| Task: | Käännöt | 
| Sender: | stpn129 | 
| Submission time: | 2023-11-08 15:25:49 +0200 | 
| Language: | C++ (C++11) | 
| Status: | READY | 
| Result: | 32 | 
| group | verdict | score | 
|---|---|---|
| #1 | ACCEPTED | 13 | 
| #2 | ACCEPTED | 19 | 
| #3 | TIME LIMIT EXCEEDED | 0 | 
| #4 | WRONG ANSWER | 0 | 
| test | verdict | time | group | |
|---|---|---|---|---|
| #1 | ACCEPTED | 0.00 s | 1 | details | 
| #2 | ACCEPTED | 0.00 s | 1 | details | 
| #3 | ACCEPTED | 0.00 s | 1 | details | 
| #4 | ACCEPTED | 0.00 s | 1 | details | 
| #5 | ACCEPTED | 0.00 s | 1 | details | 
| #6 | ACCEPTED | 0.00 s | 2 | details | 
| #7 | ACCEPTED | 0.00 s | 2 | details | 
| #8 | ACCEPTED | 0.00 s | 2 | details | 
| #9 | ACCEPTED | 0.00 s | 2 | details | 
| #10 | ACCEPTED | 0.00 s | 2 | details | 
| #11 | ACCEPTED | 0.01 s | 2 | details | 
| #12 | ACCEPTED | 0.01 s | 2 | details | 
| #13 | ACCEPTED | 0.01 s | 2 | details | 
| #14 | ACCEPTED | 0.01 s | 2 | details | 
| #15 | ACCEPTED | 0.01 s | 2 | details | 
| #16 | ACCEPTED | 0.01 s | 2 | details | 
| #17 | ACCEPTED | 0.00 s | 3 | details | 
| #18 | ACCEPTED | 0.00 s | 3 | details | 
| #19 | ACCEPTED | 0.01 s | 3 | details | 
| #20 | TIME LIMIT EXCEEDED | -- | 3 | details | 
| #21 | TIME LIMIT EXCEEDED | -- | 3 | details | 
| #22 | ACCEPTED | 0.01 s | 3 | details | 
| #23 | ACCEPTED | 0.01 s | 3 | details | 
| #24 | ACCEPTED | 0.00 s | 3 | details | 
| #25 | ACCEPTED | 0.01 s | 3 | details | 
| #26 | ACCEPTED | 0.00 s | 4 | details | 
| #27 | ACCEPTED | 0.00 s | 4 | details | 
| #28 | WRONG ANSWER | 0.00 s | 4 | details | 
| #29 | WRONG ANSWER | 0.00 s | 4 | details | 
| #30 | WRONG ANSWER | 0.00 s | 4 | details | 
| #31 | ACCEPTED | 0.01 s | 4 | details | 
| #32 | ACCEPTED | 0.01 s | 4 | details | 
| #33 | ACCEPTED | 0.01 s | 4 | details | 
| #34 | WRONG ANSWER | 0.00 s | 4 | details | 
Code
#include <bits/stdc++.h>
 
using namespace std;
 
void init_code() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
#ifndef ONLINE_JUDGE
    freopen("input.txt", "r", stdin);
    freopen("output.txt", "w", stdout);
#endif
}
 
bool is_ok(int j, int i, int n, int k) {
    if (j < 1 || (j + (k - 1)) > n || j <= i) {
        return false;
    }
 
    return true;
}
 
void rev(int i, int k, vector<int>& a, vector<int>& pos, vector<int>& res) {
    reverse(a.begin() + i, a.begin() + i + k);
 
    for (int ik = 0; ik <= k - 1; ++ik) {
        pos[a[i + ik]] = i + ik;
    }
 
    res.push_back(i);
}
vector<int> compress(vector<int>& a) {
    vector<int> b = a;
    sort(b.begin(), b.end());
    b.erase(unique(b.begin(), b.end()), b.end());
    for (int &x : a)
        x = int(lower_bound(b.begin(), b.end(), x) - b.begin()) + 1;
    return a;
}
vector<int> solve2(int n, int k, vector<int>& a) {
    queue<vector<int>>  q;
    q.push(a);
    map<vector<int>, int> d;
    d[a] = 0;
    map<vector<int>, vector<int>> prev;
    
    map<vector<int>, int> prev_op;
    prev_op[a] = -1;
    while (!q.empty()) {
        vector<int> v = q.front();
        q.pop();
        if (is_sorted(v.begin(), v.end())) {
            vector<int> ops;
            while (prev_op[v] != -1) {
                ops.push_back(prev_op[v] + 1);
                v = prev[v];
            }
            reverse(ops.begin(), ops.end());
            return ops;
        }
        for (int i = 0; i < n - (k - 1); ++i) {
            vector<int> next = v;
            reverse(next.begin() + i, next.begin() + i + k);
            if (!d.count(next) || d[next] > d[v] + 1) {
                q.push(next);
                
                prev[next] = v;
                prev_op[next] = i;
                d[next] = d[v] + 1;
            }
        }
    }
    return vector<int> ();
}
void solve() {
    int n, k;
    cin >> n >> k;
 
    vector<int> a(n + 1, -1), pos(n + 1);
    for (int i = 1; i <= n; ++i) {
        cin >> a[i];
        pos[a[i]] = i;
    }
    vector<int> res;
    if (n <= 8) {
        a.erase(a.begin());
        res = solve2(n, k, a);
        a.insert(a.begin(), 0);
        vector<int> tmp;
        for (auto i : res) {
            rev(i, k, a, pos, tmp);
        }
        if (res.size() > 0 || is_sorted(a.begin() + 1, a.end())) {
            cout << "YES" << '\n';
            cout << res.size() << '\n';
            for (auto i : res) {
                cout << i << ' ';
            }
            cout << '\n';
        } else {
            cout << "NO" << '\n';
        }
        return;
    }
 
    for (int i = 1; i <= n; ++i) {
        if (a[i] == i) {
            continue;
        }
 
        int j = pos[i];
        
        vector<int> fix;
        if ((j - i) % (k - 1) != 0) {
            queue<pair<vector<int>, int>> q;    
            q.push({vector<int> (), j});
 
            int x = 0;
            while (!q.empty() && x <= 100000 / 2) {
                vector<int> op = q.front().first;
                int cur_j = q.front().second;
 
                q.pop();
 
                if (cur_j < i) {
                    continue;
                }
 
                if ((cur_j - i) % (k - 1) == 0) {
                    fix = op;
                    break;
                }
 
                for (int it = cur_j - (k - 1); it <= cur_j; ++it) {
                    if (is_ok(it, i, n, k)) {
                        op.push_back(it);
                        int new_j = it + k - (abs(cur_j - it) + 1);
                        q.push({op, new_j});
                        op.pop_back();
                        x++;
                    }
                }
            }
        }
        
        for (auto it : fix) {
            rev(it, k, a, pos, res);
        }
        
        j = pos[i];
 
        if ((j - i) % (k - 1) == 0) {
            while (j != i) {
                rev(j - (k - 1), k, a, pos, res);
                j -= (k - 1);
            }
        } else {
            break;
        }
    }
    if (is_sorted(a.begin() + 1, a.end())) {
        cout << "YES" << '\n';
        cout << res.size() << '\n';
        for (auto i : res) {
            cout << i << ' ';
        }
        cout << '\n';
        return;
    }
    if (k != 4) {
        cout << "NO" << '\n';
        return;
    }
    map<vector<int>, vector<int>> mp;
    mp[{1, 2, 3, 4, 5, 7, 8, 6}] = {3, 2, 5, 2, 4, 5, 2, 4};
    mp[{1, 2, 3, 4, 5, 8, 6, 7}] = {4, 2, 5, 4, 2, 5, 2, 3};
    mp[{1, 2, 3, 4, 6, 5, 8, 7}] = {3, 4, 3, 5, 3, 4, 3};
    mp[{1, 2, 3, 4, 6, 7, 5, 8}] = {2, 1, 4, 1, 3, 4, 1, 3};
    mp[{1, 2, 3, 4, 6, 8, 7, 5}] = {2, 1, 4, 5, 4, 3, 1, 2};
    mp[{1, 2, 3, 4, 7, 5, 6, 8}] = {3, 1, 4, 3, 1, 4, 1, 2};
    mp[{1, 2, 3, 4, 7, 6, 8, 5}] = {3, 4, 3, 2, 5, 2, 5, 2};
    mp[{1, 2, 3, 4, 7, 8, 5, 6}] = {3, 2, 3, 5, 3, 2, 3};
    mp[{1, 2, 3, 4, 8, 5, 7, 6}] = {2, 1, 3, 4, 5, 4, 1, 2};
    mp[{1, 2, 3, 4, 8, 6, 5, 7}] = {2, 4, 2, 5, 4, 3, 2, 4};
    mp[{1, 2, 3, 4, 8, 7, 6, 5}] = {5};
    vector<int> lst;
    for (int i = n - 7; i <= n; ++i) {
        lst.push_back(a[i]);
    }
    lst = compress(lst);
    for (auto i : mp[lst]) {
        //cout << "OMH" << '\n';
        rev(i + (n - 8), k, a, pos, res);
    }
    
    if (is_sorted(a.begin() + 1, a.end())) {
        cout << "YES" << '\n';
        cout << res.size() << '\n';
        for (auto i : res) {
            cout << i << ' ';
        }
        cout << '\n';
        return;
    }
    cout << "NO" << '\n';
}
 
signed main() {
    init_code();
    int t = 1;
    // cin >> t;
    while (t--) {
        solve();
    }
    return 0;
}Test details
Test 1
Group: 1
Verdict: ACCEPTED
| input | 
|---|
| 5 2 1 2 3 4 5  | 
| correct output | 
|---|
| YES 0  | 
| user output | 
|---|
| YES 0  | 
Test 2
Group: 1
Verdict: ACCEPTED
| input | 
|---|
| 5 2 2 1 3 4 5  | 
| correct output | 
|---|
| YES 1 1  | 
| user output | 
|---|
| YES 1 1  | 
Test 3
Group: 1
Verdict: ACCEPTED
| input | 
|---|
| 20 2 6 20 18 2 16 13 19 17 8 14 11 ...  | 
| correct output | 
|---|
| YES 366 2 3 4 5 6 7 8 9 10 11 12 13 14...  | 
| user output | 
|---|
| YES 132 19 18 17 16 15 14 13 12 11 10 ... Truncated  | 
Test 4
Group: 1
Verdict: ACCEPTED
| input | 
|---|
| 100 2 100 92 62 88 12 7 43 31 19 72 ...  | 
| correct output | 
|---|
| YES 2876 1 2 3 4 5 6 7 8 9 10 11 12 13 ...  | 
| user output | 
|---|
| YES 2438 77 76 75 74 73 72 71 70 69 68 ... Truncated  | 
Test 5
Group: 1
Verdict: ACCEPTED
| input | 
|---|
| 100 2 100 99 98 97 96 95 94 93 92 91...  | 
| correct output | 
|---|
| YES 5248 1 2 3 4 5 6 7 8 9 10 11 12 13 ...  | 
| user output | 
|---|
| YES 4950 99 98 97 96 95 94 93 92 91 90 ... Truncated  | 
Test 6
Group: 2
Verdict: ACCEPTED
| input | 
|---|
| 5 3 1 2 3 4 5  | 
| correct output | 
|---|
| YES 0  | 
| user output | 
|---|
| YES 0  | 
Test 7
Group: 2
Verdict: ACCEPTED
| input | 
|---|
| 5 3 3 5 4 1 2  | 
| correct output | 
|---|
| NO | 
| user output | 
|---|
| NO | 
Test 8
Group: 2
Verdict: ACCEPTED
| input | 
|---|
| 5 3 5 2 1 4 3  | 
| correct output | 
|---|
| YES 8 1 2 1 3 1 2 3 1  | 
| user output | 
|---|
| YES 2 1 3  | 
Test 9
Group: 2
Verdict: ACCEPTED
| input | 
|---|
| 20 3 19 14 1 18 3 4 11 20 13 6 17 8...  | 
| correct output | 
|---|
| YES 52 8 10 12 14 16 18 1 3 5 7 9 11 ...  | 
| user output | 
|---|
| YES 42 1 12 10 8 6 4 2 3 6 4 11 9 7 5... Truncated  | 
Test 10
Group: 2
Verdict: ACCEPTED
| input | 
|---|
| 20 3 9 6 13 18 5 10 3 2 7 20 1 4 19...  | 
| correct output | 
|---|
| YES 50 10 12 14 16 18 13 15 17 4 6 8 ...  | 
| user output | 
|---|
| YES 34 9 7 5 3 1 6 4 2 7 5 3 10 8 6 4... Truncated  | 
Test 11
Group: 2
Verdict: ACCEPTED
| input | 
|---|
| 500 3 53 52 21 76 25 142 5 4 83 176 ...  | 
| correct output | 
|---|
| YES 15194 334 336 338 340 342 344 346 34...  | 
| user output | 
|---|
| YES 15174 67 65 63 61 59 57 55 53 51 49 ... Truncated  | 
Test 12
Group: 2
Verdict: ACCEPTED
| input | 
|---|
| 500 3 51 44 147 172 1 28 27 82 233 1...  | 
| correct output | 
|---|
| YES 15565 366 368 370 372 374 376 378 38...  | 
| user output | 
|---|
| YES 15543 3 1 108 106 104 102 100 98 96 ... Truncated  | 
Test 13
Group: 2
Verdict: ACCEPTED
| input | 
|---|
| 500 3 75 46 179 62 221 14 67 154 89 ...  | 
| correct output | 
|---|
| YES 15920 454 456 458 460 462 464 466 46...  | 
| user output | 
|---|
| YES 15902 75 73 71 69 67 65 63 61 59 57 ... Truncated  | 
Test 14
Group: 2
Verdict: ACCEPTED
| input | 
|---|
| 500 3 161 54 285 12 71 142 111 94 97...  | 
| correct output | 
|---|
| YES 15931 408 410 412 414 416 418 420 42...  | 
| user output | 
|---|
| YES 15907 275 273 271 269 267 265 263 26... Truncated  | 
Test 15
Group: 2
Verdict: ACCEPTED
| input | 
|---|
| 500 3 122 260 455 113 315 276 433 43...  | 
| correct output | 
|---|
| NO | 
| user output | 
|---|
| NO | 
Test 16
Group: 2
Verdict: ACCEPTED
| input | 
|---|
| 500 3 499 500 497 498 495 496 493 49...  | 
| correct output | 
|---|
| YES 62264 2 4 6 8 10 12 14 16 18 20 22 2...  | 
| user output | 
|---|
| YES 62250 497 495 493 491 489 487 485 48... Truncated  | 
Test 17
Group: 3
Verdict: ACCEPTED
| input | 
|---|
| 5 4 1 2 3 4 5  | 
| correct output | 
|---|
| YES 0  | 
| user output | 
|---|
| YES 0  | 
Test 18
Group: 3
Verdict: ACCEPTED
| input | 
|---|
| 5 4 5 1 2 3 4  | 
| correct output | 
|---|
| YES 4 1 2 1 2  | 
| user output | 
|---|
| YES 4 1 2 1 2  | 
Test 19
Group: 3
Verdict: ACCEPTED
| input | 
|---|
| 500 4 58 14 107 124 4 113 24 290 56 ...  | 
| correct output | 
|---|
| YES 15698 389 392 395 398 401 404 407 41...  | 
| user output | 
|---|
| YES 14521 26 25 22 19 16 13 10 7 4 1 21 ... Truncated  | 
Test 20
Group: 3
Verdict: TIME LIMIT EXCEEDED
| input | 
|---|
| 500 4 113 187 278 242 23 67 48 298 3...  | 
| correct output | 
|---|
| YES 15004 480 481 480 482 485 488 491 49...  | 
| user output | 
|---|
| (empty) | 
Test 21
Group: 3
Verdict: TIME LIMIT EXCEEDED
| input | 
|---|
| 500 4 5 233 199 35 213 354 11 134 30...  | 
| correct output | 
|---|
| YES 16770 458 461 464 467 470 473 476 47...  | 
| user output | 
|---|
| (empty) | 
Test 22
Group: 3
Verdict: ACCEPTED
| input | 
|---|
| 500 4 169 47 21 137 57 138 360 147 4...  | 
| correct output | 
|---|
| YES 15889 497 371 372 371 373 376 379 38...  | 
| user output | 
|---|
| YES 14638 58 55 52 49 46 43 40 37 34 31 ... Truncated  | 
Test 23
Group: 3
Verdict: ACCEPTED
| input | 
|---|
| 500 4 493 409 291 313 156 443 496 40...  | 
| correct output | 
|---|
| YES 22886 480 481 480 482 485 488 491 49...  | 
| user output | 
|---|
| YES 21764 339 337 334 331 328 325 322 31... Truncated  | 
Test 24
Group: 3
Verdict: ACCEPTED
| input | 
|---|
| 500 4 137 99 100 226 326 298 140 340...  | 
| correct output | 
|---|
| NO | 
| user output | 
|---|
| NO | 
Test 25
Group: 3
Verdict: ACCEPTED
| input | 
|---|
| 500 4 500 499 498 497 496 495 494 49...  | 
| correct output | 
|---|
| YES 41458 1 2 1 2 5 8 11 14 17 20 23 26 ...  | 
| user output | 
|---|
| YES 41416 497 495 493 490 487 484 481 47... Truncated  | 
Test 26
Group: 4
Verdict: ACCEPTED
| input | 
|---|
| 5 5 1 2 3 4 5  | 
| correct output | 
|---|
| YES 0  | 
| user output | 
|---|
| YES 0  | 
Test 27
Group: 4
Verdict: ACCEPTED
| input | 
|---|
| 5 5 5 4 3 2 1  | 
| correct output | 
|---|
| YES 1 1  | 
| user output | 
|---|
| YES 1 1  | 
Test 28
Group: 4
Verdict: WRONG ANSWER
| input | 
|---|
| 500 5 145 26 285 154 147 314 141 40 ...  | 
| correct output | 
|---|
| YES 13786 216 220 224 228 232 236 240 24...  | 
| user output | 
|---|
| NO | 
Test 29
Group: 4
Verdict: WRONG ANSWER
| input | 
|---|
| 500 5 137 22 399 292 249 6 51 224 42...  | 
| correct output | 
|---|
| YES 13465 456 460 464 468 472 476 480 48...  | 
| user output | 
|---|
| NO | 
Test 30
Group: 4
Verdict: WRONG ANSWER
| input | 
|---|
| 500 5 153 52 85 100 329 60 433 468 4...  | 
| correct output | 
|---|
| YES 13642 377 378 377 380 384 388 392 39...  | 
| user output | 
|---|
| NO | 
Test 31
Group: 4
Verdict: ACCEPTED
| input | 
|---|
| 500 5 267 326 95 108 189 32 291 366 ...  | 
| correct output | 
|---|
| YES 14639 213 214 213 216 220 224 228 23...  | 
| user output | 
|---|
| YES 13851 361 357 353 349 345 341 337 33... Truncated  | 
Test 32
Group: 4
Verdict: ACCEPTED
| input | 
|---|
| 500 5 15 450 272 80 321 101 247 438 ...  | 
| correct output | 
|---|
| NO | 
| user output | 
|---|
| NO | 
Test 33
Group: 4
Verdict: ACCEPTED
| input | 
|---|
| 499 5 497 498 499 496 495 494 493 49...  | 
| correct output | 
|---|
| YES 30886 3 7 11 15 19 23 27 31 35 39 43...  | 
| user output | 
|---|
| YES 30630 495 492 489 485 481 477 473 46... Truncated  | 
Test 34
Group: 4
Verdict: WRONG ANSWER
| input | 
|---|
| 500 5 499 500 497 498 495 496 493 49...  | 
| correct output | 
|---|
| YES 30919 1 4 8 12 16 20 24 28 32 36 40 ...  | 
| user output | 
|---|
| NO | 
