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NOI.AC

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#207985#3711. Heavenly Altitudesthree_zero301001505ms16952kbC++11874b2024-08-01 10:52:342024-08-01 12:42:18

answer

#include<bits/stdc++.h>
#define ll long long
using namespace std;
const ll MOD=1e9+7;
const int N=1e6+2;
ll a[N];
ll f[N];
ll niyuan[N];
ll ans;
ll tn;
ll n,m,cnt;
ll fastpow(ll x,ll deep){
	if(deep==1)return x;
	ll tmp=fastpow(x,deep/2)%MOD;
	if(deep%2==0){
		return (tmp*tmp)%MOD;
	}
	else{
		return (((tmp*tmp)%MOD)*x)%MOD;
	}
}
ll C(ll m,ll n){//m个里面选n个
	return (f[m]*((niyuan[n]*niyuan[m-n])%MOD))%MOD; 
}
int main(){
	ios::sync_with_stdio(0);
	cin.tie(0);
	cin>>n>>m;
	for(int i=m;i>=1;i--){
		cin>>a[i];
	}
	f[0]=1;
	niyuan[0]=1;
	f[1]=1;
	niyuan[1]=1;
	for(int i=2;i<=n;i++){
		f[i]=(f[i-1]*i)%MOD;
		niyuan[i]=fastpow(f[i],MOD-2)%MOD;
	}
	a[0]=n+1;
	tn=0;
	ans=1;
	cnt=n/m-1;
	for(int i=1;i<=m;i++){	
		ans=(ans*C(a[i-1]-a[i]-1+tn,cnt))%MOD;
		tn=(tn+a[i-1]-a[i]-1-cnt);
	}
	cout<<ans<<endl;
	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: 1252kb

input:

9 3
1 3 4

output:

30

result:

ok 1 number(s): "30"

Test #2:

score: 10
Accepted
time: 0ms
memory: 1256kb

input:

10 5
1 2 3 4 6

output:

96

result:

ok 1 number(s): "96"

Test #3:

score: 10
Accepted
time: 0ms
memory: 1272kb

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: 1272kb

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: 38ms
memory: 2824kb

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: 39ms
memory: 2904kb

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: 371ms
memory: 16880kb

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: 366ms
memory: 16952kb

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: 364ms
memory: 16872kb

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: 327ms
memory: 15556kb

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"