QOJ.ac

QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#125088#6353. Kth Lex Min Min Min Subpalindromestiom4egAC ✓987ms73400kbC++205.6kb2023-07-16 01:07:202023-07-16 01:07:21

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.
  • [2023-07-16 01:07:21]
  • 评测
  • 测评结果:AC
  • 用时:987ms
  • 内存:73400kb
  • [2023-07-16 01:07:20]
  • 提交

answer

#include <bits/stdc++.h>
// tiom4eg's precompiler options
// POGGERS POGGERS POGGERS POGGERS POGGERS POGGERS POGGERS
// IO settings
#define fastIO ios_base::sync_with_stdio(false); cin.tie(0)
// Quick types
#define ll long long
#define ld long double
#define ull unsigned long long
#define pii pair <int, int>
#define vi vector <int>
#define mi vector <vector <int>>
// Quick functions
#define endl '\n'
#define F first
#define S second
#define all(a) a.begin(), a.end()
#define sz(a) (int)(a.size())
#define pb push_back
#define mp make_pair
// Quick fors
#define FOR(i, a, b) for (int i = a; i < b; ++i)
#define FORS(i, a, b, c) for (int i = a; i < b; i += c)
#define RFOR(i, a, b) for (int i = a; i >= b; --i)
#define EACH(e, a) for (auto& e : a)
// Pragmas
#ifndef TIOM4EG
#pragma GCC optimize("O3,unroll-loops") // let the chaos begin!
#pragma GCC target("avx,avx2,popcnt,tune=native")
#pragma GCC comment(linker, "/stack:200000000")
#endif
// PBDS
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#define pbds tree <int, null_type, less <int>, rb_tree_tag, tree_order_statistics_node_update>
using namespace __gnu_pbds;
// POGGERS POGGERS POGGERS POGGERS POGGERS POGGERS POGGERS
using namespace std;
mt19937 rng(chrono::duration_cast<chrono::milliseconds>(chrono::system_clock::now().time_since_epoch()).count());
#define int long long
constexpr int INF = 0x3f3f3f3f, MD = 998244353, MAX = 300030, LG = 19, MOD = 1e9 + 7, B = 40, P = 31, R = 1 << LG;
const ll INFLL = 1e18 + 7, MOD2 = MOD * MOD;

const string Z[] = {"112122", "112212", "121122", "121221", "122112", "122121", "211212", "211221", "212112", "212211", "221121", "221211"};

int count_pals(string s) {
    int n = sz(s);
    vector<int> d1(n);
    int l=0, r=-1;
    for (int i=0; i<n; ++i) {
        int k = i>r ? 1 : min (d1[l+r-i], r-i+1);
        while (i+k < n && i-k >= 0 && s[i+k] == s[i-k])  ++k;
        d1[i] = k;
        if (i+k-1 > r) l = i-k+1,  r = i+k-1;
    }
    vector<int> d2(n);
    l=0, r=-1;
    for (int i=0; i<n; ++i) {
        int k = i>r ? 0 : min (d2[l+r-i+1], r-i+1);
        while (i+k < n && i-k-1 >= 0 && s[i+k] == s[i-k-1])  ++k;
        d2[i] = k;
        if (i+k-1 > r) l = i-k,  r = i+k-1;
    }
    int o = 0; FOR(i, 0, n) o += d1[i] + d2[i];
    return o;
}

int n, m, k;
vector <string> lol;

void rec(string s, int p) {
    if (p == n) return void(lol.pb(s));
    rec(s + '1', p + 1), rec(s + '2', p + 1);
}

signed main() {
    fastIO;
    cin >> n >> m >> k;
    // n = 1
    if (n == 1) {
        if (k > m) cout << -1;
        else cout << k;
        return 0;
    }
    // m = 1
    if (m == 1) {
        if (k == 1) FOR(i, 0, n) cout << "1 ";
        else cout << -1;
        return 0;
    }
    if (m == 3) {
        if (k > 6) cout << -1;
        else {
            if (k == 1) FOR(i, 0, n) cout << "123"[i % 3] << ' ';
            if (k == 2) FOR(i, 0, n) cout << "132"[i % 3] << ' ';
            if (k == 3) FOR(i, 0, n) cout << "213"[i % 3] << ' ';
            if (k == 4) FOR(i, 0, n) cout << "231"[i % 3] << ' ';
            if (k == 5) FOR(i, 0, n) cout << "312"[i % 3] << ' ';
            if (k == 6) FOR(i, 0, n) cout << "321"[i % 3] << ' ';
        }
        return 0;
    }
    if (m == 2) {
        if (n > 12) {
            if (k > 12) return !(cout << -1);
            FOR(i, 0, n) cout << Z[k - 1][i % 6] << ' ';
        }
        else {
            rec("", 0);
            int mnp = INF;
            EACH(s, lol) mnp = min(mnp, count_pals(s));
            int c = 0;
            EACH(s, lol) {
                if (count_pals(s) == mnp) {
                    if (++c == k) {
                        EACH(c, s) cout << c << ' ';
                        return 0;
                    }
                }
            }
            cout << -1;
        }
        return 0;
    }
    // m >= 4
    // check if poss
    __int128 tot = m * (m - 1);
    FOR(i, 2, n) {
        if (k <= tot) break;
        tot *= m - 2;
    }
    if (k > tot) return !(cout << -1);
    //
    vi ans(n), deg;
    // obtain degs of m-2
    deg.pb(1);
    __int128 cur = m - 2;
    while (cur <= k) {
        deg.pb(cur);
        cur *= m - 2;
    }
    k -= 1;
    // 1st elem
    if (n - 2 >= sz(deg)) ans[0] = 1;
    else {
        __int128 cur = deg[n - 2];
        cur *= m - 1;
        if (cur > k) ans[0] = 1;
        else {
            int d = k / cur;
            ans[0] = d + 1, k -= d * cur;
        }
    }
    pbds cum;
    FOR(i, 1, m + 1) cum.insert(i);
    cum.erase(ans[0]);
    // 2nd elem
    if (n - 2 >= sz(deg)) {
        auto it = cum.begin();
        ans[1] = *it, cum.erase(it);
    }
    else {
        __int128 cur = deg[n - 2];
        if (cur > k) {
            auto it = cum.begin();
            ans[1] = *it, cum.erase(it);
        }
        else {
            int d = k / cur;
            auto it = cum.find_by_order(d);
            ans[1] = *it, k -= d * cur, cum.erase(it);
        }
    }
    // other
    FOR(i, 2, n) {
        if (n - i - 1 >= sz(deg)) {
            auto it = cum.begin();
            ans[i] = *it, cum.erase(it);
        }
        else {
            __int128 cur = deg[n - i - 1];
            if (cur > k) {
                auto it = cum.begin();
                ans[i] = *it, cum.erase(it);
            }
            else {
                int d = k / cur;
                auto it = cum.find_by_order(d);
                ans[i] = *it, k -= d * cur, cum.erase(it);
            }
        }
        cum.insert(ans[i - 2]);
    }
    EACH(e, ans) cout << e << ' ';
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 1ms
memory: 3524kb

input:

1 1 1

output:

1

result:

ok 1 number(s): "1"

Test #2:

score: 0
Accepted
time: 0ms
memory: 3532kb

input:

2 2 2

output:

2 1 

result:

ok 2 number(s): "2 1"

Test #3:

score: 0
Accepted
time: 1ms
memory: 3528kb

input:

3 3 3

output:

2 1 3 

result:

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

Test #4:

score: 0
Accepted
time: 1ms
memory: 3428kb

input:

9 9 8244353

output:

2 4 1 2 6 8 1 2 7 

result:

ok 9 numbers

Test #5:

score: 0
Accepted
time: 1ms
memory: 3488kb

input:

10 7 998244353

output:

-1

result:

ok 1 number(s): "-1"

Test #6:

score: 0
Accepted
time: 1ms
memory: 3480kb

input:

3 1000 994253860

output:

998 244 353 

result:

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

Test #7:

score: 0
Accepted
time: 1ms
memory: 3492kb

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: 3484kb

input:

58 4 864691128455135233

output:

-1

result:

ok 1 number(s): "-1"

Test #9:

score: 0
Accepted
time: 987ms
memory: 73400kb

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: 63ms
memory: 11040kb

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: 1ms
memory: 3552kb

input:

1 1 2

output:

-1

result:

ok 1 number(s): "-1"

Test #12:

score: 0
Accepted
time: 1ms
memory: 3480kb

input:

1 2 2

output:

2

result:

ok 1 number(s): "2"

Test #13:

score: 0
Accepted
time: 0ms
memory: 3532kb

input:

2 2 1

output:

1 2 

result:

ok 2 number(s): "1 2"

Test #14:

score: 0
Accepted
time: 1ms
memory: 3488kb

input:

3 2 4

output:

2 1 1 

result:

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

Test #15:

score: 0
Accepted
time: 1ms
memory: 3560kb

input:

3 2 7

output:

-1

result:

ok 1 number(s): "-1"

Test #16:

score: 0
Accepted
time: 1ms
memory: 3536kb

input:

4 2 10

output:

2 2 1 2 

result:

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

Test #17:

score: 0
Accepted
time: 1ms
memory: 3412kb

input:

4 2 3

output:

1 2 1 1 

result:

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

Test #18:

score: 0
Accepted
time: 1ms
memory: 3432kb

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: 0ms
memory: 3536kb

input:

5 2 13

output:

-1

result:

ok 1 number(s): "-1"

Test #20:

score: 0
Accepted
time: 1ms
memory: 3472kb

input:

6 2 5

output:

1 2 2 1 1 2 

result:

ok 6 numbers

Test #21:

score: 0
Accepted
time: 30ms
memory: 3536kb

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: 19ms
memory: 3496kb

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: 24ms
memory: 3436kb

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: 1ms
memory: 3484kb

input:

1000000 2 1000000000000000000

output:

-1

result:

ok 1 number(s): "-1"

Test #25:

score: 0
Accepted
time: 1ms
memory: 3424kb

input:

1 3 2

output:

2

result:

ok 1 number(s): "2"

Test #26:

score: 0
Accepted
time: 0ms
memory: 3488kb

input:

2 3 5

output:

3 1 

result:

ok 2 number(s): "3 1"

Test #27:

score: 0
Accepted
time: 29ms
memory: 3484kb

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: 0ms
memory: 3556kb

input:

1000000 3 7

output:

-1

result:

ok 1 number(s): "-1"

Test #29:

score: 0
Accepted
time: 58ms
memory: 10852kb

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: 67ms
memory: 10832kb

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: 320ms
memory: 18660kb

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: 611ms
memory: 65988kb

input:

6 1000000 1000000000000000000

output:

1 2 4 9 15 8 

result:

ok 6 numbers

Test #33:

score: 0
Accepted
time: 734ms
memory: 66032kb

input:

4 1000000 1000000000000000000

output:

2 7 15 9 

result:

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

Test #34:

score: 0
Accepted
time: 429ms
memory: 65928kb

input:

3 1000000 999997000002000000

output:

1000000 999999 999998 

result:

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

Test #35:

score: 0
Accepted
time: 1ms
memory: 3412kb

input:

3 1000000 999997000002000001

output:

-1

result:

ok 1 number(s): "-1"