Submission #1030378

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1030378	2024-07-22T04:07:33 Z	shiomusubi496	Ancient Books (IOI17_books)	C++17	42 / 100	583 ms	1048576 KB

books

#include "books.h"

#include <bits/stdc++.h>

#define rep(i, n) for (int i = 0; i < (int)(n); ++i)
#define rep2(i, a, b) for (int i = (int)(a); i < (int)(b); ++i)
#define rrep(i, n) for (int i = (int)(n) - 1; i >= 0; --i)
#define rrep2(i, a, b) for (int i = (int)(b) - 1; i >= (int)(a); --i)

#define all(v) begin(v), end(v)
#define rall(v) rbegin(v), rend(v)

using namespace std;

using ll = long long;

constexpr ll inf = 1e18;

template<class T, class U> bool chmin(T& a, const U& b) { return a > b ? a = b, true : false; }
template<class T, class U> bool chmax(T& a, const U& b) { return a < b ? a = b, true : false; }

template<class M>
class SparseTable {
    using T = typename M::T;
    int n;
    vector<vector<T>> dat;

public:
    SparseTable(vector<T> a) {
        n = a.size();
        int h = __lg(n + 1) + 1;
        dat.assign(h + 1, vector<T>(n, M::id()));
        rep (i, n) dat[0][i] = a[i];
        rep (i, h) rep (j, n - (1 << i)) {
            dat[i + 1][j] = M::op(dat[i][j], dat[i][j + (1 << i)]);
        }
    }
    T prod(int l, int r) {
        assert(0 <= l && l <= r && r <= n);
        int b = __lg(r - l);
        return M::op(dat[b][l], dat[b][r - (1 << b)]);
    }
};

struct Min {
    using T = ll;
    static T op(T a, T b) { return min(a, b); }
    static T id() { return inf; }
};
struct Max {
    using T = ll;
    static T op(T a, T b) { return max(a, b); }
    static T id() { return -inf; }
};

long long minimum_walk(std::vector<int> p, int s) {
    int n = p.size();
    if (is_sorted(all(p))) return 0;
    ll ans = 0;
    {
        while (p.back() == n - 1) {
            if (s == n - 1) {
                --s;
                ans += 2;
            }
            p.pop_back();
            --n;
        }
        reverse(all(p));
        rep (i, n) p[i] = n - 1 - p[i];
        s = n - 1 - s;
        while (p.back() == n - 1) {
            if (s == n - 1) {
                --s;
                ans += 2;
            }
            p.pop_back();
            --n;
        }
        reverse(all(p));
        rep (i, n) p[i] = n - 1 - p[i];
        s = n - 1 - s;
    }
    rep (i, n) ans += abs(p[i] - i);
    vector<ll> mns(n), mxs(n);
    {
        vector<bool> seen(n);
        rep (i, n) {
            if (seen[i]) continue;
            int j = i;
            int mx = 0;
            do {
                seen[j] = true;
                chmax(mx, j);
                j = p[j];
            } while (i != j);
            j = i;
            do {
                mns[j] = i;
                mxs[j] = mx;
                j = p[j];
            } while (i != j);
        }
    }
    SparseTable<Min> st1(mns);
    SparseTable<Max> st2(mxs);

    vector<vector<ll>> dp(n + 1, vector<ll>(n + 1, inf));
    dp[s][s] = 0;
    rep (len, n) {
        rep (l, n + 1 - len) {
            int r = l + len;
            if (dp[l][r] == inf) continue;
            {
                int l2 = st1.prod(l, r + 1);
                int r2 = st2.prod(l, r + 1);
                chmin(dp[l2][r2], dp[l][r]);
            }
            if (l != 0) chmin(dp[mns[l - 1]][max<int>(r, mxs[l - 1])], dp[l][r] + 1);
            if (r != n - 1) chmin(dp[min<int>(l, mns[r + 1])][mxs[r + 1]], dp[l][r] + 1);
        }
    }
    return ans + dp[0][n - 1] * 2;
}

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	344 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	440 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	0 ms	344 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	344 KB	Output is correct
12	Correct	1 ms	348 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	344 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	344 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	440 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	0 ms	344 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	344 KB	Output is correct
12	Correct	1 ms	348 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	344 KB	Output is correct
17	Correct	0 ms	348 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct
19	Correct	5 ms	8284 KB	Output is correct
20	Correct	4 ms	8408 KB	Output is correct
21	Correct	0 ms	348 KB	Output is correct
22	Correct	4 ms	8284 KB	Output is correct
23	Correct	4 ms	8280 KB	Output is correct
24	Correct	4 ms	8444 KB	Output is correct
25	Correct	5 ms	8284 KB	Output is correct
26	Correct	5 ms	8284 KB	Output is correct
27	Correct	4 ms	8284 KB	Output is correct
28	Correct	6 ms	8284 KB	Output is correct
29	Correct	4 ms	8284 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	344 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	440 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	0 ms	344 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	344 KB	Output is correct
12	Correct	1 ms	348 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	344 KB	Output is correct
17	Correct	0 ms	348 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct
19	Correct	5 ms	8284 KB	Output is correct
20	Correct	4 ms	8408 KB	Output is correct
21	Correct	0 ms	348 KB	Output is correct
22	Correct	4 ms	8284 KB	Output is correct
23	Correct	4 ms	8280 KB	Output is correct
24	Correct	4 ms	8444 KB	Output is correct
25	Correct	5 ms	8284 KB	Output is correct
26	Correct	5 ms	8284 KB	Output is correct
27	Correct	4 ms	8284 KB	Output is correct
28	Correct	6 ms	8284 KB	Output is correct
29	Correct	4 ms	8284 KB	Output is correct
30	Runtime error	583 ms	1048576 KB	Execution killed with signal 9
31	Halted	0 ms	0 KB	-

Subtask #4

20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	7 ms	8280 KB	Output is correct
2	Correct	4 ms	8516 KB	Output is correct
3	Correct	8 ms	8280 KB	Output is correct
4	Correct	8 ms	8280 KB	Output is correct
5	Correct	7 ms	8284 KB	Output is correct
6	Correct	4 ms	8284 KB	Output is correct
7	Correct	4 ms	8284 KB	Output is correct
8	Correct	4 ms	8284 KB	Output is correct
9	Correct	6 ms	8284 KB	Output is correct
10	Correct	0 ms	348 KB	Output is correct
11	Correct	4 ms	8284 KB	Output is correct
12	Correct	4 ms	8396 KB	Output is correct
13	Correct	5 ms	8284 KB	Output is correct
14	Correct	6 ms	8284 KB	Output is correct
15	Correct	4 ms	8284 KB	Output is correct
16	Correct	4 ms	8284 KB	Output is correct
17	Correct	4 ms	8284 KB	Output is correct
18	Correct	4 ms	8284 KB	Output is correct
19	Correct	4 ms	8520 KB	Output is correct
20	Correct	5 ms	8284 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	344 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	440 KB	Output is correct
7	Correct	0 ms	348 KB	Output is correct
8	Correct	0 ms	344 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	344 KB	Output is correct
12	Correct	1 ms	348 KB	Output is correct
13	Correct	0 ms	348 KB	Output is correct
14	Correct	1 ms	348 KB	Output is correct
15	Correct	0 ms	348 KB	Output is correct
16	Correct	0 ms	344 KB	Output is correct
17	Correct	0 ms	348 KB	Output is correct
18	Correct	0 ms	348 KB	Output is correct
19	Correct	5 ms	8284 KB	Output is correct
20	Correct	4 ms	8408 KB	Output is correct
21	Correct	0 ms	348 KB	Output is correct
22	Correct	4 ms	8284 KB	Output is correct
23	Correct	4 ms	8280 KB	Output is correct
24	Correct	4 ms	8444 KB	Output is correct
25	Correct	5 ms	8284 KB	Output is correct
26	Correct	5 ms	8284 KB	Output is correct
27	Correct	4 ms	8284 KB	Output is correct
28	Correct	6 ms	8284 KB	Output is correct
29	Correct	4 ms	8284 KB	Output is correct
30	Runtime error	583 ms	1048576 KB	Execution killed with signal 9
31	Halted	0 ms	0 KB	-