QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#135902#385. 游戏maomao90100 ✓25ms28860kbC++174.9kb2023-08-06 15:02:442023-08-06 15:02:47

Judging History

This is the latest submission verdict.

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-08-06 15:02:47]
  • Judged
  • Verdict: 100
  • Time: 25ms
  • Memory: 28860kb
  • [2023-08-06 15:02:44]
  • Submitted

answer


// Hallelujah, praise the one who set me free
// Hallelujah, death has lost its grip on me
// You have broken every chain, There's salvation in your name
// Jesus Christ, my living hope
#include <bits/stdc++.h> 
using namespace std;

#define REP(i, s, e) for (int i = (s); i < (e); i++)
#define RREP(i, s, e) for (int i = (s); i >= (e); i--)
template <class T>
inline bool mnto(T& a, T b) {return a > b ? a = b, 1 : 0;}
template <class T>
inline bool mxto(T& a, T b) {return a < b ? a = b, 1: 0;}

typedef unsigned long long ull;
typedef long long ll;
typedef long double ld;
#define FI first
#define SE second
typedef pair<int, int> ii;
typedef pair<ll, ll> pll;
typedef tuple<int, int, int> iii;
#define ALL(_a) _a.begin(), _a.end()
#define SZ(_a) (int) _a.size()
#define pb push_back
typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<ii> vii;
typedef vector<iii> viii;

#ifndef DEBUG
#define cerr if (0) cerr
#endif

const int INF = 1000000005;
const ll LINF = 1000000000000000005ll;
const int MAXM = 100005;
const int MAXN = 50005;

int n, d;
string s;
int m;
tuple<int, char, int, char> rules[MAXM];
vi adj[MAXN * 4];

inline int getid(int a, char ha) {
    char ot = 'A' + 'B' + 'C' - ha - s[a];
    return ha > ot;
}

vi stk;
int instk[MAXN * 4], pre[MAXN * 4], low[MAXN * 4], comp[MAXN * 4], ptr, cc;
void scc(int u) {
    pre[u] = low[u] = ptr++;
    stk.pb(u);
    instk[u] = 1;
    for (int v : adj[u]) {
        if (!pre[v]) {
            scc(v);
            mnto(low[u], low[v]);
        } else if (instk[v]) {
            mnto(low[u], pre[v]);
        }
    }
    if (pre[u] == low[u]) {
        while (1) {
            int x = stk.back(); stk.pop_back(); instk[x] = 0;
            comp[x] = cc;
            if (x == u) {
                break;
            }
        }
        cc++;
    }
}

int main() {
#ifndef DEBUG
    ios::sync_with_stdio(0), cin.tie(0);
#endif
    cin >> n >> d;
    cin >> s;
    REP (i, 0, n) {
        s[i] -= 32;
    }
    cin >> m;
    REP (i, 0, m) {
        int a, b; char ha, hb; cin >> a >> ha >> b >> hb;
        a--; b--;
        rules[i] = {a, ha, b, hb};
    }
    vi vx;
    REP (i, 0, n) {
        if (s[i] == 'X') {
            vx.pb(i);
        }
    }
    assert(SZ(vx) == d);
    REP (msk, 0, 1 << d) {
        REP (i, 0, d) {
            s[vx[i]] = 'A' + (msk >> i & 1);
        }
        ptr = 1;
        cc = 1;
        REP (i, 0, n << 2) {
            adj[i].clear();
            pre[i] = low[i] = 0;
        }
        //cerr << msk << '\n';
        REP (i, 0, n) {
            //cerr << (i << 2 ^ 1) << " <-> " << (i << 2 ^ 2) << '\n';
            //cerr << (i << 2 ^ 3) << " <-> " << (i << 2) << '\n';
            adj[i << 2 ^ 1].pb(i << 2 ^ 2);
            adj[i << 2 ^ 2].pb(i << 2 ^ 1);
            adj[i << 2 ^ 3].pb(i << 2);
            adj[i << 2].pb(i << 2 ^ 3);
        }
        REP (i, 0, m) {
            auto [a, ha, b, hb] = rules[i];
            if (s[a] == ha) {
                continue;
            }
            //cerr << a << ' ' << ha << ' ' << b << ' ' << hb << '\n';
            int ai = (a << 2) + (getid(a, ha) << 1);
            if (s[b] == hb) {
                //cerr << ai << " -> " << (ai ^ 1) << '\n';
                adj[ai].pb(ai ^ 1);
                continue;
            }
            int bi = (b << 2) + (getid(b, hb) << 1);
            //cerr << ai << " -> " << bi << '\n';
            //cerr << (bi ^ 1) << " -> " << (ai ^ 1) << '\n';
            adj[ai].pb(bi);
            adj[bi ^ 1].pb(ai ^ 1);
        }
        REP (i, 0, n << 2) {
            if (pre[i]) {
                continue;
            }
            scc(i);
            assert(stk.empty());
        }
        bool pos = 1;
        REP (i, 0, n) {
            if (comp[i << 2] == comp[i << 2 ^ 1]) {
                pos = 0;
                break;
            }
            if (comp[i << 2 ^ 2] == comp[i << 2 ^ 3]) {
                pos = 0;
                break;
            }
        }
        if (!pos) {
            continue;
        }
        REP (i, 0, n << 2) {
            //cerr << i << ": " << comp[i] << '\n';
        }
        string ans = "";
        REP (i, 0, n) {
            if (comp[i << 2] < comp[i << 2 ^ 1]) {
                assert(comp[i << 2 ^ 2] > comp[i << 2 ^ 3]);
                REP (j, 'A', 'C' + 1) {
                    if (s[i] != j) {
                        ans += j;
                        break;
                    }
                }
            } else {
                assert(comp[i << 2 ^ 2] < comp[i << 2 ^ 3]);
                RREP (j, 'C', 'A') {
                    if (s[i] != j) {
                        ans += j;
                        break;
                    }
                }
            }
        }
        REP (i, 0, n) {
            assert(ans[i] != s[i]);
        }
        REP (i, 0, m) {
            auto [a, ha, b, hb] = rules[i];
            if (ans[a] == ha) {
                assert(ans[b] == hb);
            }
        }
        cout << ans << '\n';
        return 0;
    }
    cout << -1 << '\n';
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 5
Accepted
time: 0ms
memory: 11736kb

input:

2 0
ba
4
2 C 2 C
1 B 1 A
2 C 1 C
2 B 1 A

output:

AB

result:

ok 

Test #2:

score: 5
Accepted
time: 2ms
memory: 11780kb

input:

2 1
xc
4
2 B 2 A
2 A 1 C
2 C 2 C
2 B 1 A

output:

CA

result:

ok 

Test #3:

score: 5
Accepted
time: 0ms
memory: 11648kb

input:

5 0
bcbbb
10
1 B 1 C
3 C 1 C
2 B 5 A
1 C 1 C
2 A 5 A
3 A 1 C
2 B 1 C
3 A 1 B
1 B 4 B
1 B 4 A

output:

CACAA

result:

ok 

Test #4:

score: 5
Accepted
time: 3ms
memory: 10128kb

input:

5 2
acxax
10
2 B 1 A
3 C 4 C
4 B 3 C
5 B 3 B
2 B 3 A
3 A 2 A
5 B 1 C
3 B 1 B
2 C 4 C
4 B 2 A

output:

BACCC

result:

ok 

Test #5:

score: 5
Accepted
time: 3ms
memory: 9676kb

input:

10 0
abbbacabab
20
5 A 3 B
9 A 4 C
4 C 10 A
8 B 3 C
6 C 10 A
5 A 9 C
8 A 2 C
5 A 8 B
10 A 10 A
5 B 4 B
6 C 10 C
2 C 4 B
5 C 7 B
5 A 10 B
3 A 7 B
6 B 4 B
3 C 8 B
1 B 3 B
4 B 3 C
8 A 2 A

output:

CAAACABCBA

result:

ok 

Test #6:

score: 5
Accepted
time: 3ms
memory: 11732kb

input:

10 4
xbbxccxbxc
20
2 A 10 A
10 C 4 C
1 A 5 A
2 A 2 A
9 C 2 B
2 B 6 C
2 B 9 A
3 B 2 B
4 B 9 A
4 A 5 A
2 B 10 A
3 B 6 A
8 C 8 B
3 B 3 B
3 B 7 A
9 C 6 C
6 A 8 C
4 A 10 A
2 C 4 B
9 C 7 B

output:

BAACABBABA

result:

ok 

Test #7:

score: 5
Accepted
time: 3ms
memory: 11736kb

input:

20 0
cccccccccccccccccccc
40
15 A 13 C
6 B 19 A
3 C 5 B
20 C 6 C
1 C 10 B
10 C 7 C
13 B 17 A
1 A 3 A
15 A 15 A
13 B 18 B
14 A 4 A
1 A 3 A
4 C 14 A
1 B 6 B
2 B 8 B
3 C 15 A
1 B 17 B
6 A 17 A
12 B 6 A
8 B 1 C
15 B 1 B
18 C 3 C
2 A 8 A
14 B 6 B
15 C 9 A
17 A 10 C
15 A 7 A
8 C 6 A
18 B 12 C
14 C 10 A
9 ...

output:

BAABABAABAAAABBABAAA

result:

ok 

Test #8:

score: 5
Accepted
time: 0ms
memory: 11720kb

input:

20 0
caaabacbacabbcacabaa
40
7 B 19 C
15 A 12 B
2 A 12 C
20 B 1 B
4 B 4 A
4 A 18 C
4 A 3 A
15 C 12 A
2 C 12 C
15 B 6 A
10 A 12 B
13 C 7 C
2 C 6 C
16 C 18 A
12 B 17 B
8 C 11 B
14 B 11 A
8 B 8 C
19 A 7 C
6 C 3 C
1 C 4 B
1 C 5 A
13 B 4 C
14 B 9 A
11 A 9 C
8 B 16 B
2 C 20 A
2 A 14 C
10 B 13 A
17 A 19 B
...

output:

BBCCABAABBBAAACABACC

result:

ok 

Test #9:

score: 5
Accepted
time: 0ms
memory: 11732kb

input:

20 8
xccccccxxcxcccccxxxx
40
12 A 18 C
16 C 14 C
10 B 2 C
1 A 10 A
11 A 13 B
15 A 6 B
8 A 14 B
16 A 15 B
4 C 5 C
19 C 4 B
17 C 11 A
12 B 14 C
18 B 17 B
14 A 11 C
16 C 6 C
13 C 20 B
16 B 13 C
8 B 7 C
9 B 16 B
1 B 18 A
7 B 6 A
8 B 19 A
16 C 17 A
8 A 6 A
10 A 14 B
20 C 6 B
13 C 5 A
14 A 3 C
20 B 14 C
4...

output:

CAABBBACCAAABBBACCBC

result:

ok 

Test #10:

score: 5
Accepted
time: 3ms
memory: 11724kb

input:

20 8
cbabxccxxxxxbaxxaaac
40
8 C 7 C
19 C 12 C
19 A 6 B
6 C 20 B
12 B 18 B
6 A 10 B
11 B 14 B
20 C 18 B
4 A 7 C
18 A 1 A
18 C 14 A
5 B 13 B
3 B 7 A
8 C 1 C
14 B 4 C
13 A 1 A
7 A 19 A
11 B 16 A
9 A 7 A
11 C 4 B
10 B 1 A
1 A 1 B
5 A 8 C
20 C 13 A
3 B 11 B
18 C 13 A
11 A 20 B
3 A 16 C
17 A 5 C
6 C 17 B...

output:

BCCCCBBBBCAACBBBCBBB

result:

ok 

Test #11:

score: 5
Accepted
time: 1ms
memory: 9624kb

input:

100 0
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
200
62 A 60 B
22 A 46 A
87 A 67 B
29 A 43 A
64 B 28 B
83 B 16 A
50 A 64 B
48 A 95 A
28 B 90 A
5 A 12 A
23 B 86 A
62 A 81 B
64 B 9 B
5 A 10 B
89 B 18 B
69 B 62 A
63 A 55 A
28 B 92 B
49 A 43 A
71...

output:

ABABBBAAAAABBBBBBABBABABABAABBBBAABBAABBAABBABBBBBABBABABBAAABBABABBAABBAABABBAAAAABBBAAABBAAABBBBBB

result:

ok 

Test #12:

score: 5
Accepted
time: 0ms
memory: 11748kb

input:

100 0
cabaabbaaabacbaccbccacbcaaccccbbcccbabbaaaacccbaaabbcaaabaabcaabcbbcaabaabaaccacbaabbacbbacaaabcbbca
200
94 C 31 A
29 B 48 B
89 C 52 A
49 B 11 C
10 C 66 C
90 B 49 B
80 B 19 B
26 B 54 B
20 B 65 B
52 A 80 B
51 A 33 A
94 C 6 C
18 C 60 A
87 B 45 B
12 C 7 A
26 B 57 A
89 C 54 B
4 B 29 B
39 A 67 C
22...

output:

ABACCACCBCCBAABAAAAABBABBCBAAACCBBBCCACBCCBAABCCCBCCBCBBABCCABBCBCABBCABBCBCABBACCCACBAAACABBBABCCBB

result:

ok 

Test #13:

score: 5
Accepted
time: 2ms
memory: 9904kb

input:

100 8
cccccxccccccxccccxccccccxcccccccxccccxccccccccccxccccccccccccccccccccccccccccccccccccccxcccccccccccc
200
38 A 13 B
60 A 18 B
36 B 76 B
95 A 7 B
25 A 58 B
53 A 27 A
21 A 78 A
15 A 48 A
52 B 59 A
65 B 68 A
72 A 47 A
95 A 48 A
96 A 67 A
96 A 47 A
46 B 96 A
79 B 36 B
60 A 90 B
5 B 95 A
17 A 99 A
2...

output:

AABBACBBAABACBBABBBABAAABAAABBBACBAAABAABBAABABACBBAAAABBBBBBBAAAAABAAABBAAABBAAAABABBBBBABAAABBAABB

result:

ok 

Test #14:

score: 5
Accepted
time: 0ms
memory: 9632kb

input:

100 8
ccbbcaacxxbcxacbcaabxaaccbxcaabacbccaccacbcacxcacccccccbcacbaabbabaacbbababaxabcccacaxabaaacabbcbccc
200
41 A 8 A
75 C 86 C
93 B 26 A
83 C 55 A
49 B 69 B
50 B 54 B
41 A 85 C
43 B 4 A
75 C 95 A
2 A 54 B
14 C 3 A
18 C 79 A
5 B 8 A
61 C 90 B
48 C 96 B
84 A 40 C
55 A 58 B
77 A 47 A
36 A 60 A
2 A 8...

output:

BBCAABBBCBCBBBBAABBCBBCABCBABCCBAAABCAACBCABABACAAAAAABCACACCCCCCCBBACCBABACBBCBBABBBBCCCBCACCCBABBA

result:

ok 

Test #15:

score: 5
Accepted
time: 6ms
memory: 12516kb

input:

5000 0
ccbbbbacccabaacccbccaabcbcbabcabbbcbccacbbcccbccbcacbacaacbccaaacbcaabbacacabaaaccacbaccbbbccaabbbcabcbabaaccbaacacbaaccbacaccababcabbbccacbcabaabababaacccbbababbaabbbaccbabaabbbcbacbbbbbacbbabcabacbbcbaaaaaaccbaaaabccccacaaacabaabaccacabbaacaaccbbcbcaaaccbbccbccbccaacbccacbcbbacaaaaabbacbaab...

output:

-1

result:

ok 

Test #16:

score: 5
Accepted
time: 5ms
memory: 10704kb

input:

5000 8
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc...

output:

ABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABAB...

result:

ok 

Test #17:

score: 5
Accepted
time: 4ms
memory: 12392kb

input:

5000 8
abcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcab...

output:

BCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCA...

result:

ok 

Test #18:

score: 5
Accepted
time: 22ms
memory: 28324kb

input:

50000 0
baabcbbaacbbabababbbabcbcbbcabccaaacccbaaabcabccccbbaacbaaacbcacbabbbbabccabaabbcabacacaaabbaccccbcacaaacbcaacbcacbbabbcbabccbbcacbacbbccacbcabcbcbcacbaacaaccbcbabaaacbcbbccbcacacccbbcabcaccacaaaaaacbcaccaacbbbaaaccaaccaaacbacbaaccaabccaababbabaaaaacbaabaccabacbcbabbcbaabacbbacbbaaabababccac...

output:

ABBAAAABBAAABABABAAABAAAAAAABAAABBBAAAABBBAABAAAAAAABBAABBBAAABAABAAAABAAABABBAAABABABABBBAABAAAAAABABBBAAABBAAABAAABAAAABAAAAAABAABAAAAABAAABAAAAAABAABBABBAAAAABABBBAAAAAAAAABABAAAAAABAABAABABBBBBBAAABAABBAAAABBBAABBAABBBAABAABBAABBAAABBABAABABBBBBAABBABAABABAAAABAAAABBABAAABAAABBBABABAAABABBAABAAA...

result:

ok 

Test #19:

score: 5
Accepted
time: 25ms
memory: 28860kb

input:

50000 8
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc...

output:

ABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABABAB...

result:

ok 

Test #20:

score: 5
Accepted
time: 21ms
memory: 28856kb

input:

50000 8
abcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabcabca...

output:

BCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCABCA...

result:

ok 

Extra Test:

score: 0
Extra Test Passed