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Submission #823791

# Submission time Handle Problem Language Result Execution time Memory
823791 2023-08-13T06:39:36 Z PoonYaPat Boarding Passes (BOI22_passes) C++14
5 / 100
 2 ms 1684 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;

ll ans,dp[1<<15]; //2 times expected value
int m,n,g[100005];
vector<int> group[15];

ll cal(ll a) {
    return a*(a-1)/2;
}

int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    string s; cin>>s;
    n=s.size();
    for (int i=0; i<(1<<15); ++i) dp[i]=2e15;
    
    map<char,int> mp;
    for (int i=0; i<n; ++i) mp[s[i]]=0;
    for (auto k : mp) mp[k.first]=m++;
    for (int i=0; i<n; ++i) group[mp[s[i]]].push_back(i), g[i]=mp[s[i]];

    dp[0]=0;
    for (int mask=1; mask<(1<<m); ++mask) {
        //find dp[mask]
        bool have[15];
        for (int i=0; i<m; ++i) {
            if (mask&(1<<i)) have[i]=true;
            else have[i]=false;
        }

        for (int i=0; i<m; ++i) {
            if (mask&(1<<i)) { //consider case i is the last boarding group to put in

                ll cnt_back=0,sum_back=0,cnt_front=0,sum_front=0,cb=0,cf=0;
                for (int x=n-1; x>=0; --x) {
                    if (have[g[x]]) {
                        if (g[x]!=i) ++cnt_back;
                        else sum_back+=cnt_back, ++cb;
                    }
                }

                for (int x=0; x<n; ++x) { //people 0 to x get in from front, x+1 to n-1 get in from back
                    if (have[g[x]]) {
                        if (g[x]!=i) {
                            ++cnt_front;
                            --cnt_back;
                        } else {
                            ++cf;
                            --cb;
                            sum_front+=cnt_front;
                            sum_back-=cnt_back;
                            dp[mask]=min(dp[mask],dp[mask^(1<<i)]+cal(cf)+cal(cb)+2*sum_back+2*sum_front);
                        }
                    }
                }
            }
        }
    }

    cout<<dp[(1<<m)-1]/2;
    if (dp[(1<<m)-1]%2==1) cout<<".5";
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 468 KB found '100800.5000000000', expected '100800.5000000000', error '0.0000000000'
2 Correct 0 ms 468 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
3 Correct 0 ms 468 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
4 Correct 0 ms 468 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
5 Correct 0 ms 468 KB found '124002.0000000000', expected '124002.0000000000', error '0.0000000000'
6 Correct 2 ms 1684 KB found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000'
7 Correct 2 ms 1684 KB found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000'
8 Correct 2 ms 1632 KB found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000'
9 Correct 2 ms 1684 KB found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000'

Subtask #2
0 / 25.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
2 Correct 1 ms 468 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
3 Correct 1 ms 468 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
4 Correct 0 ms 468 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
5 Correct 0 ms 468 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
6 Correct 0 ms 468 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
7 Correct 1 ms 468 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
8 Incorrect 0 ms 468 KB 1st numbers differ - expected: '55.5000000000', found: '59.0000000000', error = '0.0630630631'
9 Halted 0 ms 0 KB -

Subtask #3
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 468 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
2 Correct 1 ms 468 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
3 Correct 1 ms 468 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
4 Correct 0 ms 468 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
5 Correct 0 ms 468 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
6 Correct 0 ms 468 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
7 Correct 1 ms 468 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
8 Incorrect 0 ms 468 KB 1st numbers differ - expected: '55.5000000000', found: '59.0000000000', error = '0.0630630631'
9 Halted 0 ms 0 KB -

Subtask #4
0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 468 KB found '100800.5000000000', expected '100800.5000000000', error '0.0000000000'
2 Correct 0 ms 468 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
3 Correct 0 ms 468 KB found '0.0000000000', expected '0.0000000000', error '-0.0000000000'
4 Correct 0 ms 468 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
5 Correct 0 ms 468 KB found '124002.0000000000', expected '124002.0000000000', error '0.0000000000'
6 Correct 2 ms 1684 KB found '772893586.0000000000', expected '772893586.0000000000', error '0.0000000000'
7 Correct 2 ms 1684 KB found '1100977812.5000000000', expected '1100977812.5000000000', error '0.0000000000'
8 Correct 2 ms 1632 KB found '1249950000.5000000000', expected '1249950000.5000000000', error '0.0000000000'
9 Correct 2 ms 1684 KB found '1249975000.0000000000', expected '1249975000.0000000000', error '0.0000000000'
10 Correct 1 ms 468 KB found '1.0000000000', expected '1.0000000000', error '0.0000000000'
11 Correct 1 ms 468 KB found '1225.0000000000', expected '1225.0000000000', error '0.0000000000'
12 Correct 1 ms 468 KB found '1023.0000000000', expected '1023.0000000000', error '0.0000000000'
13 Correct 0 ms 468 KB found '294.0000000000', expected '294.0000000000', error '0.0000000000'
14 Correct 0 ms 468 KB found '1087.0000000000', expected '1087.0000000000', error '0.0000000000'
15 Correct 0 ms 468 KB found '1.5000000000', expected '1.5000000000', error '0.0000000000'
16 Correct 1 ms 468 KB found '703.0000000000', expected '703.0000000000', error '0.0000000000'
17 Incorrect 0 ms 468 KB 1st numbers differ - expected: '55.5000000000', found: '59.0000000000', error = '0.0630630631'
18 Halted 0 ms 0 KB -