oj.uz

Submission #1061856

# Submission time Handle Problem Language Result Execution time Memory
1061856 2024-08-16T14:22:50 Z Zicrus Ancient Books (IOI17_books) C++17
42 / 100
 2000 ms 34980 KB 
#include <bits/stdc++.h>
#include "books.h"
using namespace std;

typedef long long ll;

vector<ll> lnk;
vector<ll> mnUF, mxUF;

ll find(ll a) {
    if (lnk[a] != a) lnk[a] = find(lnk[a]);
    return lnk[a];
}

void unite(ll a, ll b) {
    a = find(a); b = find(b);
    if (a == b) return;
    lnk[a] = b;
    mnUF[b] = min(mnUF[b], mnUF[a]);
    mxUF[b] = max(mxUF[b], mxUF[a]);
}

ll minimum_walk(vector<int> p, int s) {
    ll n = p.size();
	ll res = 0;
    for (int i = 0; i < n; i++) res += abs(p[i] - i);
    if (res == 0) return 0;

    vector<bool> vst(n);
    vector<vector<ll>> cyc;
    vector<ll> mxCyc;
    vector<ll> cycId(n, -1);
    for (int i = 0; i < n; i++) {
        if (vst[i] || p[i] == i) continue;
        cyc.push_back(vector<ll>());
        mxCyc.push_back(i);
 
        ll cur = i;
        do {
            cyc.back().push_back(cur);
            mxCyc.back() = max(mxCyc.back(), cur);
            cycId[cur] = cyc.size()-1;
            cur = p[cur];
            vst[cur] = true;
        } while (cur != i);
    }
    ll m = cyc.size();

    ll allMn = n, allMx = 0;
    for (int i = 0; i < m; i++) {
        allMn = min(allMn, cyc[i][0]);
        allMx = max(allMx, mxCyc[i]);
    }
    lnk = vector<ll>(m);
    mnUF = vector<ll>(m);
    mxUF = vector<ll>(m);
    for (int i = 0; i < m; i++) {
        lnk[i] = i;
        mnUF[i] = cyc[i][0];
        mxUF[i] = mxCyc[i];
    }
    for (int i = 0; i < m; i++) {
        for (int j = 0; j < m; j++) {
            if (cyc[i][0] < cyc[j][0] && mxCyc[i] > cyc[j][0] && mxCyc[i] < mxCyc[j]) {
                unite(i, j);
            }
        }
    }
    vector<pair<ll, ll>> lut; // -size, id
    for (int i = 0; i < m; i++) {
        mnUF[i] = mnUF[find(i)];
        mxUF[i] = mxUF[find(i)];
        if (i == lnk[i]) lut.push_back({mnUF[i] - mxUF[i], i});
    }
    sort(lut.begin(), lut.end());

    vector<ll> nxtDist(m, -1), nxtCyc(m);
    for (auto &e : lut) {
        ll i = e.second;
        ll left = mnUF[i], right = mxUF[i];
        ll dist = 0;
        while (left > allMn || right < allMx) {
            left = max(allMn, left-1);
            right = min(allMx, right+1);
            dist++;
            if (p[left] != left) {
                ll c = cycId[left];
                if (mnUF[c] < mnUF[i] && mxUF[c] > mxUF[i]) {
                    nxtDist[i] = dist;
                    nxtCyc[i] = c;
                    break;
                }
                else {
                    left = mnUF[c];
                }
            }
            if (p[right] != right) {
                ll c = cycId[right];
                if (mnUF[c] < mnUF[i] && mxUF[c] > mxUF[i]) {
                    nxtDist[i] = dist;
                    nxtCyc[i] = c;
                    break;
                }
                else {
                    right = mxUF[c];
                }
            }
        }
    }
    for (int i = 0; i < m; i++) {
        nxtDist[i] = nxtDist[find(i)];
        nxtCyc[i] = nxtCyc[find(i)];
    }

    ll val = res, val1 = res;
    ll ptr = s;
    bool done = false;
    if (p[s] != s) {
        ll c = cycId[s];
        while (nxtDist[c] != -1) {
            val += 2*nxtDist[c];
            c = nxtCyc[c];
        }
        ptr = allMn;
        done = true;
    }
    while (!done && ptr > allMn) {
        ptr--;
        val += 2;
        if (p[ptr] != ptr) {
            ll c = cycId[ptr];
            while (nxtDist[c] != -1) {
                val += 2*nxtDist[c];
                c = nxtCyc[c];
            }
            done = (s > mnUF[c] && s < mxUF[c]) || s > allMx;
            ptr = allMn;
            break;
        }
    }
    if (done) res = val;

    ptr = s;
    bool done1 = false;
    if (p[s] != s) {
        ll c = cycId[s];
        while (nxtDist[c] != -1) {
            val1 += 2*nxtDist[c];
            c = nxtCyc[c];
        }
        done1 = true;
        ptr = allMx;
    }
    while (!done1 && ptr < allMx) {
        ptr++;
        val1 += 2;
        if (p[ptr] != ptr) {
            ll c = cycId[ptr];
            while (nxtDist[c] != -1) {
                val1 += 2*nxtDist[c];
                c = nxtCyc[c];
            }
            done1 = (s > mnUF[c] && s < mxUF[c]) || s < allMn;
            ptr = allMx;
            break;
        }
    }
    if (done1) {
        if (done) res = min(res, val1);
        else res = val1;
    }

    ll lastMx = -1;
    for (int i = 0; i < m; i++) {
        if (lnk[i] != i || nxtDist[i] != -1) continue;
        if (lastMx == -1) {
            lastMx = mxUF[i];
            continue;
        }
        res += 2*max(0ll, mnUF[i] - lastMx);
        lastMx = mxUF[i];
    }

    return res;
}

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct

Subtask #3
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 91 ms 26552 KB Output is correct
31 Correct 96 ms 26616 KB Output is correct
32 Correct 79 ms 8016 KB Output is correct
33 Execution timed out 2083 ms 34980 KB Time limit exceeded
34 Halted 0 ms 0 KB -

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 1 ms 348 KB Output is correct
13 Correct 1 ms 348 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 344 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 1 ms 348 KB Output is correct
23 Correct 1 ms 348 KB Output is correct
24 Correct 1 ms 600 KB Output is correct
25 Correct 1 ms 348 KB Output is correct
26 Correct 1 ms 344 KB Output is correct
27 Correct 0 ms 348 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 91 ms 26552 KB Output is correct
31 Correct 96 ms 26616 KB Output is correct
32 Correct 79 ms 8016 KB Output is correct
33 Execution timed out 2083 ms 34980 KB Time limit exceeded
34 Halted 0 ms 0 KB -