ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#207928 | #3711. Heavenly Altitudes | 18915523188 | 100 | 635ms | 16972kb | C++11 | 848b | 2024-08-01 10:03:58 | 2024-08-01 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"