oj.uz

Submission #1030398

# Submission time Handle Problem Language Result Execution time Memory
1030398 2024-07-22T04:39:40 Z shiomusubi496 Ancient Books (IOI17_books) C++17
50 / 100
 653 ms 372360 KB 
#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) const {
        assert(0 <= l && l <= r && r <= n);
        int b = __lg(r - l);
        return M::op(dat[b][l], dat[b][r - (1 << b)]);
    }
    template<class F> int max_right(int l, F f) const {
        assert(0 <= l && l <= n);
        assert(f(M::id()));
        if (l == n) return n;
        int ok = l, ng = n + 1;
        while (ng - ok > 1) {
            int m = (ok + ng) / 2;
            (f(prod(l, m)) ? ok : ng) = m;
        }
        return ok;
    }
    template<class F> int min_left(int r, F f) const {
        assert(0 <= r && r <= n);
        assert(f(M::id()));
        if (r == 0) return 0;
        int ok = r, ng = -1;
        while (ok - ng > 1) {
            int m = (ok + ng) / 2;
            (f(prod(m, r)) ? ok : ng) = m;
        }
        return ok;
    }
};
template<class M>
class SegmentTree {
    using T = typename M::T;
    int n;
    vector<T> dat;

public:
    SegmentTree(vector<T> a) {
        n = 1;
        while (n < a.size()) n <<= 1;
        dat.assign(n << 1, M::id());
        rep (i, a.size()) dat[i + n] = a[i];
        for (int i = n - 1; i >= 1; --i) {
            dat[i] = M::op(dat[i << 1], dat[i << 1 | 1]);
        }
    }
    T prod(int l, int r) const {
        assert(0 <= l && l <= r && r <= n);
        T res1 = M::id(), res2 = M::id();
        for (l += n, r += n; l < r; l >>= 1, r >>= 1) {
            if (l & 1) res1 = M::op(res1, dat[l++]);
            if (r & 1) res2 = M::op(dat[--r], res2);
        }
        return M::op(res1, res2);
    }
    void set(int k, T x) {
        k += n;
        dat[k] = x;
        while (k > 1) {
            k /= 2;
            dat[k] = M::op(dat[k << 1], dat[k << 1 | 1]);
        }
    }
};

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);
        }
    }
    {
        vector<bool> seen(n, false);
        SegmentTree<Min> seg1(mns);
        SegmentTree<Max> seg2(mxs);
        rep (i, n) {
            if (seen[i]) continue;
            int l = mns[i], r = mxs[i];
            while (1) {
                int l2 = seg1.prod(l, r + 1);
                int r2 = seg2.prod(l, r + 1);
                if (l == l2 && r == r2) break;
                l = l2; r = r2;
            }
            int j = i;
            do {
                seen[j] = true;
                mns[j] = l;
                mxs[j] = r;
                seg1.set(j, l);
                seg2.set(j, r);
                j = p[j];
            } while (i != j);
        }
    }
    SparseTable<Min> st1(mns);
    SparseTable<Max> st2(mxs);

    // rep (i, n) cout << mns[i] << " \n"[i == n - 1];
    // rep (i, n) cout << mxs[i] << " \n"[i == n - 1];

    // cout << ans << endl;

    int l = mns[s], r = mxs[s];
    while (l != 0 || r != n - 1) {
        int l2 = st2.min_left(l, [&](ll x) { return x <= r; });
        int r2 = st1.max_right(r + 1, [&](ll x) { return x >= l; }) - 1;
        if (l2 == 0 && l != 0) {
            ans += 2;
            l = mns[l - 1];
        }
        else if (r2 == n - 1 && r != n - 1) {
            ans += 2;
            r = mxs[r + 1];
        }
        else {
            int cnt1 = 0, cnt2 = 0;
            while (l > l2) {
                ++cnt1;
                l = mns[l - 1];
            }
            while (r < r2) {
                ++cnt2;
                r = mxs[r + 1];
            }
            ans += min(cnt1, cnt2) * 2;
            l = mns[max<int>(l2 - 1, 0)];
            r = mxs[min<int>(r2 + 1, n - 1)];
        }
    }
    return ans;
}

Compilation message

books.cpp: In instantiation of 'SegmentTree<M>::SegmentTree(std::vector<typename M::T>) [with M = Min; typename M::T = long long int]':
books.cpp:163:34:   required from here
books.cpp:75:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   75 |         while (n < a.size()) n <<= 1;
      |                ~~^~~~~~~~~~
books.cpp: In instantiation of 'SegmentTree<M>::SegmentTree(std::vector<typename M::T>) [with M = Max; typename M::T = long long int]':
books.cpp:164:34:   required from here
books.cpp:75:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]

Subtask #1
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 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 1 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 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 344 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 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 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 1 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 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 344 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 1 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 0 ms 352 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 608 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 0 ms 604 KB Output is correct
27 Correct 0 ms 604 KB Output is correct
28 Correct 1 ms 608 KB Output is correct
29 Correct 1 ms 604 KB Output is correct

Subtask #3
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 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 1 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 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 344 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 1 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 0 ms 352 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 608 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 0 ms 604 KB Output is correct
27 Correct 0 ms 604 KB Output is correct
28 Correct 1 ms 608 KB Output is correct
29 Correct 1 ms 604 KB Output is correct
30 Correct 639 ms 371988 KB Output is correct
31 Correct 653 ms 372232 KB Output is correct
32 Correct 69 ms 12000 KB Output is correct
33 Correct 479 ms 372080 KB Output is correct
34 Correct 487 ms 372164 KB Output is correct
35 Correct 449 ms 372360 KB Output is correct
36 Correct 409 ms 372080 KB Output is correct
37 Correct 378 ms 372084 KB Output is correct
38 Correct 392 ms 371976 KB Output is correct
39 Correct 378 ms 371992 KB Output is correct
40 Correct 393 ms 372112 KB Output is correct
41 Correct 484 ms 372132 KB Output is correct
42 Correct 441 ms 372080 KB Output is correct
43 Correct 379 ms 371952 KB Output is correct

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Incorrect 0 ms 604 KB 3rd lines differ - on the 1st token, expected: '3304', found: '3302'
2 Halted 0 ms 0 KB -

Subtask #5
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 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 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 1 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 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 344 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 1 ms 604 KB Output is correct
20 Correct 1 ms 604 KB Output is correct
21 Correct 0 ms 352 KB Output is correct
22 Correct 1 ms 604 KB Output is correct
23 Correct 1 ms 608 KB Output is correct
24 Correct 1 ms 604 KB Output is correct
25 Correct 1 ms 604 KB Output is correct
26 Correct 0 ms 604 KB Output is correct
27 Correct 0 ms 604 KB Output is correct
28 Correct 1 ms 608 KB Output is correct
29 Correct 1 ms 604 KB Output is correct
30 Correct 639 ms 371988 KB Output is correct
31 Correct 653 ms 372232 KB Output is correct
32 Correct 69 ms 12000 KB Output is correct
33 Correct 479 ms 372080 KB Output is correct
34 Correct 487 ms 372164 KB Output is correct
35 Correct 449 ms 372360 KB Output is correct
36 Correct 409 ms 372080 KB Output is correct
37 Correct 378 ms 372084 KB Output is correct
38 Correct 392 ms 371976 KB Output is correct
39 Correct 378 ms 371992 KB Output is correct
40 Correct 393 ms 372112 KB Output is correct
41 Correct 484 ms 372132 KB Output is correct
42 Correct 441 ms 372080 KB Output is correct
43 Correct 379 ms 371952 KB Output is correct
44 Incorrect 0 ms 604 KB 3rd lines differ - on the 1st token, expected: '3304', found: '3302'
45 Halted 0 ms 0 KB -