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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#780381#8680. Turning Reducup-team5217#AC ✓129ms52704kbC++232.8kb2024-11-25 10:31:292024-11-25 10:31:30

Judging History

你现在查看的是最新测评结果

  • [2024-11-25 10:31:30]
  • 评测
  • 测评结果:AC
  • 用时:129ms
  • 内存:52704kb
  • [2024-11-25 10:31:29]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;

#define maxn 500005

typedef pair<int, int> pii;

vector<int> btn[maxn], fa[maxn];
int a[maxn], b[maxn], deg[maxn], odeg[maxn], op[maxn], f[3][maxn];
bool vis[maxn];

void solve(void) {
    int n, m;
    cin >> n >> m;
    string s;
    cin >> s;
    for (int i = 0; i < n; i++) a[i + 1] = b[i + 1] = (s[i] == 'R' ? 0 : (s[i] == 'G' ? 1 : 2));
    for (int i = 1, k, x; i <= m; i++) {
        cin >> k;
        while (k--) cin >> x, btn[i].push_back(x), fa[x].push_back(i), deg[x]++, odeg[x]++;
    }
    
    for (int i = 1; i <= n; i++)
        if (deg[i] == 0 && a[i] != 0) return cout << "impossible" << endl, void();

    queue<int> que;
    vector<int> btns, ptns;

    auto lim = [&](void) -> bool {
        while (!que.empty()) {
            int p = que.front();
            que.pop();
            for (auto i : btn[p]) {
                a[i] = (a[i] + op[p]) % 3, ptns.push_back(i);
                if (--deg[i] == 1) {
                    int x = fa[i][fa[i][0] == p], d = (3 - a[i]) % 3;
                    if (vis[x]) {
                        if (op[x] != d) return false;
                    } else
                        que.push(x), op[x] = d, vis[x] = true, btns.push_back(x);
                }
            }
        }
        return true;
    };

    for (int i = 1; i <= n; i++)
        if (deg[i] == 1) {
            int x = fa[i][0], d = (3 - a[i]) % 3;
            if (vis[x]) {
                if (op[x] != d) return cout << "impossible" << endl, void();
            } else
                que.push(x), op[x] = d, vis[x] = true;
        }

    if (!lim()) return cout << "impossible" << endl, void();

    for (int i = 1; i <= n; i++) {
        if (a[i] == 0) continue;
        int p = fa[i][0];
        pii cur = {INT_MAX, 0};
        for (op[p] = 0; op[p] < 3; op[p]++) {
            btns.clear(), ptns.clear();

            btns.push_back(p), vis[p] = true, que.push(p);
            int sum = 0;
            if (!lim())
                sum = INT_MAX;
            else
                for (auto b : btns) sum += op[b];

            for (auto b : btns) f[op[p]][b] = op[b], vis[b] = false;
            for (auto p : ptns) a[p] = b[p], deg[p] = odeg[p];

            cur = min(cur, pii{sum, op[p]});
        }
        if (cur.first == INT_MAX) return cout << "impossible" << endl, void();

        btns.clear(), ptns.clear();

        btns.push_back(p), op[p] = cur.second, vis[p] = true, que.push(p);
        lim();
    }

    int ans = 0;
    for (int i = 1; i <= m; i++) ans += op[i];
    cout << ans << endl;

    return;
}

int main() {
    ios::sync_with_stdio(false), cin.tie(nullptr);

    int _ = 1;
    while (_--) solve();

    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 69ms
memory: 33320kb

input:

200000 171004
RGRGBBBGGBRRRBBRRBRBBGRRRGGGGRRRRGBBBRGGGBGGRGGRGRRBRBRRGGBGGGGBRBRBRRBRBRGRRGRBRRBGRRRRBRBBBRGBBBGRRBRGRRGGRGGBGRBGRBRGBBRRBBBGBGRGBBRBGGGGBBBBRBRRRGBGRRBBGGGRRBRBBRGRBGRBRGGBRBBBBRGGRRRBGRBGRBRRRGRGRRBRGRRGRRGBBBBRGGBBRRBGGBGBGRBRGBGGRRGRBRRGGRGRBBBRRBBRRGGRRRRGBRGGGGGGRGBRGRBBBGRBBG...

output:

impossible

result:

ok single line: 'impossible'

Test #2:

score: 0
Accepted
time: 2ms
memory: 7916kb

input:

10 0
RRRRRRRRRR

output:

0

result:

ok single line: '0'

Test #3:

score: 0
Accepted
time: 2ms
memory: 7668kb

input:

10 0
GGGGGGGGGG

output:

impossible

result:

ok single line: 'impossible'

Test #4:

score: 0
Accepted
time: 2ms
memory: 7888kb

input:

10 0
BBBBBBBBBB

output:

impossible

result:

ok single line: 'impossible'

Test #5:

score: 0
Accepted
time: 2ms
memory: 7700kb

input:

10 0
RGBRGBRGBR

output:

impossible

result:

ok single line: 'impossible'

Test #6:

score: 0
Accepted
time: 2ms
memory: 7968kb

input:

10 0
GBBRRRBRGB

output:

impossible

result:

ok single line: 'impossible'

Test #7:

score: 0
Accepted
time: 0ms
memory: 14036kb

input:

10 2
BBRRBRBRRR
7 7 8 5 3 10 9 4
5 6 10 1 3 2

output:

impossible

result:

ok single line: 'impossible'

Test #8:

score: 0
Accepted
time: 0ms
memory: 17964kb

input:

10 9
RRRRRBGRRG
1 10
5 9 3 8 2 5
2 8 7
1 7
1 10
2 6 1
1 3
1 6
4 1 9 4 2

output:

5

result:

ok single line: '5'

Test #9:

score: 0
Accepted
time: 52ms
memory: 26752kb

input:

200000 10000
RBBBBGRRGGRBRGRGBBRBGGRGRGRBBRRRGRGRGRBGRBBBBGBGBBGGBBGGGGBRGBBBBBBRRGBBGGGRBBBGBRGGGRRGGGGBGBGBGRBBGGRRRGGGRGGRBRRBGRGRBBGBGGRGBBRBBBGGRGBBGBBBBBGRGBGGRGBGGBGRRBGBBGRBGBGGRBBBGBBBGGGBBBRBBGRRRBGBBRBRBBGRGGGBBRGRRRGRRRRGRRBGBRRRRGBBRBBGRRRRBRBRRRGBGRGGBGRBRBGBBRRGBBRBBBGBGGGBBRGRBRRGBBR...

output:

impossible

result:

ok single line: 'impossible'

Test #10:

score: 0
Accepted
time: 54ms
memory: 26536kb

input:

200000 49974
GRBRRGBRRRRRGBRBGRRBGGGRRRRBGGBBBGRRGBBRBGBRBRRBRBBRGRBGGBBGBBRRRBGGBRBRRGBRRRBRRGRGRGRBGRBGBBBGGGRGRBGRGGRBBRBRGGBRBBRRGGGRBGBGBGRBRBRGGBBBRBBRGRRBBGBGRBBRBBBRGGGGRRBGBBRGBGBGGBRBGGRGGGBRRRBBBGRRRRGBBBGBBGRRRBGRGGGRGBRGBGRBBRBRRBGGRGBBRGBBBRGRBBBRRGGRRRGGRRRGRRBGGGBGRRGBRRRRRGRGBGGRRRR...

output:

impossible

result:

ok single line: 'impossible'

Test #11:

score: 0
Accepted
time: 61ms
memory: 28476kb

input:

200000 97963
GRBBRBGGGBGBBGRBBBRGRGBBBGBRBGBGGGBRBBGRGRRBRRGBRRBBGRRGBRRGBBRBGRRRGRGRRRBGBBRGGBRRBBBGRBBGBBRRRGRRGRGRRRBBRGBRRRRRGGGGGBGRRBGRGGBBBBRBBRBBBBBBRRRGBGGRGRGRBBRRBGBRRBBRGBGRBRBRGBRRGBRBGGRGGGGBGGGRBBRGRGGBBGRRGRBGGRBGRBBBRRGGRGGBRRBBRGGRBRBBGRRRGGGBRBRGBRBRBBGGBRGRBBRGGBBBGGBGRRRRRRGGGBR...

output:

impossible

result:

ok single line: 'impossible'

Test #12:

score: 0
Accepted
time: 74ms
memory: 51956kb

input:

200000 400000
GRGBBBRRGGRGBBRBBGBRRRBBRBRGRGRRBBRBRGRBRGGRRGGBRGRRBRBRRBRRGGBBGRBBGRRRBRBGBBRBGBRBBBBBBGBRGRBBGRGBGBBGRGBGBBBBGRGRRRGGGBGGGGRBRBRBRRBGGBGRRGBGGGRRBBBGRBRBGGBBRBBGRGGBGRGBGRRGGBRGGRGRGGBGBRBBBRGGBRRRRBGRBGRRGBRBRGRRBBGGGRRGRGGBRBBBBRGBBGRGGBGGRBGGRBRBBRBBBGRGGGGGBGGRRBBGRGGGRGBRBGGGGR...

output:

200051

result:

ok single line: '200051'

Test #13:

score: 0
Accepted
time: 0ms
memory: 13816kb

input:

10 10
GRBBGBBRRG
2 10 1
2 9 10
2 5 6
2 4 2
2 8 4
2 7 5
2 2 3
2 3 7
2 6 9
1 1

output:

12

result:

ok single line: '12'

Test #14:

score: 0
Accepted
time: 107ms
memory: 39160kb

input:

200000 199999
BRGBBBRBBGGRRGBGRBGBRRGGGBRGGBBGRRRGGBRBBGRBGGBGRGBGBRBGGRBRRGBRBGRBGGGRRGGBGGBBBBBRRGRRRRBGRBGGGBBGGGRGRRGRGRGBGRBBBGGRGRRRRGRGGGGGGGBBBBGRGRGGRBRGRGBBBRRBGRGRGGBGRBRRRRGBBRBBGBGRRRGBRRRBRRGBBBRRBGRBRRBGBGBGGRBBRRGGRRRBBRRGBRGRRGBRRGRRGGRGRRRRGBGRBBRRGRRBRRBBRGBRRBRGGRRBBBRGRGBBGGBRRR...

output:

199855

result:

ok single line: '199855'

Test #15:

score: 0
Accepted
time: 94ms
memory: 39348kb

input:

200000 199999
BRGGGBBBGGRBGGBRGGGBBBBBBBRRGBBBGBBRBGGBGGGBGBBGBBGRBRRGGRRBBGGBRRGBRGBBBGGGRBRRRBRBBBRGBRRBRRGBGBRGBGRGGGGBBRGGRRGBGGBBGBBRBGRRBRBRGGBBRRRGBBGRRBRRBRGGGBBGGRGRGGGBGGGRBRGGRBGGGGBBRBRRBRRGRBBRBGGBBBGRGRBGRRBGGRRRBRBRGGGBGGRBGBBBRGGRRRRBGRGRBGGRBGBBBGBBRRRGGRGBRRRBRGRRRGGGRRRBGRRGGRBRBR...

output:

impossible

result:

ok single line: 'impossible'

Test #16:

score: 0
Accepted
time: 109ms
memory: 38620kb

input:

200000 200000
RRBBBGRBBGRBGBBRRGGBRBBGGBRGRBGBGBBBRBBGGBGRGBBRBRGBGRRGBBBGBGRRRBGRGBBGBBRGBRGBGGBBGBRRRRRRBBRBGGBGGRBBRBBBRBBBRRRGGGGRGBBBRBBGRRBRBBRBBGGRRRGGBRGRRRGRBBRGGGGRBGGBBGGRRRBGBBGBBRGRBRGRBGBRBGBGGGBBGGRBRRGBBRRGRBGBRBRRBBGGBGGRBGRGGGRRGGBGRRBBRBRRGGBRGGRGRBBRRRRBBRBGRBBBRGGGRGRGBGRGRGBRGR...

output:

199859

result:

ok single line: '199859'

Test #17:

score: 0
Accepted
time: 104ms
memory: 39188kb

input:

200000 200000
RRRRBRRGGGGGGRBBBGRRGBBRRBGRRBRRGRRBGGRGBRBGBRGGBRRBBGGGRGRGRGBGRBRGRBBGBRRBRRBGGGRBGBRGBBGGRGBRGGRBGBGGRBGGRGGGGRGGGGRRRGBBGRBRRGBRRBGRBBBRRBGRGRGBBGRRBBRBBGGRBRBGRBGBGBRRGGGBBGGBGRRGRRBGGBBRGGBRGRGBGGGRBBBRGRRGRBGRRGGGRBRGGGGRRGGRGGRBGRGBRBGBBRGBGRGBBBGRRGRGGBBBRBGGRGBRGRBGRRRRBBGRGR...

output:

200292

result:

ok single line: '200292'

Test #18:

score: 0
Accepted
time: 3ms
memory: 11708kb

input:

10 9
BRBRBRGRRB
1 8
1 4
1 6
1 9
1 3
1 7
10 2 5 6 4 1 7 8 9 3 10
1 5
1 2

output:

12

result:

ok single line: '12'

Test #19:

score: 0
Accepted
time: 58ms
memory: 40072kb

input:

200000 199999
BRRGBGBBGRGBGRGRGRBRRGBGBRRGBBBRGBBBRBBRRRGRRRBBRBGGRRGBBBGRRRBBBRBBRRBRRBBBGGGBRRRBRBGRBGRBRGGBGRBRGGGBGRGRGBBBRGGRRRBBBGBGGRRGRBRBBBBRRGBGRBRBGRGBRGRGRBRBGRGBRBRGBBBRGGGGGBRRGBRBBBGBRGRRGBRBGBBRBGGRGRGBBGRGRBGRRGBRGRBGRBBRBGRBRBRRBBBGGGBBGGBGBGGBGBBRRGGGGRBRBGBGBBGRBGRGRBBBBRGRGBBGRG...

output:

200007

result:

ok single line: '200007'

Test #20:

score: 0
Accepted
time: 69ms
memory: 36436kb

input:

200000 199999
RBRGBRGRRGRBGGBGRRRGBGRBRRBGGBRBGBRGRGRRRBBRRRRRRGGBBGRGRGBGRGRBBBRBGRBBGGGRBBRRGBRGGRRGBRGGRBRRRGRGRRRBGRRRBRGBRBBBRGGRGRRGGRBGGRBRRGBGGGBGGBRGBGGBBRRBRRRRGBBBRGBRBGBBGRBRGGBBBBRGRGGBRBRRGGBRGBGBRBGBGBGGBRRGRGGRRGRBRRRBGGBGRBGRGRGGGBRGRGRRBBGRBRGRRGGBGRRBGGGRRRBGRBGRGRBBRGBBGBGRRGRBGG...

output:

impossible

result:

ok single line: 'impossible'

Test #21:

score: 0
Accepted
time: 3ms
memory: 17900kb

input:

10 10
BRBBRGBGRG
2 10 6
2 8 9
2 7 1
2 2 4
2 6 7
2 5 10
2 9 3
2 2 5
2 1 8
2 3 4

output:

impossible

result:

ok single line: 'impossible'

Test #22:

score: 0
Accepted
time: 115ms
memory: 43248kb

input:

200000 200000
RRGBBGRGBGGRBRBRRRBGGBBGGBGRBGBGRRBRRBBGBBGBBGGGGBBGBRRRGBRRBRBGGGRBRRGBGRRGBGGBBGRBRRBGBRGBBBBGGRRRGBGGBBBBRRBBGBBBBGGGRGRGBBBRRGBGRBGRBRGRRRBBRGGRRBBGRRGGGBBBBBRGGRBGBGGGGGGGRGGRRBGGBBBBBRGRRBBBRRGGGBGRGRGGRBGRRBGBBRBGRGBBGRGBBGRGGRGRRRBGGGRRBRGRGGRRGRGBBBGBGBBBBBRGBBBRBGGGGGBRGBBBRG...

output:

impossible

result:

ok single line: 'impossible'

Test #23:

score: 0
Accepted
time: 129ms
memory: 42556kb

input:

200000 200000
RRRGGRBRRBBRBBGBGGGBBBGGBGRRGRGBBGBGBRBRGGGBGRGRGGBGGGRBRRGBGGBRGRBBBBBRGRRRRBRRRBRRRGRGRBBGRGGBGBRRBGRRGRGRBGGRBRBBRRBBBBBBBBGBBBRGBGRRBRGBBBBRGBBBRGBGGRBRRBBRGRGGRRGGRRGGBRGBBGRGGGGRBRGRGGBGRRGGBBBGRGBBBBGBGRBGBBBBBRRRGRGBBBBBBRRBGRRBRRBGGBRRGBBRRBRBRBRBBBGGRBBGRRGRBGRRBGBGRBRBRRRGGR...

output:

impossible

result:

ok single line: 'impossible'

Test #24:

score: 0
Accepted
time: 19ms
memory: 24512kb

input:

60000 50000
BRGGGRGRRGGGGBBBGGBGRGGRGBGBGRGBBBBRGGRBRBGRBRGBGRBBRRRBRRGGRGBBBRGRBRBRBRBBBBGBGRGGBRRGGBGBGBGBGBGGRBRRGRRGBGGGBBRBBGGGRRGRBBBBBGGBBGRBBBGBGGRRRRRGRBGRRRRBGRBRRBBGRRBGRBGRGGGGBBGGRGRBGRRRRRGGRRBRRRBRBRBRBBRGBRGBRRBRGBGBRRGRBRBRRRBBGGRGGRRBGRRBBGGBRRBBBBRRRGBRRBRBRGGBGBGGGGBBGGGRBGRGRGBB...

output:

30280

result:

ok single line: '30280'

Test #25:

score: 0
Accepted
time: 18ms
memory: 20444kb

input:

54937 54937
GGGRGBGRRRRRBGBBRGRBBGBGBRRRBBGGBGGRBBGRBRGBGRBBGGGRBBGGGBRGRGRRRGRRGGGBGGRBRBGBGRGRGRGGGBGRRBRBGBBBGRRRGBRBGGGGGRBGGGRRGRRBBGGGGGBRGBBGGRBGRGRBRGBRRGGRGGBRRBGRBRRBBGGGRBGBRRRRBGBGRRBRGBRRRBRRGGRRGBBGBBGBGRGGRBRGRGRBGBGGRRRRGGGRGGRGRRGBGRBBGBRBGBRGGBBGBGGBRBBGBBBGGRRGGBBBBRRBGRGGRRBGRRRR...

output:

54911

result:

ok single line: '54911'

Test #26:

score: 0
Accepted
time: 46ms
memory: 44452kb

input:

200000 400000
RRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRR...

output:

0

result:

ok single line: '0'

Test #27:

score: 0
Accepted
time: 69ms
memory: 52584kb

input:

200000 400000
GGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGGG...

output:

400000

result:

ok single line: '400000'

Test #28:

score: 0
Accepted
time: 53ms
memory: 52704kb

input:

200000 400000
BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB...

output:

200000

result:

ok single line: '200000'

Test #29:

score: 0
Accepted
time: 45ms
memory: 23964kb

input:

200000 10
BBBRBBBRRGRBRRRRBGBRBRRRGBBBRGRGGGGRGBGGGGRGRBBGGRGBBBRRRBBRBGGRRGBBRRRRGRRBGGRBBGBBBGBGGRGRGGGRRGGRRBRBGGRBBRBRRGRRRGGRGBBRRBGRGRBRRRGRBRRGRGBBRGGBBBRBBRRBGBGRBGGBBGGBBGRBGGBBGBRRRGBRBGRGBBBRBRBRBBRRRGBGBRRGRRRBGBGGGRGBGGGGRBGBBBRRGRGBRGRGRRGRGRBGBGGBGGGBRGRBBBBRBRBRBBGGBRRRGBGBGRRRGBBRRG...

output:

impossible

result:

ok single line: 'impossible'

Extra Test:

score: 0
Extra Test Passed