){
            ans = mid;
            r = mid-1;
        }
        else{
            l = mid+1;
        }
    }
 
    return ans;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 2 ms 600 KB Output is correct
8 Correct 2 ms 600 KB Output is correct
9 Correct 3 ms 428 KB Output is correct
10 Correct 2 ms 664 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 2 ms 344 KB Output is correct
13 Correct 3 ms 344 KB Output is correct
14 Correct 2 ms 600 KB Output is correct
15 Correct 2 ms 600 KB Output is correct
16 Correct 2 ms 600 KB Output is correct
17 Correct 2 ms 436 KB Output is correct
18 Correct 3 ms 600 KB Output is correct
19 Correct 3 ms 436 KB Output is correct
20 Correct 2 ms 432 KB Output is correct
21 Correct 2 ms 600 KB Output is correct
22 Correct 1 ms 344 KB Output is correct

Subtask #2
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 2 ms 600 KB Output is correct
8 Correct 2 ms 600 KB Output is correct
9 Correct 3 ms 428 KB Output is correct
10 Correct 2 ms 664 KB Output is correct
11 Correct 1 ms 344 KB Output is correct
12 Correct 2 ms 344 KB Output is correct
13 Correct 3 ms 344 KB Output is correct
14 Correct 2 ms 600 KB Output is correct
15 Correct 2 ms 600 KB Output is correct
16 Correct 2 ms 600 KB Output is correct
17 Correct 2 ms 436 KB Output is correct
18 Correct 3 ms 600 KB Output is correct
19 Correct 3 ms 436 KB Output is correct
20 Correct 2 ms 432 KB Output is correct
21 Correct 2 ms 600 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 5 ms 344 KB Output is correct
24 Correct 4 ms 948 KB Output is correct
25 Correct 13 ms 856 KB Output is correct
26 Correct 12 ms 692 KB Output is correct
27 Correct 13 ms 684 KB Output is correct
28 Correct 5 ms 344 KB Output is correct
29 Correct 13 ms 600 KB Output is correct
30 Correct 16 ms 412 KB Output is correct
31 Correct 11 ms 856 KB Output is correct
32 Correct 9 ms 600 KB Output is correct
33 Correct 12 ms 692 KB Output is correct
34 Correct 12 ms 692 KB Output is correct
35 Correct 9 ms 860 KB Output is correct
36 Correct 12 ms 852 KB Output is correct
37 Correct 13 ms 688 KB Output is correct
38 Correct 10 ms 600 KB Output is correct
39 Correct 13 ms 428 KB Output is correct
40 Correct 9 ms 1104 KB Output is correct
41 Correct 5 ms 696 KB Output is correct

Subtask #3
74.83 / 75.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 0 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 10 ms 344 KB Output is correct
8 Correct 10 ms 600 KB Output is correct
9 Correct 26 ms 924 KB Output is correct
10 Correct 26 ms 676 KB Output is correct
11 Correct 24 ms 676 KB Output is correct
12 Correct 18 ms 864 KB Output is correct
13 Correct 21 ms 600 KB Output is correct
14 Correct 25 ms 944 KB Output is correct
15 Correct 25 ms 1104 KB Output is correct
16 Correct 17 ms 604 KB Output is correct
17 Correct 28 ms 672 KB Output is correct
18 Correct 26 ms 1104 KB Output is correct
19 Correct 22 ms 424 KB Output is correct
20 Correct 29 ms 676 KB Output is correct
21 Correct 26 ms 596 KB Output is correct
22 Correct 33 ms 1180 KB Output is correct
23 Correct 31 ms 436 KB Output is correct
24 Correct 25 ms 844 KB Output is correct
25 Correct 17 ms 684 KB Output is correct
26 Correct 10 ms 444 KB Output is correct
27 Correct 26 ms 928 KB Output is correct
28 Correct 30 ms 428 KB Output is correct
29 Partially correct 25 ms 592 KB Output is partially correct
30 Correct 21 ms 948 KB Output is correct
31 Correct 24 ms 684 KB Output is correct
32 Correct 26 ms 596 KB Output is correct
33 Correct 25 ms 848 KB Output is correct
34 Correct 29 ms 672 KB Output is correct
35 Partially correct 27 ms 596 KB Output is partially correct
36 Correct 22 ms 848 KB Output is correct
37 Correct 26 ms 424 KB Output is correct
38 Correct 22 ms 928 KB Output is correct
39 Correct 31 ms 692 KB Output is correct
40 Correct 29 ms 688 KB Output is correct
41 Correct 25 ms 676 KB Output is correct
42 Correct 19 ms 852 KB Output is correct
43 Correct 6 ms 436 KB Output is correct
44 Correct 27 ms 680 KB Output is correct
45 Correct 17 ms 668 KB Output is correct
46 Correct 17 ms 1108 KB Output is correct
47 Correct 17 ms 688 KB Output is correct
48 Correct 19 ms 936 KB Output is correct