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Submission #570737

# Submission time Handle Problem Language Result Execution time Memory
570737 2022-05-31T08:07:01 Z vbee Sure Bet (CEOI17_sure) C++14
100 / 100
 202 ms 7124 KB 
#include <bits/stdc++.h>
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define ii pair<int,int>
#define vii vector<ii>
#define vi vector<int>
#define fi first
#define se second
#define TASK "surebet"
#define ll long long
#define pll pair<ll, ll>
#define vll vector<ll>
#define vpll vector<pll>
#define pb push_back
#define MASK(i) (1 << (i))
#define BIT(x, i) ((x >> (i)) & 1)

using namespace std;

const int oo = 1e9 + 7;
const ll loo = (ll)1e18 + 7;
const int N = 1e5 + 7;

int n;
long double a[N], b[N], res, pre[N], pre2[N];
void trau(int i, vector<int> state){
    if (i == n){
        long double l = 0, r = 0, penalty = 0;
        for (int i = 0; i < state.size(); i++) {
            if (state[i] == 3) penalty -= 2;
            else if (state[i] != 4) penalty--;
        }
        for (int i = 0; i < state.size(); i++) if (state[i] != 4) {
            if (state[i] != 2){
                l += a[i + 1];
            }
            if (state[i] != 1){
                r += b[i + 1];
            }
        }
        res = max(res, min(l, r) + penalty);
        return ;
    }
    for (int j = 1; j <= 4; j++){
        vector<int> newstate = state;
        newstate.pb(j);
        trau(i + 1, newstate);
    }
}
int bs(long double cursum){
    int l = 1, r = n, ret = -1;
    while (l <= r){
        int middle = (r + l) / 2;
        if (pre2[middle] >= cursum) {
            ret = middle;
            r = middle - 1;
        }
        else l = middle + 1;
    }
    return ret;
}
int bs2(long double cursum){
    int l = 1, r = n, ret = -1;
    while (l <= r){
        int middle =  (r + l) / 2;
        if (pre[middle] >= cursum) {
            ret = middle;
            r = middle - 1;
        }
        else l = middle + 1;
    }
    return ret;
}
int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
//    freopen(TASK".inp", "r", stdin);
//    freopen(TASK".out", "w", stdout);
    // Nhớ tắt file
    cin >> n;
    for (int i = 1; i <= n; i++){
        cin >> a[i] >> b[i];
    }
    if (n <= 10){
        vector<int> temp;
        trau(0, temp);
        cout << fixed << setprecision(4) << res;
    }
    else if (n <= 1000){
        sort(a + 1, a + 1 + n, greater<long double>());
        sort(b + 1, b + 1 + n, greater<long double>());
        for (int i = 1; i <= n; i++) pre[i] = pre[i - 1] + a[i];
        for (int i = 1; i <= n; i++) pre2[i] = pre2[i - 1] + b[i];
        for (int i = 0; i <= n; i++){
            for (int j = 0; j <= n; j++){
                res = max(res, min(pre[i], pre2[j]) - i - j);
            }
        }
        cout << fixed << setprecision(4) << res;
    }
    else {
        sort(a + 1, a + 1 + n, greater<long double>());
        sort(b + 1, b + 1 + n, greater<long double>());
        for (int i = 1; i <= n; i++) pre[i] = pre[i - 1] + a[i];
        for (int i = 1; i <= n; i++) pre2[i] = pre2[i - 1] + b[i];
        for (int i = 1; i <= n; i++){
            long double cursum = pre[i];
            int numget = bs(cursum);
            if (numget != -1){
                res = max(res, cursum - i - numget);
            }
        }
        for (int i = 1; i <= n; i++){
            long double cursum = pre2[i];
            int numget = bs2(cursum);
            if (numget != -1){
                res = max(res, cursum - i - numget);
            }
        }
        cout << fixed << setprecision(4) << res;
    }
    return 0;
}

Compilation message

sure.cpp: In function 'void trau(int, std::vector<int>)':
sure.cpp:29:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   29 |         for (int i = 0; i < state.size(); i++) {
      |                         ~~^~~~~~~~~~~~~~
sure.cpp:33:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   33 |         for (int i = 0; i < state.size(); i++) if (state[i] != 4) {
      |                         ~~^~~~~~~~~~~~~~

Subtask #1
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 201 ms 340 KB Output is correct
4 Correct 186 ms 340 KB Output is correct
5 Correct 202 ms 340 KB Output is correct
6 Correct 184 ms 340 KB Output is correct

Subtask #2
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 201 ms 340 KB Output is correct
4 Correct 186 ms 340 KB Output is correct
5 Correct 202 ms 340 KB Output is correct
6 Correct 184 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 9 ms 340 KB Output is correct
13 Correct 5 ms 340 KB Output is correct
14 Correct 6 ms 420 KB Output is correct
15 Correct 6 ms 340 KB Output is correct
16 Correct 6 ms 340 KB Output is correct

Subtask #3
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 201 ms 340 KB Output is correct
4 Correct 186 ms 340 KB Output is correct
5 Correct 202 ms 340 KB Output is correct
6 Correct 184 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 0 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 9 ms 340 KB Output is correct
13 Correct 5 ms 340 KB Output is correct
14 Correct 6 ms 420 KB Output is correct
15 Correct 6 ms 340 KB Output is correct
16 Correct 6 ms 340 KB Output is correct
17 Correct 113 ms 6552 KB Output is correct
18 Correct 99 ms 6840 KB Output is correct
19 Correct 122 ms 6904 KB Output is correct
20 Correct 109 ms 6912 KB Output is correct
21 Correct 111 ms 6900 KB Output is correct
22 Correct 121 ms 6904 KB Output is correct
23 Correct 112 ms 6904 KB Output is correct
24 Correct 101 ms 6920 KB Output is correct
25 Correct 115 ms 7124 KB Output is correct
26 Correct 108 ms 6860 KB Output is correct