Submission #428831

#	Time	Username	Problem	Language	Result	Execution time	Memory
428831		lyc	Cheerleaders (info1cup20_cheerleaders)	C++14	72 / 100	1798 ms	2332 KiB

cheerleaders

#include <bits/stdc++.h>
using namespace std;

#define TRACE(x) cerr << #x << " :: " << x << endl
#define _ << " " <<
#define SZ(x) ((int)(x).size())
#define ALL(x) (x).begin(),(x).end()
#define FOR(i,a,b) for(int i=(a);i<=(b);++i)
#define RFOR(i,a,b) for(int i=(a);i>=(b);--i)

int N, org[1<<17], A[1<<17], tmp[2][1<<16];

int ft[1<<17], n, nn;

void update(int i, int x) {
    for (; i <= n; i += i&-i) ft[i] += x;
}

int query(int i) {
    int r = 0;
    for (; i; i -= i&-i) r += ft[i];
    return r;
}

int inv() {
    int cnt = 0;
    memset(ft,0,sizeof ft);
    FOR(i,0,(1<<N)-1){
        cnt += i-query(A[i]);
        update(A[i]+1,1);
    }
    return cnt;
}

void sim(int op) {
    if (op == 1) {
        FOR(i,0,(1<<(N-1))-1){
            swap(A[i],A[i+(1<<(N-1))]);
        }
    } else {
        int c[] = {0,0};
        FOR(i,0,(1<<N)-1) tmp[i&1][c[i&1]++] = A[i];
        FOR(i,0,(1<<(N-1))-1) A[i] = tmp[0][i];
        FOR(i,0,(1<<(N-1))-1) A[i+(1<<(N-1))] = tmp[1][i];
    }
}

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

    cin >> N;
    FOR(i,0,(1<<N)-1){
        cin >> org[i];
    }
    n = (1<<N);
    nn = n>>1;

    int mininv = 1e9;
    vector<int> ans;
    FOR(s,0,n-1){
        FOR(i,0,n-1) A[i] = org[i];

        vector<int> ops;
        while (true) {
            int pos0 = -1;
            FOR(i,0,n-1) if (A[i] == s) pos0 = i;
            if (pos0 == 0) break;

            int op;
            if (pos0 < nn) op = 2;
            else op = 1;
            ops.push_back(op);

            sim(op);
        }

        int cur = inv(), mini = 0;
        FOR(i,1,N-1){
            sim(2);
            int nw = inv();
            if (nw < cur) {
                cur = nw;
                mini = i;
            }
        }

        if (cur < mininv) {
            mininv = cur;
            FOR(i,1,mini) ops.push_back(2);
            ans = ops;
            //TRACE(cur _ SZ(ops));
        }

        if (N > 11) break;
    }

    cout << mininv << '\n';
    for (int& x : ans) {
        cout << x;
    }
}

• Subtask 1: 16 / 16
• Subtask 2: 10 / 10
• Subtask 3: 25 / 25
• Subtask 4: 21 / 21
• Subtask 5: 0 / 28