Submission #964410

# Submission time Handle Problem Language Result Execution time Memory
964410 2024-04-16T19:32:49 Z BestCrazyNoob Seats (IOI18_seats) C++17
11 / 100
4000 ms 39508 KB
#include "seats.h"
#include <cassert>
#include <tuple>

using namespace std;

struct Node {
    int mn, mx;
    Node(): mn(1e9), mx(0) {}
    Node(int a): mn(a), mx(a) {}
    Node(Node l, Node r) {
        mn = min(l.mn, r.mn);
        mx = max(l.mx, r.mx);
    }
};

struct SegTree {
    int sz;
    vector<Node> tree;
    int ql, qr;
    SegTree() {}
    SegTree(vector<int> v) {
        sz = 1;
        while (sz < v.size()) sz *= 2;
        tree.resize(2*sz, Node());
        for (int i = 0; i < v.size(); i++) tree[sz+i] = Node(v[i]);
        for (int i = v.size(); i < sz; i++) tree[sz+i] = Node();
        for (int i = sz-1; i >= 1; i--) tree[i] = Node(tree[2*i], tree[2*i+1]);
    }
    void update(int i, int x) {
        i += sz;
        tree[i] = Node(x);
        while (i > 1) {
            i /= 2;
            tree[i] = Node(tree[2*i], tree[2*i+1]);
        }
    }
    Node __query(int ni, int nl, int nr) {
        if (qr <= nl || nr <= ql) return Node();
        if (ql <= nl && nr <= qr) return tree[ni];
        int nm = (nl+nr)/2;
        return Node(__query(2*ni, nl, nm), __query(2*ni+1, nm, nr));
    }
    pair<int, int> query(int l, int r) {
        ql = l;
        qr = r;
        auto res = __query(1, 0, sz);
        return {res.mn, res.mx};
    }
};

// sol1
vector<int> mxC, mnC, mxR, mnR;
int ans;

// sol2
vector<int> R, C;
SegTree rSeg, cSeg;

void give_initial_chart(int H, int W, vector<int> R, vector<int> C) {
    assert(H <= 10'000);
    assert(W <= 10'000);
    ::R = R;
    ::C = C;
    if (true/*C.size() > 1'000 || R.size() > 1'000*/) {
        // sol1
        mxC.resize(C.size());
        mnC.resize(C.size());
        mxR.resize(C.size());
        mnR.resize(C.size());
        mxC[0] = mnC[0] = C[0];
        mxR[0] = mnR[0] = R[0];
        for (int i = 1; i < C.size(); i++) {
            mxC[i] = max(C[i], mxC[i-1]);
            mxR[i] = max(R[i], mxR[i-1]);
            mnC[i] = min(C[i], mnC[i-1]);
            mnR[i] = min(R[i], mnR[i-1]);
        }
        for (int i = 0; i < C.size(); i++) {
            ans += (mxC[i] - mnC[i] + 1) * (mxR[i] - mnR[i] + 1) == i+1;
        }
    } else {
        // sol2
        rSeg = SegTree(R);
        cSeg = SegTree(C);
    }
}

int sol1(int a, int b) {
    // a < b WLOG
    if (a > b) swap(a, b);

    for (int i = a; i <= b; i++) {
        ans -= (mxC[i] - mnC[i] + 1) * (mxR[i] - mnR[i] + 1) == i+1;
    }

    swap(R[a], R[b]);
    swap(C[a], C[b]);
    if (a == 0) {
        mxC[0] = mnC[0] = C[0];
        mxR[0] = mnR[0] = R[0];
    }
    for (int i = max(1, a); i <= b; i++) {
        mxC[i] = max(C[i], mxC[i-1]);
        mxR[i] = max(R[i], mxR[i-1]);
        mnC[i] = min(C[i], mnC[i-1]);
        mnR[i] = min(R[i], mnR[i-1]);
    }

    for (int i = a; i <= b; i++) {
        ans += (mxC[i] - mnC[i] + 1) * (mxR[i] - mnR[i] + 1) == i+1;
    }
    return ans;
}

int sol2(int a, int b) {
    // update
    swap(R[a], R[b]);
    swap(C[a], C[b]);
    rSeg.update(a, R[a]);
    rSeg.update(b, R[b]);
    cSeg.update(a, C[a]);
    cSeg.update(b, C[b]);
    // query
    int i = 1, ans = 1;
    int mnR = R[0], mnC = C[0], mxR = R[0], mxC = C[0];
    while (i < C.size()) {
        tie(mnR, mxR) = rSeg.query(0, i);
        tie(mnC, mxC) = cSeg.query(0, i);
        if ((mxR - mnR + 1) * (mxC - mnC + 1) == i) {
            ans++;
            i += min(mxR - mnR + 1, mxC - mnC + 1);
        } else {
            i = (mxR - mnR + 1) * (mxC - mnC + 1);
        }
    }
    return ans;
}

int swap_seats(int a, int b) {
    if (true/*C.size() > 1'000 || R.size() > 1'000*/) return sol1(a, b);
    return sol2(a, b);
}

Compilation message

seats.cpp: In constructor 'SegTree::SegTree(std::vector<int>)':
seats.cpp:24:19: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   24 |         while (sz < v.size()) sz *= 2;
      |                ~~~^~~~~~~~~~
seats.cpp:26:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   26 |         for (int i = 0; i < v.size(); i++) tree[sz+i] = Node(v[i]);
      |                         ~~^~~~~~~~~~
seats.cpp: In function 'void give_initial_chart(int, int, std::vector<int>, std::vector<int>)':
seats.cpp:73:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   73 |         for (int i = 1; i < C.size(); i++) {
      |                         ~~^~~~~~~~~~
seats.cpp:79:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   79 |         for (int i = 0; i < C.size(); i++) {
      |                         ~~^~~~~~~~~~
seats.cpp: In function 'int sol2(int, int)':
seats.cpp:127:14: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  127 |     while (i < C.size()) {
      |            ~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 2 ms 352 KB Output is correct
2 Correct 2 ms 348 KB Output is correct
3 Correct 2 ms 348 KB Output is correct
4 Correct 2 ms 348 KB Output is correct
5 Correct 2 ms 348 KB Output is correct
6 Correct 2 ms 348 KB Output is correct
7 Correct 3 ms 348 KB Output is correct
8 Correct 4 ms 420 KB Output is correct
9 Correct 2 ms 348 KB Output is correct
10 Correct 2 ms 348 KB Output is correct
11 Correct 2 ms 348 KB Output is correct
12 Correct 2 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 352 KB Output is correct
2 Correct 2 ms 348 KB Output is correct
3 Correct 2 ms 348 KB Output is correct
4 Correct 2 ms 348 KB Output is correct
5 Correct 2 ms 348 KB Output is correct
6 Correct 2 ms 348 KB Output is correct
7 Correct 3 ms 348 KB Output is correct
8 Correct 4 ms 420 KB Output is correct
9 Correct 2 ms 348 KB Output is correct
10 Correct 2 ms 348 KB Output is correct
11 Correct 2 ms 348 KB Output is correct
12 Correct 2 ms 348 KB Output is correct
13 Correct 104 ms 828 KB Output is correct
14 Correct 100 ms 736 KB Output is correct
15 Correct 104 ms 824 KB Output is correct
16 Correct 98 ms 736 KB Output is correct
17 Correct 100 ms 856 KB Output is correct
18 Correct 99 ms 1200 KB Output is correct
19 Correct 103 ms 1004 KB Output is correct
20 Correct 109 ms 1024 KB Output is correct
21 Correct 102 ms 1012 KB Output is correct
22 Correct 102 ms 1004 KB Output is correct
# Verdict Execution time Memory Grader output
1 Execution timed out 4018 ms 39476 KB Time limit exceeded
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 144 ms 852 KB Output is correct
2 Correct 223 ms 3928 KB Output is correct
3 Correct 369 ms 39508 KB Output is correct
4 Correct 404 ms 39492 KB Output is correct
5 Runtime error 169 ms 32304 KB Execution killed with signal 6
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 11 ms 1492 KB Output is correct
2 Correct 12 ms 1240 KB Output is correct
3 Correct 22 ms 1228 KB Output is correct
4 Correct 112 ms 1408 KB Output is correct
5 Correct 989 ms 1716 KB Output is correct
6 Runtime error 175 ms 32852 KB Execution killed with signal 6
7 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 2 ms 352 KB Output is correct
2 Correct 2 ms 348 KB Output is correct
3 Correct 2 ms 348 KB Output is correct
4 Correct 2 ms 348 KB Output is correct
5 Correct 2 ms 348 KB Output is correct
6 Correct 2 ms 348 KB Output is correct
7 Correct 3 ms 348 KB Output is correct
8 Correct 4 ms 420 KB Output is correct
9 Correct 2 ms 348 KB Output is correct
10 Correct 2 ms 348 KB Output is correct
11 Correct 2 ms 348 KB Output is correct
12 Correct 2 ms 348 KB Output is correct
13 Correct 104 ms 828 KB Output is correct
14 Correct 100 ms 736 KB Output is correct
15 Correct 104 ms 824 KB Output is correct
16 Correct 98 ms 736 KB Output is correct
17 Correct 100 ms 856 KB Output is correct
18 Correct 99 ms 1200 KB Output is correct
19 Correct 103 ms 1004 KB Output is correct
20 Correct 109 ms 1024 KB Output is correct
21 Correct 102 ms 1012 KB Output is correct
22 Correct 102 ms 1004 KB Output is correct
23 Execution timed out 4018 ms 39476 KB Time limit exceeded
24 Halted 0 ms 0 KB -