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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#100877#6353. Kth Lex Min Min Min SubpalindromesSolitaryDream#AC ✓87ms21232kbC++202.6kb2023-04-28 15:45:502023-04-28 15:45:53

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-04-28 15:45:53]
  • 评测
  • 测评结果:AC
  • 用时:87ms
  • 内存:21232kb
  • [2023-04-28 15:45:50]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
#define int long long
const int N = 1e6 + 10;
const int BND = 1.1e18;
int n, m, k, a[N];
int pwm2[N];
inline int Mul(int x, int y) {
    __int128 tmp = x;
    tmp *= y;
    if (tmp > BND) tmp = BND;
    return tmp;
}
inline int Updiv(int x, int y) {
    return (x + y - 1) / y;
}
int tmpk;
int b[N];
int ans = 1e9;
vector<vector<int>> f;
inline void Dfs(int x) {
    if (x == n + 1) {
        int cnt = 0;
        for (int i = 1; i <= n; ++i) {
            for (int j = i; j <= n; ++j) {
                vector<int> c(b + i, b + j + 1);
                vector<int> d = c;
                reverse(d.begin(), d.end());
                if (c == d) ++cnt;
            }
        } 
        if (cnt < ans) { 
            ans = cnt;
            f.clear();
        }
        if (cnt == ans) {
            f.push_back(vector<int>(b + 1, b + n + 1));
        }
        return;
    }
    for (b[x] = 1; b[x] <= m; ++b[x]) Dfs(x + 1);
}
signed main() {
    scanf("%lld%lld%lld", &n, &m, &k);
    tmpk = k;
    if (n == 1) {
        printf("%lld\n", k <= m ? k : -1ll);
        return 0;
    }
    if (m == 1) {
        if (k == 1) {
            for (int i = 1; i <= n; ++i) printf("1 ");
            puts("");
        } else {
            puts("-1");
        }
        return 0;
    }
    if (m == 2) {
        if (n <= 6) {
            Dfs(1);
            if (k > f.size()) return puts("-1"), 0;
            for (auto x : f[k - 1]) cout << x << ' ';
            cout << endl;
        } else {
            int tmpn = n;
            n = 6;
            Dfs(1);
            if (k > f.size()) return puts("-1"), 0;
            for (int i = 0; i < tmpn; ++i) {
                printf("%lld ", f[k - 1][i % 6]);
            }
            puts("");
        }
        return 0;
    }
    pwm2[0] = 1;
    for (int i = 1; i <= n; ++i) pwm2[i] = Mul(pwm2[i - 1], m - 2);
    int all = Mul(pwm2[n - 2], m * (m - 1));
    if (all < k) return puts("-1"), 0;
    for (int i = 1; i <= n; ++i) {
        int oth = (i == 1 ? Mul(pwm2[n - i - 1], m - 1) : pwm2[n - i]);
        int cho = Updiv(k, oth);
        k -= oth * (cho - 1);
        int u = (i > 1 ? a[i - 1] : m + 1), v = (i > 2 ? a[i - 2] : m + 1);
        if (u > v) swap(u, v);
        if (cho >= u) ++cho;
        if (cho >= v) ++cho;
        a[i] = cho;
        assert(cho <= m);
    }
    assert(k == 1);
    for (int i = 1; i <= n; ++i) printf("%lld ", a[i]);
    puts("");

    // Dfs(1, m + 1, m + 1);
    // puts("-1");
    return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 2ms
memory: 5584kb

input:

1 1 1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 2ms
memory: 5536kb

input:

2 2 2

output:

2 1 

result:

ok 2 number(s): "2 1"

Test #3:

score: 0
Accepted
time: 0ms
memory: 7676kb

input:

3 3 3

output:

2 1 3 

result:

ok 3 number(s): "2 1 3"

Test #4:

score: 0
Accepted
time: 3ms
memory: 7636kb

input:

9 9 8244353

output:

2 4 1 2 6 8 1 2 7 

result:

ok 9 numbers

Test #5:

score: 0
Accepted
time: 3ms
memory: 5440kb

input:

10 7 998244353

output:

-1

result:

ok 1 number(s): "-1"

Test #6:

score: 0
Accepted
time: 1ms
memory: 7664kb

input:

3 1000 994253860

output:

998 244 353 

result:

ok 3 number(s): "998 244 353"

Test #7:

score: 0
Accepted
time: 3ms
memory: 7676kb

input:

58 4 864691128455135232

output:

4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 3 2 4 

result:

ok 58 numbers

Test #8:

score: 0
Accepted
time: 1ms
memory: 5452kb

input:

58 4 864691128455135233

output:

-1

result:

ok 1 number(s): "-1"

Test #9:

score: 0
Accepted
time: 87ms
memory: 20992kb

input:

1000000 1000000 1000000000000000000

output:

1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 ...

result:

ok 1000000 numbers

Test #10:

score: 0
Accepted
time: 86ms
memory: 20676kb

input:

1000000 4 1000000000000000000

output:

1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 ...

result:

ok 1000000 numbers

Test #11:

score: 0
Accepted
time: 0ms
memory: 5632kb

input:

1 1 2

output:

-1

result:

ok 1 number(s): "-1"

Test #12:

score: 0
Accepted
time: 2ms
memory: 5628kb

input:

1 2 2

output:

2

result:

ok 1 number(s): "2"

Test #13:

score: 0
Accepted
time: 0ms
memory: 5452kb

input:

2 2 1

output:

1 2 

result:

ok 2 number(s): "1 2"

Test #14:

score: 0
Accepted
time: 2ms
memory: 5444kb

input:

3 2 4

output:

2 1 1 

result:

ok 3 number(s): "2 1 1"

Test #15:

score: 0
Accepted
time: 0ms
memory: 5540kb

input:

3 2 7

output:

-1

result:

ok 1 number(s): "-1"

Test #16:

score: 0
Accepted
time: 2ms
memory: 5500kb

input:

4 2 10

output:

2 2 1 2 

result:

ok 4 number(s): "2 2 1 2"

Test #17:

score: 0
Accepted
time: 2ms
memory: 5428kb

input:

4 2 3

output:

1 2 1 1 

result:

ok 4 number(s): "1 2 1 1"

Test #18:

score: 0
Accepted
time: 2ms
memory: 5440kb

input:

5 2 7

output:

2 1 1 2 1 

result:

ok 5 number(s): "2 1 1 2 1"

Test #19:

score: 0
Accepted
time: 1ms
memory: 5448kb

input:

5 2 13

output:

-1

result:

ok 1 number(s): "-1"

Test #20:

score: 0
Accepted
time: 2ms
memory: 5544kb

input:

6 2 5

output:

1 2 2 1 1 2 

result:

ok 6 numbers

Test #21:

score: 0
Accepted
time: 76ms
memory: 5668kb

input:

1000000 2 3

output:

1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 1 2 1 1 2 2 ...

result:

ok 1000000 numbers

Test #22:

score: 0
Accepted
time: 64ms
memory: 5572kb

input:

1000000 2 5

output:

1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 ...

result:

ok 1000000 numbers

Test #23:

score: 0
Accepted
time: 61ms
memory: 5588kb

input:

1000000 2 7

output:

2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 2 1 1 2 1 2 ...

result:

ok 1000000 numbers

Test #24:

score: 0
Accepted
time: 3ms
memory: 5524kb

input:

1000000 2 1000000000000000000

output:

-1

result:

ok 1 number(s): "-1"

Test #25:

score: 0
Accepted
time: 1ms
memory: 5632kb

input:

1 3 2

output:

2

result:

ok 1 number(s): "2"

Test #26:

score: 0
Accepted
time: 1ms
memory: 7636kb

input:

2 3 5

output:

3 1 

result:

ok 2 number(s): "3 1"

Test #27:

score: 0
Accepted
time: 80ms
memory: 20368kb

input:

1000000 3 5

output:

3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 ...

result:

ok 1000000 numbers

Test #28:

score: 0
Accepted
time: 1ms
memory: 13628kb

input:

1000000 3 7

output:

-1

result:

ok 1 number(s): "-1"

Test #29:

score: 0
Accepted
time: 73ms
memory: 21232kb

input:

1000000 4 211106232532991

output:

1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 ...

result:

ok 1000000 numbers

Test #30:

score: 0
Accepted
time: 72ms
memory: 19972kb

input:

1000000 5 1000000000000000000

output:

1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 ...

result:

ok 1000000 numbers

Test #31:

score: 0
Accepted
time: 73ms
memory: 20120kb

input:

1000000 123123 1000000000000000000

output:

1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 1 2 3 ...

result:

ok 1000000 numbers

Test #32:

score: 0
Accepted
time: 3ms
memory: 7632kb

input:

6 1000000 1000000000000000000

output:

1 2 4 9 15 8 

result:

ok 6 numbers

Test #33:

score: 0
Accepted
time: 0ms
memory: 7628kb

input:

4 1000000 1000000000000000000

output:

2 7 15 9 

result:

ok 4 number(s): "2 7 15 9"

Test #34:

score: 0
Accepted
time: 0ms
memory: 7680kb

input:

3 1000000 999997000002000000

output:

1000000 999999 999998 

result:

ok 3 number(s): "1000000 999999 999998"

Test #35:

score: 0
Accepted
time: 2ms
memory: 5440kb

input:

3 1000000 999997000002000001

output:

-1

result:

ok 1 number(s): "-1"