답안 #431750

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
431750 2021-06-17T15:02:03 Z yuto1115 Simurgh (IOI17_simurgh) C++17
70 / 100
223 ms 5864 KB
#include "simurgh.h"
#include "bits/stdc++.h"
#define rep(i, n) for(ll i = 0; i < ll(n); i++)
#define rep2(i, s, n) for(ll i = ll(s); i < ll(n); i++)
#define rrep(i, n) for(ll i = ll(n)-1; i >= 0; i--)
#define pb push_back
#define eb emplace_back
#define all(a) a.begin(),a.end()
#define rall(a) a.rbegin(),a.rend()
using namespace std;
using ll = long long;
using P = pair<int, int>;
using vi = vector<int>;
using vvi = vector<vi>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vp = vector<P>;
using vvp = vector<vp>;
using vb = vector<bool>;
using vvb = vector<vb>;
using vs = vector<string>;
const int inf = 1001001001;
const ll linf = 1001001001001001001;

template<class T>
bool chmin(T &a, T b) {
    if (a > b) {
        a = b;
        return true;
    }
    return false;
}

template<class T>
bool chmax(T &a, T b) {
    if (a < b) {
        a = b;
        return true;
    }
    return false;
}

vi find_roads(int n, vi u, vi v) {
    if (n == 2) {
        return {0};
    }
    int m = u.size();
    vvi G(n);
    vvi id(n, vi(n));
    rep(i, m) {
        G[u[i]].pb(v[i]);
        G[v[i]].pb(u[i]);
        id[u[i]][v[i]] = i;
        id[v[i]][u[i]] = i;
    }
    if(n <= 240) {
        vi par(n, inf);
        vi dep(n);
        vb on_tree(m);
        vi ori_edge;
        auto dfs = [&](auto &dfs, int now, int p, int d) -> void {
            par[now] = p;
            dep[now] = d;
            for (int nx : G[now]) {
                if (nx == p) continue;
                if (par[nx] != inf) continue;
                on_tree[id[now][nx]] = true;
                ori_edge.pb(id[now][nx]);
                dfs(dfs, nx, now, d + 1);
            }
        };
        dfs(dfs, 0, -1, 0);
        auto lca = [&](int i, int j) {
            if (dep[i] > dep[j]) swap(i, j);
            while (dep[i] < dep[j]) j = par[j];
            while (i != j) {
                i = par[i];
                j = par[j];
            }
            return i;
        };
        const int ori = count_common_roads(ori_edge);
        auto replace = [&](int add, int er) -> int {
            vi tmp = {add};
            for (int i : ori_edge) {
                if (i != er) tmp.pb(i);
            }
            return count_common_roads(tmp) - ori;
        };
        vi ans(m, -1);
        rep(i, m) {
            if (on_tree[i]) continue;
            assert(ans[i] == -1);
            int l = lca(u[i], v[i]);
            vi es;
            int now = u[i];
            while (now != l) {
                es.pb(id[now][par[now]]);
                now = par[now];
            }
            now = v[i];
            while (now != l) {
                es.pb(id[now][par[now]]);
                now = par[now];
            }
            int alr = -1;
            vi same = {(int) i}, dif;
            int self = -1;
            for (int j : es) {
                if (ans[j] == -1) {
                    int r = replace(i, j);
                    assert(-1 <= r and r <= 1);
                    if (r == 0) same.pb(j);
                    else {
                        dif.pb(j);
                        self = (r > 0 ? 1 : 0);
                    }
                } else {
                    alr = j;
                }
            }
            if (self != -1) {
                for (int j : same) ans[j] = self;
                for (int j : dif) ans[j] = self ^ 1;
                continue;
            }
            assert(dif.empty());
            if (alr == -1) {
                for (int j : same) ans[j] = 0;
            } else {
                int r = replace(i, alr);
                assert(0 <= ans[alr] + r and ans[alr] + r <= 1);
                for (int j : same) ans[j] = ans[alr] + r;
            }
        }
        vi res;
        rep(i, m) {
            if (ans[i] == 1 or ans[i] == -1) res.pb(i);
        }
        assert(res.size() == n - 1);
        return res;
    } else {
        vi ans(m, -1);
        vi ori_edge;
        rep2(i, 1, n) ori_edge.eb(id[0][i]);
        int ori = count_common_roads(ori_edge);
        rep2(i, 1, n) {
            int j = (i == n - 1 ? i - 1 : i + 1);
            vi ex_i, ex_j;
            rep2(k, 1, n) {
                if (k != i) ex_i.pb(id[0][k]);
                if (k != j) ex_j.pb(id[0][k]);
            }
            ex_i.pb(id[i][j]);
            ex_j.pb(id[i][j]);
            int a = count_common_roads(ex_i) - ori;
            int b = count_common_roads(ex_j) - ori;
            if (a != 0) {
                ans[id[0][i]] = (a > 0 ? 0 : 1);
                continue;
            }
            if (b != 0) {
                int t = (b > 0 ? 0 : 1);
                ans[id[0][i]] = t + b - a;
                continue;
            }
            ans[id[0][i]] = 0;
        }
        rep2(i, 1, n - 1) {
            auto calc = [&](int j) {
                assert(i + 1 < j and j <= n);
                vi tmp;
                int res = 0;
                rep(k, j) if (k != i) {
                        tmp.pb(id[i][k]);
                        if (k < i) res -= ans[id[i][k]];
                    }
                rep2(k, j, n) {
                    tmp.pb(id[0][k]);
                    res -= ans[id[0][k]];
                }
                res += count_common_roads(tmp);
                return res;
            };
            rep2(j, i + 1, n) ans[id[i][j]] = 0;
            int num = calc(n);
            rep2(j, 1, num + 1) {
                int ok = n, ng = i + 1;
                while (ok - ng > 1) {
                    int mid = (ok + ng) / 2;
                    (calc(mid) >= j ? ok : ng) = mid;
                }
                ans[id[i][ng]] = 1;
            }
        }
        vi res;
        rep(i, m) {
            assert(ans[i] != -1);
            if (ans[i]) res.pb(i);
        }
        assert(res.size() == n - 1);
        return res;
    }
}

Compilation message

In file included from /usr/include/c++/10/cassert:44,
                 from /usr/include/x86_64-linux-gnu/c++/10/bits/stdc++.h:33,
                 from simurgh.cpp:2:
simurgh.cpp: In function 'vi find_roads(int, vi, vi)':
simurgh.cpp:140:27: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  140 |         assert(res.size() == n - 1);
      |                ~~~~~~~~~~~^~~~~~~~
simurgh.cpp:201:27: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  201 |         assert(res.size() == n - 1);
      |                ~~~~~~~~~~~^~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB correct
2 Correct 0 ms 204 KB correct
3 Correct 1 ms 204 KB correct
4 Correct 0 ms 204 KB correct
5 Correct 1 ms 204 KB correct
6 Correct 1 ms 204 KB correct
7 Correct 0 ms 204 KB correct
8 Correct 0 ms 204 KB correct
9 Correct 1 ms 204 KB correct
10 Correct 0 ms 204 KB correct
11 Correct 0 ms 204 KB correct
12 Correct 1 ms 204 KB correct
13 Correct 1 ms 204 KB correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB correct
2 Correct 0 ms 204 KB correct
3 Correct 1 ms 204 KB correct
4 Correct 0 ms 204 KB correct
5 Correct 1 ms 204 KB correct
6 Correct 1 ms 204 KB correct
7 Correct 0 ms 204 KB correct
8 Correct 0 ms 204 KB correct
9 Correct 1 ms 204 KB correct
10 Correct 0 ms 204 KB correct
11 Correct 0 ms 204 KB correct
12 Correct 1 ms 204 KB correct
13 Correct 1 ms 204 KB correct
14 Correct 3 ms 332 KB correct
15 Correct 3 ms 332 KB correct
16 Correct 3 ms 332 KB correct
17 Correct 3 ms 332 KB correct
18 Correct 1 ms 204 KB correct
19 Correct 3 ms 332 KB correct
20 Correct 2 ms 332 KB correct
21 Correct 2 ms 332 KB correct
22 Correct 2 ms 332 KB correct
23 Correct 2 ms 204 KB correct
24 Correct 2 ms 204 KB correct
25 Correct 1 ms 204 KB correct
26 Correct 2 ms 204 KB correct
27 Correct 2 ms 204 KB correct
28 Correct 1 ms 204 KB correct
29 Correct 1 ms 204 KB correct
30 Correct 2 ms 204 KB correct
31 Correct 2 ms 332 KB correct
32 Correct 2 ms 204 KB correct
33 Correct 2 ms 204 KB correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB correct
2 Correct 0 ms 204 KB correct
3 Correct 1 ms 204 KB correct
4 Correct 0 ms 204 KB correct
5 Correct 1 ms 204 KB correct
6 Correct 1 ms 204 KB correct
7 Correct 0 ms 204 KB correct
8 Correct 0 ms 204 KB correct
9 Correct 1 ms 204 KB correct
10 Correct 0 ms 204 KB correct
11 Correct 0 ms 204 KB correct
12 Correct 1 ms 204 KB correct
13 Correct 1 ms 204 KB correct
14 Correct 3 ms 332 KB correct
15 Correct 3 ms 332 KB correct
16 Correct 3 ms 332 KB correct
17 Correct 3 ms 332 KB correct
18 Correct 1 ms 204 KB correct
19 Correct 3 ms 332 KB correct
20 Correct 2 ms 332 KB correct
21 Correct 2 ms 332 KB correct
22 Correct 2 ms 332 KB correct
23 Correct 2 ms 204 KB correct
24 Correct 2 ms 204 KB correct
25 Correct 1 ms 204 KB correct
26 Correct 2 ms 204 KB correct
27 Correct 2 ms 204 KB correct
28 Correct 1 ms 204 KB correct
29 Correct 1 ms 204 KB correct
30 Correct 2 ms 204 KB correct
31 Correct 2 ms 332 KB correct
32 Correct 2 ms 204 KB correct
33 Correct 2 ms 204 KB correct
34 Correct 223 ms 1424 KB correct
35 Correct 192 ms 1416 KB correct
36 Correct 132 ms 1240 KB correct
37 Correct 9 ms 588 KB correct
38 Correct 210 ms 1500 KB correct
39 Correct 170 ms 1356 KB correct
40 Correct 136 ms 1220 KB correct
41 Correct 203 ms 1436 KB correct
42 Correct 194 ms 1440 KB correct
43 Correct 103 ms 1076 KB correct
44 Correct 80 ms 844 KB correct
45 Correct 96 ms 972 KB correct
46 Correct 72 ms 844 KB correct
47 Correct 32 ms 716 KB correct
48 Correct 2 ms 460 KB correct
49 Correct 9 ms 592 KB correct
50 Correct 30 ms 724 KB correct
51 Correct 98 ms 972 KB correct
52 Correct 86 ms 844 KB correct
53 Correct 71 ms 884 KB correct
54 Correct 103 ms 1048 KB correct
55 Correct 98 ms 972 KB correct
56 Correct 100 ms 976 KB correct
57 Correct 101 ms 980 KB correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB correct
2 Correct 1 ms 204 KB correct
3 Correct 83 ms 3556 KB correct
4 Correct 133 ms 5736 KB correct
5 Correct 139 ms 5848 KB correct
6 Correct 158 ms 5864 KB correct
7 Correct 128 ms 5828 KB correct
8 Correct 135 ms 5840 KB correct
9 Correct 135 ms 5828 KB correct
10 Correct 133 ms 5860 KB correct
11 Correct 135 ms 5828 KB correct
12 Correct 153 ms 5836 KB correct
13 Correct 1 ms 204 KB correct
14 Correct 134 ms 5740 KB correct
15 Correct 132 ms 5748 KB correct
# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 204 KB correct
2 Correct 0 ms 204 KB correct
3 Correct 1 ms 204 KB correct
4 Correct 0 ms 204 KB correct
5 Correct 1 ms 204 KB correct
6 Correct 1 ms 204 KB correct
7 Correct 0 ms 204 KB correct
8 Correct 0 ms 204 KB correct
9 Correct 1 ms 204 KB correct
10 Correct 0 ms 204 KB correct
11 Correct 0 ms 204 KB correct
12 Correct 1 ms 204 KB correct
13 Correct 1 ms 204 KB correct
14 Correct 3 ms 332 KB correct
15 Correct 3 ms 332 KB correct
16 Correct 3 ms 332 KB correct
17 Correct 3 ms 332 KB correct
18 Correct 1 ms 204 KB correct
19 Correct 3 ms 332 KB correct
20 Correct 2 ms 332 KB correct
21 Correct 2 ms 332 KB correct
22 Correct 2 ms 332 KB correct
23 Correct 2 ms 204 KB correct
24 Correct 2 ms 204 KB correct
25 Correct 1 ms 204 KB correct
26 Correct 2 ms 204 KB correct
27 Correct 2 ms 204 KB correct
28 Correct 1 ms 204 KB correct
29 Correct 1 ms 204 KB correct
30 Correct 2 ms 204 KB correct
31 Correct 2 ms 332 KB correct
32 Correct 2 ms 204 KB correct
33 Correct 2 ms 204 KB correct
34 Correct 223 ms 1424 KB correct
35 Correct 192 ms 1416 KB correct
36 Correct 132 ms 1240 KB correct
37 Correct 9 ms 588 KB correct
38 Correct 210 ms 1500 KB correct
39 Correct 170 ms 1356 KB correct
40 Correct 136 ms 1220 KB correct
41 Correct 203 ms 1436 KB correct
42 Correct 194 ms 1440 KB correct
43 Correct 103 ms 1076 KB correct
44 Correct 80 ms 844 KB correct
45 Correct 96 ms 972 KB correct
46 Correct 72 ms 844 KB correct
47 Correct 32 ms 716 KB correct
48 Correct 2 ms 460 KB correct
49 Correct 9 ms 592 KB correct
50 Correct 30 ms 724 KB correct
51 Correct 98 ms 972 KB correct
52 Correct 86 ms 844 KB correct
53 Correct 71 ms 884 KB correct
54 Correct 103 ms 1048 KB correct
55 Correct 98 ms 972 KB correct
56 Correct 100 ms 976 KB correct
57 Correct 101 ms 980 KB correct
58 Correct 1 ms 204 KB correct
59 Correct 1 ms 204 KB correct
60 Correct 83 ms 3556 KB correct
61 Correct 133 ms 5736 KB correct
62 Correct 139 ms 5848 KB correct
63 Correct 158 ms 5864 KB correct
64 Correct 128 ms 5828 KB correct
65 Correct 135 ms 5840 KB correct
66 Correct 135 ms 5828 KB correct
67 Correct 133 ms 5860 KB correct
68 Correct 135 ms 5828 KB correct
69 Correct 153 ms 5836 KB correct
70 Correct 1 ms 204 KB correct
71 Correct 134 ms 5740 KB correct
72 Correct 132 ms 5748 KB correct
73 Correct 1 ms 204 KB correct
74 Correct 147 ms 5836 KB correct
75 Incorrect 32 ms 5700 KB WA in grader: NO
76 Halted 0 ms 0 KB -