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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#385675 | #7766. 栞 | valeriu | 100 ✓ | 81ms | 12252kb | C++20 | 3.5kb | 2024-04-10 23:01:44 | 2024-04-10 23:01:44 |
Judging History
answer
#include <bits/stdc++.h>
#define all(x) (x).begin(),(x).end()
using namespace std;
using ll = long long;
using ld = long double;
//#define int ll
#define sz(x) ((int)(x).size())
using pii = pair<int,int>;
using tii = tuple<int,int,int>;
const int mod = 998244353;
struct Mint {
int val;
Mint(ll x = 0): val((x % mod + mod) % mod) {;}
Mint operator +(const Mint& x) { return Mint(val + x.val); }
Mint operator -(const Mint& x) { return Mint(val - x.val); }
Mint operator *(const Mint& x) { return Mint((ll)val * x.val); }
Mint operator +=(const Mint& x) { return *this = Mint(val + x.val); }
Mint operator -=(const Mint& x) { return *this = Mint(val - x.val); }
Mint operator *=(const Mint& x) { return *this = Mint((ll)val * x.val); }
Mint operator ^(const int& _b) const {
Mint accum = 1, a = *this;
int b = _b;
while(b) {
accum = (b & 1? accum * a : accum);
a *= a;
b >>= 1;
}
return accum;
}
Mint operator /(const Mint& x) { return Mint((ll)val * (x ^ (mod - 2)).val); }
Mint operator /=(const Mint& x) { return *this = Mint((ll)val * (x ^ (mod - 2)).val); }
};
const int nmax = 1e3 + 5;
int disconcerting[nmax][nmax];
Mint dp[nmax][nmax];
bool vizited[nmax][nmax];
Mint fact[nmax];
Mint imperfect[nmax];
int n;
vector<int> v;
Mint recurr(int suff, int k) { // e enervanta asimetria asta
if(suff == n + 1) {
if(k == 0) return 1;
return 0;
}
if(vizited[suff][k]) return dp[suff][k];
if(n - suff + 1 == k) return 1;
vizited[suff][k] = 1;
//if(suff == 4 && k == 2) cerr << disconcerting[suff][v[suff]] << '\n';
if(disconcerting[suff][v[suff]]) { // il aduceai mai devreme daca puteai, deci era in sufixul prost; ai largit sufixul, a intrat in prefix bun (de unde ""poti"" sa muti elemente); daca nu il muti, ramane ceva din ochelari "mai mare" decat maximul anterior. Deci mai bine il muti
// e si unic!! (?)
dp[suff][k] = fact[n - suff + 1 - k];
for(int i = suff + 1; i <= n - k + 1; i++)
dp[suff][k] *= Mint(1 - disconcerting[suff][v[i]]);
for(int i = suff + 1; i <= n - k + 1; i++)
if(v[i] < v[i - 1]) return dp[suff][k] = 0;
return dp[suff][k];
}
if(k == 1) {
for(int i = suff + 1; i <= n; i++) {
if(v[i] < v[i - 1]) return dp[suff][k] = 0;
}
return dp[suff][k] = fact[n - suff + 1];
}
if(!(*max_element(v.begin(), v.begin() + suff) == suff - 1)) return dp[suff][k] = 0;
int lst = -1;
for(int i = suff; i <= n - k + 1; i++) {
if(v[i] < lst) break;
lst = v[i];
dp[suff][k] += recurr(i + 1, k - 1) * imperfect[i - suff + 1];
}
return dp[suff][k];
}
signed main() {
cin.tie(0) -> sync_with_stdio(0);
int k;
cin >> n;
cin >> k;
v = vector<int>(n + 1, 0);
for(auto &x : v | views::drop(1)) cin >> x;
fact[0] = 1;
for(int i = 1; i <= n; i++) {
fact[i] = fact[i - 1] * i;
imperfect[i] = fact[i];
for(int dim = 1; dim < i; dim++)
imperfect[i] -= imperfect[dim] * fact[i - dim];
//cerr << imperfect[i].val << ' ';
int mx = *max_element(v.begin(), v.begin() + i);
for(int j = i; j <= n; j++)
disconcerting[i][v[j]] = v[j] <= mx;
}
//imperfect[1] = 0;
cout << recurr(1, k).val << '\n';
}
/**
Anul asta nu se da centroid
-- Rugaciunile mele
*/
Details
Tip: Click on the bar to expand more detailed information
Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 0ms
memory: 9828kb
input:
6 1 1 2 3 4 5 6
output:
720
result:
ok 1 number(s): "720"
Test #2:
score: 0
Accepted
time: 1ms
memory: 9764kb
input:
6 3 1 2 5 3 4 6
output:
0
result:
ok 1 number(s): "0"
Test #3:
score: 0
Accepted
time: 1ms
memory: 8276kb
input:
6 3 1 2 4 3 6 5
output:
3
result:
ok 1 number(s): "3"
Test #4:
score: 0
Accepted
time: 1ms
memory: 7868kb
input:
6 5 1 2 3 5 4 6
output:
4
result:
ok 1 number(s): "4"
Test #5:
score: 0
Accepted
time: 1ms
memory: 8024kb
input:
6 5 1 2 3 5 4 6
output:
4
result:
ok 1 number(s): "4"
Test #6:
score: 0
Accepted
time: 1ms
memory: 8356kb
input:
6 4 1 3 2 4 6 5
output:
3
result:
ok 1 number(s): "3"
Test #7:
score: 0
Accepted
time: 0ms
memory: 9880kb
input:
6 5 1 3 2 5 4 6
output:
2
result:
ok 1 number(s): "2"
Test #8:
score: 0
Accepted
time: 0ms
memory: 7752kb
input:
6 3 1 2 3 6 5 4
output:
13
result:
ok 1 number(s): "13"
Test #9:
score: 0
Accepted
time: 0ms
memory: 7884kb
input:
6 4 1 2 5 4 3 6
output:
3
result:
ok 1 number(s): "3"
Test #10:
score: 0
Accepted
time: 0ms
memory: 7720kb
input:
6 3 1 2 5 4 3 6
output:
0
result:
ok 1 number(s): "0"
Subtask #2:
score: 20
Accepted
Dependency #1:
100%
Accepted
Test #11:
score: 20
Accepted
time: 0ms
memory: 9880kb
input:
9 9 1 2 3 4 5 6 7 8 9
output:
1
result:
ok 1 number(s): "1"
Test #12:
score: 0
Accepted
time: 1ms
memory: 9888kb
input:
9 3 1 2 3 4 5 6 9 7 8
output:
3447
result:
ok 1 number(s): "3447"
Test #13:
score: 0
Accepted
time: 0ms
memory: 8020kb
input:
9 7 1 3 2 4 6 5 7 8 9
output:
3
result:
ok 1 number(s): "3"
Test #14:
score: 0
Accepted
time: 1ms
memory: 9852kb
input:
9 5 1 2 3 4 5 6 7 9 8
output:
531
result:
ok 1 number(s): "531"
Test #15:
score: 0
Accepted
time: 0ms
memory: 8256kb
input:
9 9 1 4 3 2 5 6 7 8 9
output:
1
result:
ok 1 number(s): "1"
Test #16:
score: 0
Accepted
time: 1ms
memory: 8156kb
input:
9 2 1 2 3 4 5 6 7 9 8
output:
29093
result:
ok 1 number(s): "29093"
Test #17:
score: 0
Accepted
time: 1ms
memory: 9780kb
input:
9 4 1 2 3 4 5 6 7 9 8
output:
2109
result:
ok 1 number(s): "2109"
Test #18:
score: 0
Accepted
time: 0ms
memory: 8588kb
input:
9 8 1 2 3 5 4 7 6 8 9
output:
4
result:
ok 1 number(s): "4"
Test #19:
score: 0
Accepted
time: 1ms
memory: 8096kb
input:
9 7 1 2 3 4 5 7 6 9 8
output:
23
result:
ok 1 number(s): "23"
Test #20:
score: 0
Accepted
time: 1ms
memory: 9896kb
input:
9 7 1 2 3 4 5 7 6 9 8
output:
23
result:
ok 1 number(s): "23"
Subtask #3:
score: 30
Accepted
Test #21:
score: 30
Accepted
time: 32ms
memory: 10504kb
input:
500 369 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...
output:
151242732
result:
ok 1 number(s): "151242732"
Test #22:
score: 0
Accepted
time: 69ms
memory: 10728kb
input:
500 261 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...
output:
175105582
result:
ok 1 number(s): "175105582"
Test #23:
score: 0
Accepted
time: 61ms
memory: 12176kb
input:
500 79 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1...
output:
328555836
result:
ok 1 number(s): "328555836"
Test #24:
score: 0
Accepted
time: 50ms
memory: 10712kb
input:
500 306 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...
output:
738246233
result:
ok 1 number(s): "738246233"
Test #25:
score: 0
Accepted
time: 56ms
memory: 11136kb
input:
500 291 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...
output:
90157368
result:
ok 1 number(s): "90157368"
Test #26:
score: 0
Accepted
time: 66ms
memory: 12172kb
input:
500 268 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...
output:
582110163
result:
ok 1 number(s): "582110163"
Test #27:
score: 0
Accepted
time: 55ms
memory: 11352kb
input:
500 295 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...
output:
551109392
result:
ok 1 number(s): "551109392"
Test #28:
score: 0
Accepted
time: 76ms
memory: 12200kb
input:
500 137 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...
output:
709320534
result:
ok 1 number(s): "709320534"
Test #29:
score: 0
Accepted
time: 54ms
memory: 11124kb
input:
500 66 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 1...
output:
735053639
result:
ok 1 number(s): "735053639"
Test #30:
score: 0
Accepted
time: 75ms
memory: 10336kb
input:
500 233 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...
output:
676167049
result:
ok 1 number(s): "676167049"
Subtask #4:
score: 40
Accepted
Dependency #1:
100%
Accepted
Dependency #2:
100%
Accepted
Dependency #3:
100%
Accepted
Test #31:
score: 40
Accepted
time: 81ms
memory: 10916kb
input:
500 198 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...
output:
830163792
result:
ok 1 number(s): "830163792"
Test #32:
score: 0
Accepted
time: 3ms
memory: 10832kb
input:
500 432 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 80 78 79 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...
output:
409343845
result:
ok 1 number(s): "409343845"
Test #33:
score: 0
Accepted
time: 41ms
memory: 12192kb
input:
500 265 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...
output:
194041644
result:
ok 1 number(s): "194041644"
Test #34:
score: 0
Accepted
time: 73ms
memory: 10976kb
input:
500 173 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...
output:
526227080
result:
ok 1 number(s): "526227080"
Test #35:
score: 0
Accepted
time: 4ms
memory: 11276kb
input:
500 483 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...
output:
614441401
result:
ok 1 number(s): "614441401"
Test #36:
score: 0
Accepted
time: 43ms
memory: 12252kb
input:
500 243 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...
output:
284882224
result:
ok 1 number(s): "284882224"
Test #37:
score: 0
Accepted
time: 30ms
memory: 12108kb
input:
500 282 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...
output:
308933889
result:
ok 1 number(s): "308933889"
Test #38:
score: 0
Accepted
time: 28ms
memory: 10736kb
input:
500 231 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...
output:
131213230
result:
ok 1 number(s): "131213230"
Test #39:
score: 0
Accepted
time: 0ms
memory: 10968kb
input:
500 415 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 100 99 ...
output:
590026968
result:
ok 1 number(s): "590026968"
Test #40:
score: 0
Accepted
time: 9ms
memory: 11980kb
input:
500 344 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 ...
output:
124432123
result:
ok 1 number(s): "124432123"