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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#410906 | #7766. 栞 | chenxinyang2006 | 100 ✓ | 88ms | 5944kb | C++20 | 4.4kb | 2024-05-14 16:49:40 | 2024-05-14 16:49:42 |
Judging History
answer
#include <bits/stdc++.h>
#define rep(i,j,k) for(int i=(j);i<=(k);i++)
#define per(i,j,k) for(int i=(j);i>=(k);i--)
#define uint unsigned int
#define ll long long
#define ull unsigned long long
#define db double
#define ldb long double
#define pii pair<int,int>
#define pll pair<ll,ll>
#define mkp make_pair
#define eb emplace_back
#define SZ(S) (int)S.size()
#define mod 998244353
//#define mod 1000000007
#define inf 0x3f3f3f3f
#define linf 0x3f3f3f3f3f3f3f3f
using namespace std;
template <class T>
void chkmax(T &x,T y){
if(x < y) x = y;
}
template <class T>
void chkmin(T &x,T y){
if(x > y) x = y;
}
inline int popcnt(int x){
return __builtin_popcount(x);
}
inline int ctz(int x){
return __builtin_ctz(x);
}
template <int P>
class mod_int
{
using Z = mod_int;
private:
static int mo(int x) { return x < 0 ? x + P : x; }
public:
int x;
int val() const { return x; }
mod_int() : x(0) {}
template <class T>
mod_int(const T &x_) : x(x_ >= 0 && x_ < P ? static_cast<int>(x_) : mo(static_cast<int>(x_ % P))) {}
bool operator==(const Z &rhs) const { return x == rhs.x; }
bool operator!=(const Z &rhs) const { return x != rhs.x; }
Z operator-() const { return Z(x ? P - x : 0); }
Z pow(long long k) const
{
Z res = 1, t = *this;
while (k)
{
if (k & 1)
res *= t;
if (k >>= 1)
t *= t;
}
return res;
}
Z &operator++()
{
x < P - 1 ? ++x : x = 0;
return *this;
}
Z &operator--()
{
x ? --x : x = P - 1;
return *this;
}
Z operator++(int)
{
Z ret = x;
x < P - 1 ? ++x : x = 0;
return ret;
}
Z operator--(int)
{
Z ret = x;
x ? --x : x = P - 1;
return ret;
}
Z inv() const { return pow(P - 2); }
Z &operator+=(const Z &rhs)
{
(x += rhs.x) >= P && (x -= P);
return *this;
}
Z &operator-=(const Z &rhs)
{
(x -= rhs.x) < 0 && (x += P);
return *this;
}
Z operator-()
{
return -x;
}
Z &operator*=(const Z &rhs)
{
x = 1ULL * x * rhs.x % P;
return *this;
}
Z &operator/=(const Z &rhs) { return *this *= rhs.inv(); }
#define setO(T, o) \
friend T operator o(const Z &lhs, const Z &rhs) \
{ \
Z res = lhs; \
return res o## = rhs; \
}
setO(Z, +) setO(Z, -) setO(Z, *) setO(Z, /)
#undef setO
friend istream& operator>>(istream& is, mod_int& x)
{
long long tmp;
is >> tmp;
x = tmp;
return is;
}
friend ostream& operator<<(ostream& os, const mod_int& x)
{
os << x.val();
return os;
}
};
using Z = mod_int<mod>;
Z power(Z p,ll k){
Z ans = 1;
while(k){
if(k % 2 == 1) ans *= p;
p *= p;
k /= 2;
}
return ans;
}
int n,K;
int q[505];
Z dp[505][505],fact[505],C[505][505];
Z calc(int m,int s){//长为 m 的排列,可被划分为 s 个段
Z answer = 0;
rep(i,s,n){
if(i % 2 == s % 2) answer += C[i - 1][s - 1] * dp[i][m];
else answer -= C[i - 1][s - 1] * dp[i][m];
}
// printf("calc %d %d :%d\n",m,s,answer.val());
return answer;
}
int main(){
// freopen("test.in","r",stdin);
scanf("%d%d",&n,&K);
rep(i,1,n) scanf("%d",&q[i]);
fact[0] = 1;
rep(i,1,n) fact[i] = fact[i - 1] * i;
rep(i,0,n){
C[i][0] = 1;
rep(j,1,i) C[i][j] = C[i - 1][j - 1] + C[i - 1][j];
}
dp[0][0] = 1;
rep(i,1,n){
rep(j,0,n){
rep(k,1,n - j) dp[i][j + k] += dp[i - 1][j] * fact[k];
}
}
int u = n + 1;
rep(i,1,n){
if(q[i] > q[i + 1]){
u = i;
break;
}
}
if(u == n){
Z output = 0;
rep(i,K,n) output += calc(n,i);
printf("%d\n",output.val());
return 0;
}
Z output = 0;
rep(i,u + 1,n){
if(i > u + 1 && q[i] < q[u]) break;
if(i > u + 2 && q[i] < q[i - 1]) break;
output += calc(u,i - 1 - (n - K + 1) + 1) * fact[i - 1 - u];
}
printf("%d\n",output.val());
return 0;
}
詳細信息
Subtask #1:
score: 10
Accepted
Test #1:
score: 10
Accepted
time: 1ms
memory: 5808kb
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: 5872kb
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: 5724kb
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: 5860kb
input:
6 5 1 2 3 5 4 6
output:
4
result:
ok 1 number(s): "4"
Test #5:
score: 0
Accepted
time: 0ms
memory: 5936kb
input:
6 5 1 2 3 5 4 6
output:
4
result:
ok 1 number(s): "4"
Test #6:
score: 0
Accepted
time: 0ms
memory: 5856kb
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: 5744kb
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: 5840kb
input:
6 3 1 2 3 6 5 4
output:
13
result:
ok 1 number(s): "13"
Test #9:
score: 0
Accepted
time: 1ms
memory: 5860kb
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: 5872kb
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: 1ms
memory: 5872kb
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: 5856kb
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: 1ms
memory: 5748kb
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: 5864kb
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: 1ms
memory: 5940kb
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: 5856kb
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: 5788kb
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: 1ms
memory: 5900kb
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: 5880kb
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: 5940kb
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: 83ms
memory: 5864kb
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: 80ms
memory: 5940kb
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: 83ms
memory: 5864kb
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: 83ms
memory: 5804kb
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: 84ms
memory: 5824kb
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: 83ms
memory: 5744kb
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: 84ms
memory: 5744kb
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: 83ms
memory: 5872kb
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: 84ms
memory: 5744kb
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: 83ms
memory: 5876kb
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: 83ms
memory: 5936kb
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: 79ms
memory: 5808kb
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: 88ms
memory: 5872kb
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: 84ms
memory: 5860kb
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: 83ms
memory: 5856kb
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: 84ms
memory: 5792kb
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: 84ms
memory: 5868kb
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: 80ms
memory: 5880kb
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: 80ms
memory: 5944kb
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: 83ms
memory: 5864kb
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"