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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#175524#7182. Very Sparse TableSorahISAAC ✓1353ms52540kbC++205.5kb2023-09-10 19:06:572023-09-10 19:06:58

Judging History

你现在查看的是最新测评结果

  • [2023-09-10 19:06:58]
  • 评测
  • 测评结果:AC
  • 用时:1353ms
  • 内存:52540kb
  • [2023-09-10 19:06:57]
  • 提交

answer

#ifndef Yamada
#define Yamada
#include Yamada __FILE__ Yamada

using p3i = tuple<int, int, int>;

const int maxn = (1 << 16) + 5;
// int max_depth = 0;

vector<int> sq(maxn);

void recur(auto &edges, int L, int R, bool output = false, int dep = 1) {
    // if (chmax(max_depth, dep)) debug(dep);
    
    int B = sq[R-L];
    vector<int> big;
    for (int i = L; i < R; i += B) big.eb(i);
    big.eb(R);
    
    if (output) {
        // if (chmax(max_depth, dep)) debug(dep, L, R, 2*(R-L-2));
        for (int i = L+2; i <= R-1; ++i) edges.eb(L, i-1, i);
        for (int i = R-2; i >= L+1; --i) edges.eb(i, i+1, R);
    }
    
    if (R - L <= 2) return;
    
    for (int i = 0; i+1 < SZ(big); ++i) recur(edges, big[i], big[i+1], true, dep+1);
    
    // for (int id = 0; id+1 < SZ(big); ++id) {
    //     int i = big[id], b = big[id+1] - big[id];
    //     /// link i to i+1, ..., i+B-1 ///
    //     /// link i+1, ..., i+B-1 to i+B ///
    //     /// link i to i+B ///
    //     for (int j = 2; j <= b-1; ++j) edges.eb(i, i+j-1, i+j);
    //     for (int j = b-2; j >= 1; --j) edges.eb(i+j, i+j+1, i+b);
    //     if (b != 1) edges.eb(i, i+1, i+b);
    // }
    
    for (int i = 0; i+1 < SZ(big); ++i) edges.eb(big[i], big[i]+1, big[i+1]);
    for (int len = 2; len < SZ(big); ++len) {
        for (int i = 0, j = i+len; j < SZ(big); ++i, ++j) edges.eb(big[i], big[i+1], big[j]);
    }
}

pii query(int L, int R, int u, int v) {
    int B = sq[R-L];
    int u_blk = (u - L) / B * B + L, v_blk = (v - L) / B * B + L;
    
    if (u_blk == v_blk) return query(u_blk, min(u_blk + B, R), u, v);
    return {min(u_blk + B, R), v_blk};
}

void solve() {
    int N; cin >> N;
    
    vector<p3i> _edges;
    recur(_edges, 0, N);
    
    set<pii> edge_set;
    vector<p3i> edges;
    for (int i = 0; i+1 <= N; ++i) edge_set.ee(i, i+1);
    for (auto [a, b, c] : _edges) {
        if (edge_set.contains(pii{a, c})) continue;
        edge_set.ee(a, c);
        edges.eb(a, b, c);
        if (a == b or b == c or a == c) {
            // debug(a, b, c);
            assert(false);
        }
        if (!edge_set.contains(pii{a, b}) or !edge_set.contains(pii{b, c})) {
            // debug("add", a, c, "no", a, b, "or", b, c);
            assert(false);
        }
    }
    
    // assert(SZ(edges) <= 6 * N); /// not here
    
    cout << SZ(edges) << "\n";
    for (auto [a, b, c] : edges) cout << a << " " << b << " " << c << "\n";
    cout << flush;
    
    /// start query ///
    
    int Q; cin >> Q;
    
    for (int q = 1; q <= Q; ++q) {
        int l, r; cin >> l >> r;
        // l = rng() % (N+1), r = (l + rng() % N) % (N+1);
        // if (l > r) swap(l, r);
        
        if (r - l <= 3) {
            for (int i = l; i <= r; ++i) cout << i << " \n"[i == r];
            cout << flush;
            continue;
        }
        
        pii res = query(0, N, l, r);
        vector<int> ans{l, res.first, res.second, r};
        ans.erase(unique(ALL(ans)), end(ans));
        
        for (int i = 0; i < SZ(ans); ++i) cout << ans[i] << " \n"[i == SZ(ans)-1];
        cout << flush;
        
        for (int i = 0; i+1 < SZ(ans); ++i) {
            if (!edge_set.contains(pii{ans[i], ans[i+1]})) {
                // debug(ans);
                assert(false);
            }
        }
    }
    
}

void init() {
    for (int i = 0; i < maxn; ++i) {
        // sq[i] = int(sqrt(i));
             if (i <= (1 <<  1)) sq[i] = (1 << 0);
        else if (i <= (1 <<  2)) sq[i] = (1 << 1);
        else if (i <= (1 <<  4)) sq[i] = (1 << 2);
        else if (i <= (1 <<  8)) sq[i] = (1 << 4);
        else if (i <= (1 << 16)) sq[i] = (1 << 8);
    }
}

int32_t main() {
    fastIO();
    init();
    
    int t = 1; // cin >> t;
    for (int _ = 1; _ <= t; ++_) {
        solve();
    }
    
    return 0;
}

#else

#ifdef local
#define _GLIBCXX_DEBUG 1
#endif
#pragma GCC optimize("Ofast", "unroll-loops")
#include <bits/stdc++.h>
using namespace std;

#define int int64_t
// #define double __float80
using pii = pair<int, int>;
template <typename T> using Prior = std::priority_queue<T>;
template <typename T> using prior = std::priority_queue<T, vector<T>, greater<T>>;

// #define X first
// #define Y second
#define eb emplace_back
#define ef emplace_front
#define ee emplace
#define pb pop_back
#define pf pop_front
#define ALL(x) begin(x), end(x)
#define RALL(x) rbegin(x), rend(x)
#define SZ(x) ((int)(x).size())

#ifdef local
#define fastIO() void()
#define debug(...) \
    fprintf(stderr, "%sAt [%s], line %d: (%s) = ", "\u001b[33m", __FILE__, __LINE__, #__VA_ARGS__), \
    _do(__VA_ARGS__), fprintf(stderr, "%s", "\u001b[0m")
template <typename T> void _do(T &&_t) {cerr << _t << "\n";}
template <typename T, typename ...U> void _do(T &&_t, U &&..._u) {cerr << _t << ", ", _do(_u...);}
#else
#define fastIO() ios_base::sync_with_stdio(0), cin.tie(0)
#define debug(...) void()
#endif

mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());

template <typename T, typename U> bool chmin(T &lhs, U rhs) {return lhs > rhs ? lhs = rhs, 1 : 0;}
template <typename T, typename U> bool chmax(T &lhs, U rhs) {return lhs < rhs ? lhs = rhs, 1 : 0;}

template <typename T>
ostream & operator << (ostream &os, const vector<T> &vec) {
    os << "[";
    for (int i = 0; i < SZ(vec); ++i) {
        if (i) os << ", ";
        os << vec[i];
    }
    os << "]";
    return os;
}

#endif

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 3ms
memory: 3524kb

input:

9
45
0 1
0 2
0 3
0 4
0 5
0 6
0 7
0 8
0 9
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
2 3
2 4
2 5
2 6
2 7
2 8
2 9
3 4
3 5
3 6
3 7
3 8
3 9
4 5
4 6
4 7
4 8
4 9
5 6
5 7
5 8
5 9
6 7
6 8
6 9
7 8
7 9
8 9

output:

13
0 1 2
0 2 3
2 3 4
1 2 4
0 2 4
4 5 6
4 6 7
6 7 8
5 6 8
4 6 8
0 4 8
4 8 9
0 4 9
0 1
0 1 2
0 1 2 3
0 4
0 4 5
0 4 6
0 4 7
0 4 8
0 4 8 9
1 2
1 2 3
1 2 3 4
1 4 5
1 4 6
1 4 7
1 4 8
1 4 8 9
2 3
2 3 4
2 3 4 5
2 4 6
2 4 7
2 4 8
2 4 8 9
3 4
3 4 5
3 4 5 6
3 4 7
3 4 8
3 4 8 9
4 5
4 5 6
4 5 6 7
4 8
4 8 9
5 6
5...

result:

ok edges: 13

Test #2:

score: 0
Accepted
time: 5ms
memory: 3556kb

input:

30
465
0 1
0 2
0 3
0 4
0 5
0 6
0 7
0 8
0 9
0 10
0 11
0 12
0 13
0 14
0 15
0 16
0 17
0 18
0 19
0 20
0 21
0 22
0 23
0 24
0 25
0 26
0 27
0 28
0 29
0 30
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
1 10
1 11
1 12
1 13
1 14
1 15
1 16
1 17
1 18
1 19
1 20
1 21
1 22
1 23
1 24
1 25
1 26
1 27
1 28
1 29
1 30
2 3
2 4
2 5
2 6...

output:

83
0 1 2
0 2 3
0 3 4
0 4 5
0 5 6
0 6 7
0 7 8
0 8 9
0 9 10
0 10 11
0 11 12
0 12 13
0 13 14
0 14 15
14 15 16
13 14 16
12 13 16
11 12 16
10 11 16
9 10 16
8 9 16
7 8 16
6 7 16
5 6 16
4 5 16
3 4 16
2 3 16
1 2 16
2 3 4
1 2 4
4 5 6
4 6 7
6 7 8
5 6 8
4 6 8
8 9 10
8 10 11
10 11 12
9 10 12
8 10 12
12 13 14
12...

result:

ok edges: 83

Test #3:

score: 0
Accepted
time: 518ms
memory: 4304kb

input:

736
200000
170 268
126 166
565 723
664 735
61 524
226 234
146 314
217 272
294 713
115 381
563 706
74 567
552 614
120 211
472 620
213 432
488 623
447 564
96 129
331 354
79 677
50 547
174 568
56 129
189 227
55 701
244 253
264 715
154 220
380 657
46 390
53 161
325 537
666 696
64 465
391 659
284 448
207...

output:

3648
0 1 2
0 2 3
0 3 4
0 4 5
0 5 6
0 6 7
0 7 8
0 8 9
0 9 10
0 10 11
0 11 12
0 12 13
0 13 14
0 14 15
0 15 16
0 16 17
0 17 18
0 18 19
0 19 20
0 20 21
0 21 22
0 22 23
0 23 24
0 24 25
0 25 26
0 26 27
0 27 28
0 28 29
0 29 30
0 30 31
0 31 32
0 32 33
0 33 34
0 34 35
0 35 36
0 36 37
0 37 38
0 38 39
0 39 40
...

result:

ok edges: 3648

Test #4:

score: 0
Accepted
time: 1353ms
memory: 52540kb

input:

65536
200000
51949 58727
7943 43298
6290 7369
41493 53070
24229 36675
28087 49947
11703 48217
19923 24739
2144 59777
53830 56793
13509 37211
2300 38595
27415 42879
24616 48531
58341 63327
20628 38407
48616 60290
7450 61685
37010 47595
22164 42732
19181 29850
35383 43587
39257 44397
19340 45183
34523...

output:

358784
0 1 2
0 2 3
0 3 4
0 4 5
0 5 6
0 6 7
0 7 8
0 8 9
0 9 10
0 10 11
0 11 12
0 12 13
0 13 14
0 14 15
0 15 16
0 16 17
0 17 18
0 18 19
0 19 20
0 20 21
0 21 22
0 22 23
0 23 24
0 24 25
0 25 26
0 26 27
0 27 28
0 28 29
0 29 30
0 30 31
0 31 32
0 32 33
0 33 34
0 34 35
0 35 36
0 36 37
0 37 38
0 38 39
0 39 4...

result:

ok edges: 358784

Test #5:

score: 0
Accepted
time: 0ms
memory: 3500kb

input:

0
0

output:

0

result:

ok edges: 0

Test #6:

score: 0
Accepted
time: 1ms
memory: 3528kb

input:

1
1
0 1

output:

0
0 1

result:

ok edges: 0

Test #7:

score: 0
Accepted
time: 1ms
memory: 3520kb

input:

2
3
0 1
0 2
1 2

output:

0
0 1
0 1 2
1 2

result:

ok edges: 0

Test #8:

score: 0
Accepted
time: 0ms
memory: 3544kb

input:

3
6
0 1
0 2
0 3
1 2
1 3
2 3

output:

2
0 1 2
0 2 3
0 1
0 1 2
0 1 2 3
1 2
1 2 3
2 3

result:

ok edges: 2

Test #9:

score: 0
Accepted
time: 1282ms
memory: 49960kb

input:

65535
200000
35006 46944
17075 57351
24605 50445
5938 60705
15221 40233
28599 38915
1132 35574
8555 31494
13644 35806
44940 55401
9503 59206
21011 26540
41156 62487
57510 64305
9254 25610
17301 47249
34083 49167
48018 64394
38855 62175
15464 22525
23728 60275
54028 63810
22711 53902
5984 48625
5838 ...

output:

358780
0 1 2
0 2 3
0 3 4
0 4 5
0 5 6
0 6 7
0 7 8
0 8 9
0 9 10
0 10 11
0 11 12
0 12 13
0 13 14
0 14 15
0 15 16
0 16 17
0 17 18
0 18 19
0 19 20
0 20 21
0 21 22
0 22 23
0 23 24
0 24 25
0 25 26
0 26 27
0 27 28
0 28 29
0 29 30
0 30 31
0 31 32
0 32 33
0 33 34
0 34 35
0 35 36
0 36 37
0 37 38
0 38 39
0 39 4...

result:

ok edges: 358780

Test #10:

score: 0
Accepted
time: 1273ms
memory: 50612kb

input:

64800
200000
55124 62263
24992 39760
32262 37059
25987 42889
10413 64701
7223 43221
45810 63205
11437 29357
10814 52096
1154 36319
10730 54157
18473 26729
9152 23374
5426 12744
3502 37577
5559 37160
30503 62433
12426 47332
14933 62086
8781 21527
27180 53773
29658 46742
20592 61553
8337 27197
8024 38...

output:

354572
0 1 2
0 2 3
0 3 4
0 4 5
0 5 6
0 6 7
0 7 8
0 8 9
0 9 10
0 10 11
0 11 12
0 12 13
0 13 14
0 14 15
0 15 16
0 16 17
0 17 18
0 18 19
0 19 20
0 20 21
0 21 22
0 22 23
0 23 24
0 24 25
0 25 26
0 26 27
0 27 28
0 28 29
0 29 30
0 30 31
0 31 32
0 32 33
0 33 34
0 34 35
0 35 36
0 36 37
0 37 38
0 38 39
0 39 4...

result:

ok edges: 354572

Extra Test:

score: 0
Extra Test Passed