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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#709692#6396. Puzzle: Kusabitassei903#AC ✓79ms51656kbC++234.2kb2024-11-04 16:17:532024-11-04 16:17:53

Judging History

你现在查看的是最新测评结果

  • [2024-11-04 16:17:53]
  • 评测
  • 测评结果:AC
  • 用时:79ms
  • 内存:51656kb
  • [2024-11-04 16:17:53]
  • 提交

answer


#include <bits/stdc++.h>
#include <bits/extc++.h> 
using namespace std;
#define sz(x) (int)(x).size()
#define rep(i, l, r) for (int i = l; i < (r); i++)
#define all(x) begin(x), end(x)

using ll = long long;
using vi = vector<int>;

using pii = pair<int, int>;

using ld = long double;
const ld inf = 2e18;

int main() {
    int n;cin >> n;
    vector<vi> g(n);
    vector<int> a(n, 0);// - : 0, Chang(>) : 1, Duan(<) : 2, Tong(=) : 3
    rep(i, 0, n-1) {
        int ii, p;string s;cin >> ii >> p >> s;
        ii--;
        p--;
        g[ii].emplace_back(p);
        g[p].emplace_back(ii);
        if (s[0] == '-') {
            a[ii] = 0;
        }
        else if(s[0] == 'C') {
            a[ii] = 1;
        }
        else if (s[0] == 'D') {
            a[ii] = 2;
        }
        else {
            a[ii] = 3;
        }
    }
    vector<pii> ans; vi depth(n, -1);
    auto dfs = [&](auto self, int v, int p)->tuple<bool, int> {
        vi C, D, T;
        if (a[v] == 1)C.emplace_back(v);
        else if (a[v] == 2)D.emplace_back(v);
        else if (a[v] == 3)T.emplace_back(v);

        for (int u : g[v]) {
            if (u == p) continue;
            depth[u] = depth[v] + 1;
            auto [flag, x] = self(self, u, v);
            if (!flag)return {0, -1};
            if (x != -1) {
                if (a[x] == 1)C.emplace_back(x);
                else if (a[x] == 2)D.emplace_back(x);
                else if (a[x] == 3)T.emplace_back(x);
            }

        }

        if (abs(sz(C) - sz(D)) + (sz(T) % 2) > 1) return {0, -1};

        vi rest;
        int i = 0;
        sort(all(T), [&](int i, int j){return depth[i] < depth[j];});
        while(i < sz(T)) {
            if (i + 1 < sz(T) && depth[T[i]] == depth[T[i+1]]) {
                ans.emplace_back(T[i], T[i+1]);
                i += 2;
            }
            else {
                rest.emplace_back(T[i]);
                i += 1;
            }
        }
        if (sz(C) <= sz(D)) {
            vector<pii> E;
            for(auto x:D)E.emplace_back(x, 1);
            for(auto x:C)E.emplace_back(x, 0);
            sort(all(E), [&](pii i, pii j) {
                if (depth[i.first] == depth[j.first]) return i.second < j.second;
                else return depth[i.first] < depth[j.first];
            });
            stack<int> st;
            // cout << v + 1 << endl;
            for (auto [x, t] : E) {
                // cout << "x, t " << x+1 << " " << t << endl;
                if (t == 1) {
                    st.push(x);
                }
                else {
                    if (st.empty()) return {0, -1};
                    ans.emplace_back(st.top(), x);
                    st.pop();
                }
            }

            if (!st.empty())rest.emplace_back(st.top());
        }
        else {
            vector<pii> E;
            for(auto x:D)E.emplace_back(x, 1);
            for(auto x:C)E.emplace_back(x, 0);
            sort(all(E), [&](pii i, pii j) {
                if (depth[i.first] == depth[j.first]) return i.second < j.second;
                else return depth[i.first] < depth[j.first];
            });
            stack<int> st;
            reverse(all(E));
            // cout << v + 1 << endl;
            for (auto [x, t] : E) {
                // cout << "x, t " << x+1 << " " << t << endl;
                if (t == 0) {
                    st.push(x);
                }
                else {
                    if (st.empty()) return {0, -1};
                    ans.emplace_back(st.top(), x);
                    st.pop();
                }
            }

            if (!st.empty())rest.emplace_back(st.top()); 
        }
        // cout << v + 1 << " :";for(auto x:rest)cout << x + 1 << " " ;cout << endl;
        if (sz(rest) > 1) return {0, -1};
        else if (sz(rest) == 1) return {1, rest.front()};
        else return {1, -1};
    };

    depth[0] = 0;
    auto [flag, x] = dfs(dfs, 0, -1);

    if (flag && x == -1) {
        cout << "YES" << endl;
        for(auto [x, y] : ans) {
            cout << x + 1 << " " << y + 1 << endl;
        }
    }
    else {
        cout << "NO" << endl;
    }

}

詳細信息

Test #1:

score: 100
Accepted
time: 0ms
memory: 3780kb

input:

8
2 1 -
3 1 -
4 2 Tong
5 2 Tong
6 3 Duan
7 3 -
8 7 Chang

output:

YES
4 5
6 8

result:

ok Correct.

Test #2:

score: 0
Accepted
time: 0ms
memory: 3828kb

input:

10
2 1 Duan
3 2 Duan
4 2 -
5 4 Chang
6 2 Chang
7 1 Duan
8 6 Tong
9 6 Tong
10 3 Chang

output:

YES
3 10
8 9
6 2
7 5

result:

ok Correct.

Test #3:

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

input:

2
2 1 Tong

output:

NO

result:

ok Correct.

Test #4:

score: 0
Accepted
time: 78ms
memory: 10284kb

input:

100000
2 1 Duan
3 1 Duan
4 3 -
5 4 Duan
6 3 -
7 4 Duan
8 4 -
9 8 -
10 7 Duan
11 9 -
12 7 Duan
13 7 Duan
14 8 Duan
15 13 -
16 10 Duan
17 11 Duan
18 12 -
19 1 Duan
20 5 Duan
21 4 Duan
22 14 Duan
23 16 -
24 22 Duan
25 16 Duan
26 13 -
27 13 -
28 17 -
29 5 Duan
30 22 -
31 23 -
32 9 Duan
33 5 -
34 30 Duan...

output:

YES
46666 56115
38802 88119
10006 93143
31531 76473
15988 42604
6569 30148
2008 11412
46703 64525
70618 71289
47748 81204
20514 42353
46131 97634
82155 83516
62410 66867
9975 15712
3205 4978
5622 83026
10902 48783
30893 82167
65878 93809
33377 66951
66936 94549
64411 79128
8453 22475
36857 54702
629...

result:

ok Correct.

Test #5:

score: 0
Accepted
time: 55ms
memory: 9392kb

input:

100000
2 1 -
3 2 -
4 3 -
5 4 -
6 4 -
7 6 -
8 7 -
9 5 -
10 9 -
11 10 -
12 6 -
13 12 -
14 11 -
15 9 -
16 14 -
17 16 -
18 10 -
19 15 -
20 13 -
21 20 -
22 17 -
23 22 -
24 22 Duan
25 11 -
26 12 -
27 20 -
28 18 -
29 28 -
30 16 -
31 28 -
32 30 -
33 31 -
34 28 -
35 34 -
36 35 -
37 22 -
38 34 -
39 38 -
40 35...

output:

YES
5203 28541
8106 5981
7551 7900
47998 53424
91669 86909
72002 40295
65376 32334
57528 95652
66693 91216
88445 98194
44959 54118
74202 76761
64661 71470
85084 30271
41192 60344
41421 10342
12876 79425
25933 35989
41959 39297
46303 94979
46189 10581
14956 51797
41806 82599
26090 60566
94132 48923
6...

result:

ok Correct.

Test #6:

score: 0
Accepted
time: 76ms
memory: 10128kb

input:

100000
2 1 -
3 2 -
4 3 Duan
5 4 Chang
6 5 Duan
7 6 Chang
8 7 Duan
9 8 Chang
10 9 Duan
11 10 Chang
12 11 Duan
13 12 Chang
14 12 Duan
15 14 Chang
16 15 Tong
17 15 Tong
18 17 Duan
19 18 Duan
20 19 Chang
21 18 Duan
22 21 Duan
23 18 Chang
24 21 -
25 24 Duan
26 25 Chang
27 26 Duan
28 27 Chang
29 26 Duan
3...

output:

YES
19 20
55 65
52 53
46 48
35 36
22 34
58 61
56 57
1097 1206
1522 1593
1890 1938
1217 1365
1191 1295
2188 2158
1764 2845
1408 1646
3147 5721
2746 2810
2937 3194
2399 2710
3657 3778
2668 3580
2179 2259
2122 2174
2204 2379
2392 2449
2218 2499
2233 2369
2020 2077
8244 9174
14498 15184
14362 15193
1069...

result:

ok Correct.

Test #7:

score: 0
Accepted
time: 67ms
memory: 9908kb

input:

100000
2 1 -
3 2 -
4 3 -
5 4 -
6 5 -
7 6 -
8 7 -
9 8 -
10 9 Duan
11 10 -
12 11 Chang
13 12 Duan
14 13 Chang
15 14 -
16 15 -
17 16 Duan
18 17 Chang
19 17 -
20 19 -
21 20 -
22 21 -
23 22 -
24 23 -
25 24 -
26 25 Duan
27 26 -
28 27 Duan
29 28 -
30 29 Chang
31 28 -
32 31 Chang
33 32 -
34 32 -
35 34 -
36 ...

output:

YES
81 85
105 107
103 117
168 172
275 273
321 333
369 384
314 327
433 463
429 437
543 588
667 639
1273 1167
1160 1375
1117 1176
995 1021
926 929
832 1059
1196 1242
1328 1329
1259 1254
1213 1194
1150 1275
1521 1689
1424 1620
1229 1226
1134 1277
915 1099
1218 1237
1316 1358
1284 1350
2462 2524
2128 23...

result:

ok Correct.

Test #8:

score: 0
Accepted
time: 67ms
memory: 10304kb

input:

100000
2 1 -
3 2 -
4 3 -
5 4 -
6 5 Duan
7 6 -
8 7 -
9 8 -
10 9 Chang
11 10 -
12 11 Duan
13 12 Chang
14 13 -
15 14 Duan
16 15 Chang
17 16 -
18 17 -
19 18 Duan
20 19 -
21 20 -
22 21 -
23 22 Chang
24 23 -
25 24 Duan
26 25 -
27 26 Chang
28 27 -
29 28 -
30 29 -
31 30 Duan
32 31 -
33 32 -
34 33 -
35 34 -
...

output:

YES
68 69
118 120
227 237
221 225
265 266
314 323
304 309
343 346
345 352
338 341
347 350
392 401
436 439
469 471
473 474
463 472
480 482
495 499
477 483
567 570
604 613
584 588
576 577
738 744
739 743
730 732
848 851
809 841
881 886
911 930
947 951
1007 1029
964 1002
946 958
914 919
939 942
952 959...

result:

ok Correct.

Test #9:

score: 0
Accepted
time: 68ms
memory: 10772kb

input:

100000
2 1 -
3 2 -
4 3 -
5 4 -
6 5 Duan
7 6 -
8 7 -
9 8 Chang
10 9 -
11 10 Duan
12 11 -
13 12 Chang
14 13 Duan
15 14 -
16 15 Chang
17 16 -
18 17 Duan
19 18 -
20 19 Chang
21 20 Duan
22 21 Chang
23 22 -
24 23 Duan
25 24 Chang
26 25 Duan
27 26 -
28 27 -
29 28 Chang
30 29 Duan
31 30 Chang
32 31 -
33 32 ...

output:

YES
238 239
272 274
343 344
415 416
432 433
477 478
512 515
539 544
579 582
631 633
700 711
717 724
719 730
784 787
780 782
772 773
777 783
830 831
824 821
816 810
845 849
858 860
868 872
895 897
876 894
873 871
929 936
986 999
984 981
976 980
964 966
950 955
958 967
968 977
996 997
993 995
1038 103...

result:

ok Correct.

Test #10:

score: 0
Accepted
time: 53ms
memory: 11888kb

input:

100000
2 1 -
3 2 -
4 3 -
5 4 -
6 5 -
7 6 -
8 7 -
9 8 -
10 9 -
11 10 -
12 11 -
13 12 -
14 13 -
15 14 -
16 15 -
17 16 -
18 17 -
19 18 -
20 19 -
21 20 -
22 21 -
23 22 -
24 23 -
25 24 -
26 25 -
27 26 -
28 27 -
29 28 -
30 29 -
31 30 -
32 31 -
33 32 -
34 33 -
35 34 -
36 35 -
37 36 -
38 37 -
39 38 -
40 39 ...

output:

YES
4915 4986
6570 6738
13597 14195
22019 22308
31792 31800
38225 38186
43803 43898
41995 41864
42327 42725
43871 43807
43542 43953
46356 46361
47608 47755
46932 47521
44955 46885
48486 48399
49839 50116
49668 49912
53355 54823
54273 54714
53853 54239
52524 52947
55640 57456
58053 58348
59228 59658
...

result:

ok Correct.

Test #11:

score: 0
Accepted
time: 65ms
memory: 9992kb

input:

100000
2 1 -
3 1 -
4 2 -
5 1 -
6 1 -
7 2 Duan
8 4 -
9 1 -
10 1 -
11 2 -
12 2 -
13 2 -
14 6 -
15 1 -
16 6 -
17 1 -
18 5 -
19 1 -
20 1 -
21 2 -
22 8 -
23 6 -
24 1 -
25 4 Duan
26 1 -
27 10 -
28 1 -
29 8 -
30 5 -
31 7 -
32 2 -
33 3 -
34 12 -
35 3 -
36 1 -
37 12 -
38 8 -
39 8 -
40 1 -
41 4 -
42 16 -
43 8...

output:

YES
34242 34406
14906 23870
28768 79207
50509 68052
32304 70759
36687 70523
36153 68751
3567 47669
18177 70173
50978 58218
56574 27598
47073 46683
6904 79895
4139 85751
17677 83196
65881 90916
44928 67031
25922 49996
28068 95211
43712 69374
84697 19260
32128 70765
30451 79850
12144 92289
51006 99611...

result:

ok Correct.

Test #12:

score: 0
Accepted
time: 51ms
memory: 9964kb

input:

100000
2 1 -
3 1 -
4 1 -
5 1 -
6 1 -
7 1 -
8 1 -
9 1 -
10 3 -
11 1 -
12 2 -
13 2 -
14 2 -
15 1 -
16 2 -
17 2 -
18 1 -
19 1 -
20 1 -
21 2 -
22 1 -
23 2 -
24 2 -
25 1 -
26 1 -
27 4 -
28 1 -
29 2 -
30 3 -
31 1 -
32 10 -
33 6 -
34 4 -
35 1 -
36 2 Duan
37 1 -
38 4 -
39 10 -
40 1 -
41 1 -
42 3 -
43 6 -
44...

output:

YES
15102 66302
37177 40113
67735 67876
70745 98880
75547 84740
88398 71830
62593 85699
71970 21755
94458 6455
39981 74239
13515 71421
37672 71660
90862 91238
19470 42744
13573 72747
10218 81223
15063 87004
68085 19357
6427 44673
4280 92721
17731 33161
358 45357
49326 65914
45470 93622
15964 91832
3...

result:

ok Correct.

Test #13:

score: 0
Accepted
time: 60ms
memory: 10508kb

input:

100000
2 1 Duan
3 1 Duan
4 1 Duan
5 1 Duan
6 1 Duan
7 1 -
8 1 Duan
9 1 Duan
10 1 -
11 1 Duan
12 1 -
13 1 Duan
14 1 Duan
15 1 Duan
16 1 Duan
17 1 Duan
18 2 -
19 1 Duan
20 1 Duan
21 2 -
22 2 Duan
23 1 Duan
24 1 Duan
25 1 Duan
26 1 Duan
27 2 Duan
28 1 Duan
29 2 Duan
30 1 Duan
31 2 Duan
32 1 -
33 1 Duan...

output:

YES
63894 95158
88697 88086
85544 75216
73765 72642
72241 69085
14063 61983
55203 54430
50491 41588
40110 38849
34955 27596
1136 15274
10786 18595
21493 24025
25178 30164
30800 40282
50699 52476
59910 76452
79238 86389
91441 96792
1197 30463
34098 46043
47433 49151
56601 57549
59254 65754
66989 8754...

result:

ok Correct.

Test #14:

score: 0
Accepted
time: 47ms
memory: 10304kb

input:

100000
2 1 -
3 1 -
4 1 -
5 1 -
6 1 -
7 1 -
8 1 -
9 1 -
10 1 -
11 1 -
12 1 -
13 1 Duan
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 Duan
30 1 -
31 1 -
32 2 Duan
33 1 -
34 1 -
35 1 Duan
36 1 -
37 1 -
38 1 -
39 1 -
40 1 -
41 1 -
42 1 -
43...

output:

YES
51260 62964
64799 73003
87232 98672
31245 38059
47626 58383
78385 82570
84269 91105
67893 90700
95599 97507
51711 96567
2480 84425
90521 97467
3614 97387
52378 20327
24851 31941
34768 35502
36133 37919
38081 41305
46820 47134
51834 18144
52602 53825
60150 63344
65516 68450
79862 84495
88745 9084...

result:

ok Correct.

Test #15:

score: 0
Accepted
time: 46ms
memory: 10100kb

input:

100000
2 1 Duan
3 1 -
4 1 -
5 1 Duan
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 1 -
31 1 -
32 1 -
33 1 Duan
34 1 -
35 1 -
36 1 -
37 1 -
38 1 -
39 1 -
40 1 -
41 1 -
42 1 -
43 1 ...

output:

YES
51853 97806
89831 81679
70717 62015
60751 59449
56321 54934
54125 53261
24271 49313
49018 46496
43803 39709
39458 38753
38738 38484
37384 32530
58304 99744
99690 97190
93135 88437
76662 73977
73029 71317
68370 61172
61007 58424
18859 57761
57280 55259
54712 46485
44356 43694
39921 34688
33247 30...

result:

ok Correct.

Test #16:

score: 0
Accepted
time: 59ms
memory: 10384kb

input:

100000
2 1 Duan
3 1 Duan
4 1 -
5 1 Duan
6 1 -
7 1 Duan
8 1 Duan
9 1 Duan
10 1 Duan
11 1 -
12 1 -
13 1 -
14 1 Duan
15 1 Duan
16 1 Duan
17 1 -
18 1 Duan
19 1 Duan
20 1 Duan
21 1 -
22 1 -
23 1 Duan
24 1 Duan
25 1 Duan
26 1 -
27 1 -
28 1 Duan
29 1 Duan
30 1 -
31 1 Duan
32 1 Duan
33 1 -
34 1 Duan
35 1 -
...

output:

YES
82705 336
60220 72014
80211 95022
93125 94029
59250 85950
77242 89854
56243 61755
80147 86382
86818 91748
37709 408
87876 89771
83493 452
481 97158
614 92488
824 95750
30379 31237
31218 31062
31048 30964
30860 30850
30689 30666
30642 30487
31450 30316
30298 30147
29890 29748
29745 29652
29648 29...

result:

ok Correct.

Test #17:

score: 0
Accepted
time: 52ms
memory: 9512kb

input:

100000
2 1 -
3 1 -
4 2 -
5 2 -
6 2 Duan
7 3 -
8 1 -
9 1 -
10 6 -
11 3 -
12 2 -
13 7 -
14 1 -
15 9 -
16 11 -
17 13 -
18 9 -
19 16 -
20 19 -
21 8 -
22 5 -
23 14 -
24 21 -
25 21 -
26 16 -
27 5 -
28 5 -
29 19 -
30 8 -
31 24 -
32 30 -
33 12 Duan
34 9 -
35 12 Duan
36 6 -
37 15 -
38 26 -
39 29 -
40 13 -
41...

output:

NO

result:

ok Correct.

Test #18:

score: 0
Accepted
time: 50ms
memory: 9732kb

input:

100000
2 1 Duan
3 2 Duan
4 3 -
5 3 Duan
6 4 -
7 4 Duan
8 3 Duan
9 2 -
10 4 Duan
11 8 Duan
12 6 -
13 3 Duan
14 6 Duan
15 7 Duan
16 6 Duan
17 14 Tong
18 7 -
19 16 Duan
20 14 Duan
21 12 Duan
22 20 Duan
23 14 Duan
24 19 -
25 2 Duan
26 22 -
27 24 Duan
28 8 Duan
29 4 Duan
30 23 Duan
31 24 Duan
32 23 Duan
...

output:

NO

result:

ok Correct.

Test #19:

score: 0
Accepted
time: 45ms
memory: 9480kb

input:

100000
2 1 -
3 2 -
4 3 -
5 4 -
6 5 -
7 4 -
8 7 -
9 8 -
10 9 -
11 10 Duan
12 9 -
13 12 -
14 12 -
15 10 -
16 8 -
17 13 -
18 10 -
19 14 -
20 13 -
21 19 -
22 19 Duan
23 11 -
24 23 Duan
25 23 -
26 5 -
27 22 -
28 22 Duan
29 17 -
30 29 -
31 29 -
32 17 -
33 27 -
34 33 Duan
35 31 -
36 24 -
37 34 -
38 37 -
39...

output:

NO

result:

ok Correct.

Test #20:

score: 0
Accepted
time: 54ms
memory: 9804kb

input:

100000
2 1 Duan
3 2 Chang
4 3 -
5 4 -
6 5 -
7 6 Duan
8 7 -
9 8 Chang
10 9 Duan
11 10 Chang
12 11 -
13 12 Duan
14 13 Chang
15 13 -
16 15 -
17 15 -
18 15 Duan
19 18 -
20 19 Duan
21 19 Chang
22 20 -
23 22 -
24 21 Duan
25 23 -
26 22 -
27 25 Chang
28 26 -
29 28 Duan
30 24 Chang
31 28 -
32 23 -
33 28 -
34...

output:

NO

result:

ok Correct.

Test #21:

score: 0
Accepted
time: 57ms
memory: 9972kb

input:

100000
2 1 Duan
3 2 Chang
4 3 -
5 4 -
6 5 Duan
7 6 -
8 7 -
9 8 Chang
10 9 Duan
11 10 Chang
12 11 Duan
13 12 Chang
14 12 -
15 14 -
16 15 Duan
17 16 Chang
18 17 -
19 17 Duan
20 19 -
21 19 Chang
22 21 -
23 21 Duan
24 23 Duan
25 24 Chang
26 24 Chang
27 24 Duan
28 27 -
29 28 Chang
30 28 Duan
31 30 -
32 3...

output:

NO

result:

ok Correct.

Test #22:

score: 0
Accepted
time: 50ms
memory: 9772kb

input:

100000
2 1 Duan
3 2 Chang
4 3 Duan
5 4 -
6 5 Chang
7 6 -
8 7 Duan
9 8 -
10 9 Chang
11 10 Duan
12 11 Chang
13 12 -
14 13 Duan
15 14 -
16 15 Chang
17 16 -
18 17 Duan
19 18 -
20 19 -
21 20 -
22 21 Chang
23 22 -
24 23 Duan
25 24 Chang
26 25 -
27 26 Duan
28 27 -
29 28 Chang
30 28 Duan
31 30 -
32 31 Chang...

output:

NO

result:

ok Correct.

Test #23:

score: 0
Accepted
time: 50ms
memory: 10232kb

input:

100000
2 1 Duan
3 2 -
4 3 -
5 4 -
6 5 -
7 6 -
8 7 -
9 8 -
10 9 -
11 10 -
12 11 Chang
13 12 Duan
14 13 -
15 14 -
16 15 Chang
17 16 Duan
18 17 Chang
19 18 -
20 19 -
21 20 -
22 21 -
23 22 -
24 23 -
25 24 -
26 25 Duan
27 26 -
28 27 -
29 28 -
30 29 -
31 30 -
32 31 -
33 32 -
34 33 Chang
35 34 -
36 35 -
37...

output:

NO

result:

ok Correct.

Test #24:

score: 0
Accepted
time: 52ms
memory: 11816kb

input:

100000
2 1 -
3 2 -
4 3 -
5 4 -
6 5 Duan
7 6 -
8 7 Chang
9 8 -
10 9 -
11 10 -
12 11 -
13 12 -
14 13 Duan
15 14 -
16 15 Chang
17 16 -
18 17 -
19 18 -
20 19 Duan
21 20 -
22 21 -
23 22 -
24 23 Chang
25 24 -
26 25 Duan
27 26 Chang
28 27 Duan
29 28 -
30 29 -
31 30 -
32 31 Chang
33 32 Duan
34 33 -
35 34 -
...

output:

NO

result:

ok Correct.

Test #25:

score: 0
Accepted
time: 54ms
memory: 9624kb

input:

100000
2 1 Duan
3 1 -
4 1 -
5 1 -
6 3 -
7 2 -
8 2 -
9 4 -
10 1 -
11 2 -
12 3 Duan
13 2 -
14 4 -
15 3 -
16 3 -
17 2 -
18 2 -
19 1 -
20 7 Duan
21 1 -
22 15 -
23 6 -
24 1 -
25 8 -
26 11 -
27 5 -
28 16 -
29 17 -
30 16 -
31 3 -
32 7 -
33 3 Duan
34 7 Duan
35 3 -
36 8 -
37 6 -
38 16 -
39 3 -
40 3 -
41 11 -...

output:

NO

result:

ok Correct.

Test #26:

score: 0
Accepted
time: 58ms
memory: 10016kb

input:

100000
2 1 -
3 1 -
4 1 -
5 1 -
6 1 -
7 1 Duan
8 1 -
9 1 -
10 1 -
11 3 -
12 2 -
13 1 -
14 1 -
15 1 -
16 2 -
17 1 Duan
18 3 -
19 1 -
20 1 Duan
21 8 -
22 2 -
23 3 -
24 3 Duan
25 1 -
26 1 -
27 1 -
28 1 -
29 4 -
30 1 -
31 3 -
32 3 -
33 3 -
34 2 -
35 1 -
36 1 Duan
37 1 -
38 3 -
39 2 -
40 4 -
41 2 Duan
42 ...

output:

NO

result:

ok Correct.

Test #27:

score: 0
Accepted
time: 48ms
memory: 10116kb

input:

100000
2 1 Duan
3 1 Duan
4 1 Duan
5 1 Duan
6 1 Duan
7 1 Duan
8 1 Duan
9 1 Duan
10 1 Duan
11 1 Duan
12 1 Duan
13 1 Duan
14 2 Duan
15 1 Duan
16 1 Duan
17 1 Duan
18 2 Duan
19 1 Duan
20 1 -
21 1 Duan
22 1 Duan
23 1 Duan
24 1 Duan
25 1 Duan
26 1 Duan
27 2 Duan
28 1 Duan
29 1 Duan
30 1 -
31 1 Duan
32 1 Du...

output:

NO

result:

ok Correct.

Test #28:

score: 0
Accepted
time: 50ms
memory: 10256kb

input:

100000
2 1 -
3 1 Duan
4 1 -
5 1 -
6 1 -
7 1 Duan
8 1 -
9 1 Duan
10 1 -
11 1 Duan
12 1 Duan
13 1 Duan
14 1 Duan
15 1 Duan
16 1 -
17 1 Duan
18 1 Duan
19 1 Duan
20 1 Duan
21 1 -
22 1 -
23 1 Duan
24 1 -
25 1 Duan
26 1 Duan
27 1 Duan
28 1 Duan
29 1 Duan
30 1 Duan
31 1 Duan
32 1 -
33 1 -
34 1 Duan
35 1 Du...

output:

NO

result:

ok Correct.

Test #29:

score: 0
Accepted
time: 54ms
memory: 10596kb

input:

100000
2 1 Duan
3 1 Duan
4 1 Duan
5 1 Duan
6 1 Duan
7 1 Duan
8 1 -
9 1 Duan
10 1 Duan
11 1 Duan
12 1 -
13 1 Duan
14 1 Duan
15 1 Duan
16 1 Duan
17 1 Duan
18 1 Duan
19 1 Duan
20 1 -
21 1 -
22 1 Duan
23 1 -
24 1 Duan
25 1 Duan
26 1 Duan
27 1 Duan
28 1 Duan
29 1 Duan
30 1 Duan
31 1 Duan
32 1 Duan
33 1 -...

output:

NO

result:

ok Correct.

Test #30:

score: 0
Accepted
time: 49ms
memory: 10656kb

input:

100000
2 1 Duan
3 1 -
4 1 Duan
5 1 Duan
6 1 Duan
7 1 Duan
8 1 Duan
9 1 Duan
10 1 Duan
11 1 Duan
12 1 Duan
13 1 Duan
14 1 Duan
15 1 Duan
16 1 Duan
17 1 Duan
18 1 Duan
19 1 -
20 1 Duan
21 1 Duan
22 1 Duan
23 1 Duan
24 1 Duan
25 1 Duan
26 1 Duan
27 1 Duan
28 1 -
29 1 Duan
30 1 Duan
31 1 Duan
32 1 -
33 ...

output:

NO

result:

ok Correct.

Test #31:

score: 0
Accepted
time: 75ms
memory: 51656kb

input:

100000
2 1 Duan
3 2 -
4 3 Chang
5 4 -
6 5 Duan
7 6 Chang
8 7 -
9 8 -
10 9 Duan
11 10 Chang
12 11 Duan
13 12 Chang
14 13 Duan
15 14 Chang
16 15 -
17 16 -
18 17 -
19 18 Duan
20 19 -
21 20 -
22 21 Chang
23 22 Duan
24 23 Chang
25 24 -
26 25 Duan
27 26 Chang
28 27 Duan
29 28 -
30 29 Chang
31 30 Duan
32 3...

output:

YES
27101 27102
29449 29450
30581 30582
31108 31109
33544 33545
34348 34349
35394 35395
35626 35627
35741 35742
36325 36326
36979 36980
37025 37026
37780 37781
37916 37917
38565 38566
38778 38779
38882 38884
39162 39163
39440 39441
39609 39610
39688 39689
39923 39924
39994 39995
40980 40981
41017 41...

result:

ok Correct.

Test #32:

score: 0
Accepted
time: 47ms
memory: 10152kb

input:

100000
2 1 Duan
3 1 -
4 1 -
5 1 -
6 1 -
7 1 -
8 1 -
9 1 -
10 1 -
11 1 -
12 1 Tong
13 1 -
14 1 -
15 1 -
16 1 Tong
17 1 -
18 1 -
19 1 -
20 1 -
21 1 -
22 1 Tong
23 1 -
24 1 -
25 1 -
26 1 -
27 1 -
28 1 -
29 1 -
30 1 -
31 1 -
32 1 -
33 1 -
34 1 -
35 1 -
36 1 -
37 1 -
38 1 Tong
39 1 -
40 1 -
41 1 -
42 1 -...

output:

YES
83748 84085
84052 84039
84036 84021
83989 83963
83894 83892
83875 83862
83794 83778
84100 83732
83710 83697
83679 83646
83641 83589
83567 83505
83453 83382
83381 83339
84510 84988
84986 84948
84886 84880
84874 84830
84731 84706
84680 84652
84592 84567
83330 84494
84484 84459
84457 84340
84313 84...

result:

ok Correct.

Test #33:

score: 0
Accepted
time: 61ms
memory: 9388kb

input:

93284
2 1 -
3 1 Duan
4 2 -
5 4 -
6 2 -
7 4 Duan
8 1 -
9 4 -
10 4 Duan
11 6 -
12 7 -
13 6 -
14 1 Duan
15 4 -
16 9 -
17 12 -
18 15 -
19 6 Duan
20 1 -
21 15 -
22 2 -
23 5 Duan
24 7 -
25 22 -
26 13 -
27 12 -
28 6 -
29 27 Duan
30 7 Duan
31 9 -
32 14 -
33 3 -
34 21 -
35 18 -
36 35 -
37 7 -
38 17 Duan
39 2...

output:

YES
9427 44871
58881 75107
7193 33984
9737 33178
31043 89725
31602 50618
870 88133
52086 58845
21758 63567
16605 85296
44633 28152
65095 2705
18041 90927
42717 56227
88253 10288
16710 61450
49645 71661
30561 48970
20860 37354
31734 34821
37862 29953
37189 80450
56610 93257
14996 30431
91146 42455
34...

result:

ok Correct.

Test #34:

score: 0
Accepted
time: 77ms
memory: 9756kb

input:

92284
2 1 Duan
3 2 -
4 3 Duan
5 2 Duan
6 3 -
7 4 Duan
8 6 Duan
9 4 Duan
10 6 Duan
11 4 Duan
12 8 Chang
13 1 Duan
14 5 Duan
15 5 -
16 15 Duan
17 15 Duan
18 13 Chang
19 12 Duan
20 4 -
21 1 Duan
22 17 Duan
23 2 Duan
24 14 Duan
25 17 Duan
26 22 Duan
27 4 -
28 26 Duan
29 9 Duan
30 15 Duan
31 3 Duan
32 7 ...

output:

YES
17459 51080
16873 32219
56156 11101
52633 74549
51694 82117
32559 38566
48460 186
25888 41891
83294 84667
52019 87183
77715 88982
78351 13583
83209 87627
46901 62069
8557 86376
3604 986
79770 83765
49864 80461
74127 22996
42259 69795
91303 61472
29187 35154
15829 25303
27245 62442
171 52319
3885...

result:

ok Correct.

Test #35:

score: 0
Accepted
time: 61ms
memory: 9488kb

input:

93444
2 1 -
3 1 Duan
4 1 Duan
5 2 -
6 4 -
7 3 -
8 6 Duan
9 6 Duan
10 9 -
11 2 -
12 1 -
13 11 -
14 5 -
15 14 Duan
16 11 -
17 16 -
18 4 -
19 7 Duan
20 15 -
21 17 -
22 21 -
23 20 -
24 23 Duan
25 7 -
26 14 Duan
27 18 -
28 13 Duan
29 2 Duan
30 19 Duan
31 5 -
32 7 Duan
33 23 Duan
34 17 Duan
35 2 Duan
36 2...

output:

YES
54500 63791
4643 49024
37302 55459
26344 33770
28229 81449
65404 87768
24623 33539
51327 82147
70787 90272
9603 14888
47285 47877
29487 40135
4308 353
72113 34651
41429 58261
64780 22648
68254 81320
50381 57783
25357 85526
43913 76795
34185 41202
41133 46835
10796 54622
140 76020
1923 47575
1383...

result:

ok Correct.

Test #36:

score: 0
Accepted
time: 72ms
memory: 10072kb

input:

98244
2 1 Duan
3 1 Duan
4 3 Duan
5 4 Duan
6 4 Duan
7 4 Duan
8 5 Duan
9 8 Duan
10 5 Duan
11 9 Duan
12 3 Duan
13 11 Tong
14 5 Duan
15 5 Duan
16 12 Duan
17 2 Duan
18 3 Duan
19 4 Duan
20 2 Duan
21 6 Duan
22 21 Duan
23 1 -
24 15 -
25 20 Duan
26 8 Duan
27 13 Duan
28 12 Duan
29 22 Duan
30 24 Duan
31 21 Dua...

output:

YES
16406 33409
15284 30277
6139 35906
58902 93724
18729 47922
24670 20659
41216 47533
84590 48839
4161 87728
74471 95897
23810 3459
29076 9591
9185 34342
80103 95194
22109 87229
28966 14850
15423 8235
42356 13261
9379 78438
35400 89672
67130 33413
9648 91476
23306 73800
3540 79990
877 87242
92296 9...

result:

ok Correct.

Test #37:

score: 0
Accepted
time: 21ms
memory: 4976kb

input:

25284
2 1 Duan
3 2 -
4 3 -
5 3 Duan
6 2 Duan
7 3 Duan
8 1 Duan
9 5 -
10 4 -
11 5 Duan
12 4 Duan
13 1 Duan
14 4 -
15 10 Duan
16 8 -
17 13 -
18 15 -
19 12 -
20 16 Duan
21 6 Duan
22 2 Duan
23 19 -
24 12 -
25 2 -
26 19 Duan
27 5 -
28 4 -
29 9 -
30 12 Duan
31 7 Duan
32 31 -
33 21 -
34 24 Duan
35 28 Duan
...

output:

YES
5340 14929
7415 15736
22917 23406
14380 15197
14590 24417
7880 3602
1894 15884
9136 12672
3206 5678
15621 24111
14368 20232
25101 21718
1931 7241
19471 24489
8812 23289
12521 22451
130 1629
21864 23008
9095 3189
15113 22734
10604 12465
6641 6996
1537 22852
765 23329
16208 20447
2439 18299
9351 1...

result:

ok Correct.

Test #38:

score: 0
Accepted
time: 67ms
memory: 9652kb

input:

93246
2 1 Duan
3 2 Duan
4 3 Duan
5 1 -
6 4 Tong
7 4 Duan
8 4 Duan
9 8 -
10 6 Duan
11 2 Duan
12 1 Duan
13 11 Duan
14 8 Duan
15 1 Duan
16 8 Duan
17 10 Duan
18 3 Duan
19 1 Duan
20 18 Duan
21 10 Duan
22 14 Duan
23 11 Duan
24 19 Duan
25 21 Duan
26 17 Duan
27 24 Duan
28 24 Duan
29 17 Tong
30 23 Duan
31 17...

output:

YES
20027 82440
37790 82065
55902 13555
9444 93214
14967 54322
47686 8102
23936 71322
77717 78461
45254 48337
52000 83570
24317 29015
723 91719
35283 63413
3250 89556
60951 81387
50544 76768
24023 6264
27168 92751
65278 78391
14547 46265
81407 92070
47136 69857
28099 17204
33721 19861
55462 24774
33...

result:

ok Correct.

Test #39:

score: 0
Accepted
time: 74ms
memory: 10084kb

input:

99837
2 1 -
3 1 -
4 3 Duan
5 2 Duan
6 5 Duan
7 3 Duan
8 5 -
9 6 Duan
10 4 -
11 4 -
12 6 Duan
13 8 -
14 7 -
15 10 Duan
16 11 Duan
17 8 Duan
18 6 -
19 13 Duan
20 16 Duan
21 20 -
22 19 Chang
23 4 Duan
24 13 Duan
25 21 -
26 17 Duan
27 7 Duan
28 8 -
29 3 -
30 18 -
31 21 Duan
32 27 Duan
33 21 Duan
34 17 -...

output:

YES
37610 77117
19111 30206
70345 88367
20744 36504
43637 75785
14266 79180
26231 83709
55639 85507
3564 10520
11286 21314
30850 90540
51043 56410
66938 77737
86756 89082
37423 10348
10238 81449
63757 89645
42718 30451
49790 91346
27842 74087
61765 86402
33536 73518
45163 55707
25335 33231
51349 766...

result:

ok Correct.

Test #40:

score: 0
Accepted
time: 79ms
memory: 9640kb

input:

91248
2 1 Duan
3 1 Duan
4 1 Duan
5 2 Duan
6 3 Duan
7 3 Chang
8 2 Duan
9 1 Duan
10 7 Duan
11 10 Duan
12 4 Duan
13 2 Duan
14 11 Duan
15 6 Duan
16 8 Duan
17 7 Duan
18 2 Duan
19 15 Duan
20 4 Duan
21 7 Duan
22 6 Duan
23 6 Duan
24 20 Duan
25 13 Duan
26 22 Duan
27 5 Duan
28 19 Duan
29 14 Duan
30 12 -
31 8 ...

output:

YES
22567 91137
6625 32840
2746 72793
49857 58707
6406 9195
17873 75118
13271 70816
35070 36187
34727 36004
60624 77775
40146 56136
3419 7879
50744 81884
35818 75987
56940 90945
1090 12926
73408 77013
45541 48058
26944 55452
55908 58680
43609 78364
45709 77661
32151 55964
12836 71423
21580 52096
629...

result:

ok Correct.

Test #41:

score: 0
Accepted
time: 62ms
memory: 9500kb

input:

93538
2 1 -
3 2 -
4 2 -
5 3 Duan
6 4 -
7 4 -
8 2 -
9 1 -
10 7 -
11 4 Duan
12 8 -
13 9 -
14 1 Duan
15 7 Duan
16 3 -
17 5 -
18 14 Duan
19 5 -
20 7 -
21 15 Duan
22 9 -
23 8 -
24 16 Duan
25 5 Duan
26 6 Duan
27 10 -
28 7 -
29 21 Duan
30 1 -
31 18 -
32 13 -
33 6 -
34 28 -
35 16 Duan
36 32 Duan
37 22 -
38 ...

output:

YES
43838 19363
42715 63190
10322 20329
78903 70798
14986 45972
62809 83054
1456 52182
19710 62218
84523 85461
12256 52940
7475 31914
39273 86366
21575 61296
12897 78432
23096 67416
61831 81263
686 53716
24734 31961
29776 45084
57302 70937
58268 25231
35275 85989
19412 19663
70970 45326
34007 55647
...

result:

ok Correct.

Test #42:

score: 0
Accepted
time: 59ms
memory: 9484kb

input:

92384
2 1 Duan
3 2 -
4 3 Duan
5 3 Duan
6 3 -
7 2 Duan
8 1 -
9 7 Duan
10 5 Chang
11 4 -
12 3 Duan
13 7 -
14 9 Duan
15 14 Chang
16 3 Duan
17 6 Duan
18 10 Duan
19 17 Duan
20 10 -
21 2 Duan
22 10 -
23 5 Duan
24 18 -
25 11 -
26 13 Duan
27 12 Duan
28 1 -
29 18 Duan
30 28 Duan
31 28 -
32 16 -
33 27 Duan
34...

output:

YES
40096 40387
43478 83783
3917 3661
50150 89303
15374 18917
34799 48940
61144 81225
63107 81589
20682 29948
1795 14730
13591 23638
2983 84669
33792 38473
26822 33668
72727 91365
52159 58495
10991 54079
69625 73581
31305 43086
39523 48339
14352 88518
65295 91546
34909 89085
34637 3467
17285 74155
9...

result:

ok Correct.

Test #43:

score: 0
Accepted
time: 0ms
memory: 3592kb

input:

1

output:

YES

result:

ok Correct.