UOJ Logo

NOI.AC

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#207928#3711. Heavenly Altitudes18915523188100635ms16972kbC++11848b2024-08-01 10:03:582024-08-01 12:39:27

answer

#include <bits/stdc++.h>
#define ll long long
#define M 1000000007
using namespace std;
ll n,m,g,a[1000006],u[1000006],w[1000006],num,ans=1;

ll add(ll x,ll y){
	return (x+y)%M;
}

ll ch(ll x,ll y){
	return (x*y)%M;
}

ll C(ll x,ll y){
	return ch(ch(u[y],w[x]),w[y-x]);
}

ll f(ll x,ll p){
	ll an=1;
	while(p){
		if(p&1) an=ch(an,x);
		p>>=1;
		x=ch(x,x);
	}
	return an;
}

int main(){
	ios_base::sync_with_stdio(false);
	cin>>n>>m;
	g=n/m;
	u[0]=1;
	w[0]=1;
	for(int i=1;i<=n;i++){
		u[i]=ch(u[i-1],i);
		w[i]=f(u[i],M-2);
//		cout<<u[i]<<" "<<w[i]<<endl;
	}
	for(int i=1;i<=m;i++){
		cin>>a[i];
	}
	sort(a,a+m+1);
	a[m+1]=n+1;
//	for(int i=1;i<=m;i++){
//		cout<<a[i]<<" ";
//	}
	for(int i=m;i>=1;i--){
		num+=a[i+1]-a[i]-1;
		ans=ch(ans,C(g-1,num));
		num-=(g-1);
	}
	cout<<ans;
	return 0;
}

Details

小提示:点击横条可展开更详细的信息

Test #1:

score: 10
Accepted
time: 0ms
memory: 1260kb

input:

9 3
1 3 4

output:

30

result:

ok 1 number(s): "30"

Test #2:

score: 10
Accepted
time: 0ms
memory: 1264kb

input:

10 5
1 2 3 4 6

output:

96

result:

ok 1 number(s): "96"

Test #3:

score: 10
Accepted
time: 0ms
memory: 1288kb

input:

1000 125
1 2 4 6 7 8 10 12 13 16 19 24 25 26 28 29 30 31 39 40 41 46 49 52 55 64 65 67 68 77 78 81 8...

output:

131515409

result:

ok 1 number(s): "131515409"

Test #4:

score: 10
Accepted
time: 0ms
memory: 1292kb

input:

999 111
1 2 6 7 10 12 13 15 19 26 29 32 33 52 53 54 57 58 59 60 69 73 78 87 91 101 103 105 106 110 1...

output:

172899290

result:

ok 1 number(s): "172899290"

Test #5:

score: 10
Accepted
time: 10ms
memory: 2848kb

input:

100000 1250
1 4 13 19 26 33 46 53 68 72 78 100 104 115 116 126 129 131 142 150 156 157 160 167 197 2...

output:

821794520

result:

ok 1 number(s): "821794520"

Test #6:

score: 10
Accepted
time: 17ms
memory: 2928kb

input:

99999 11111
1 2 4 5 9 10 11 12 13 14 15 16 17 19 20 21 22 23 25 27 29 31 32 33 34 35 36 39 41 42 43 ...

output:

941657016

result:

ok 1 number(s): "941657016"

Test #7:

score: 10
Accepted
time: 151ms
memory: 16904kb

input:

1000000 1000
1 200 304 310 404 584 622 831 1056 1160 1948 1984 2027 2137 2216 2434 2452 2488 2667 27...

output:

109815619

result:

ok 1 number(s): "109815619"

Test #8:

score: 10
Accepted
time: 164ms
memory: 16972kb

input:

1000000 10000
1 6 8 13 15 28 44 51 56 72 73 83 97 99 105 113 126 130 136 177 183 184 213 218 265 288...

output:

780311646

result:

ok 1 number(s): "780311646"

Test #9:

score: 10
Accepted
time: 152ms
memory: 16888kb

input:

1000000 100
1 742 1563 4179 8008 8716 11385 16121 16656 17170 18699 24004 29401 31368 35296 35580 45...

output:

338576884

result:

ok 1 number(s): "338576884"

Test #10:

score: 10
Accepted
time: 141ms
memory: 15572kb

input:

900000 30000
1 3 6 7 9 10 18 22 24 29 30 32 33 34 39 44 46 54 55 62 63 64 75 78 84 90 93 95 96 99 10...

output:

507088503

result:

ok 1 number(s): "507088503"