ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#202318 | #3537. 序列 | Oliver | 100 | 3658ms | 7440kb | C++ | 764b | 2024-02-15 09:54:41 | 2024-02-15 12:31:32 |
answer
#include<bits/stdc++.h>
#define ll long long
using namespace std;
ll n,a[200005],tp,nm,b[200005],m,md=1000000007,tm2[200005],jc[200005],ans;
ll tme2(ll m){
if(tm2[m]>0)
return tm2[m];
return tm2[m]=tme2(m/2)*tme2(m/2)%md*(m%2?2:1)%md;
}//check
ll t(ll n,ll m){
if(m==0)
return 1;
ll res=t(n,m/2);
return res*res%md*(m%2?n:1)%md;
}//check
ll C(ll n,ll m){
m=min(m,n-m);
return jc[n]*t(jc[n-m],md-2)%md*t(jc[m],md-2)%md;
}
int main(){
jc[0]=tm2[0]=1;
scanf("%lld",&n);
for(int i=1;i<=n;++i){
jc[i]=jc[i-1]*i%md;
scanf("%lld",a+i);
++b[a[i]];
}
for(int i=1;i<=n;++i)
for(;b[i];--b[i])
a[++m]=i;//check
for(int i=1;i<=n;++i)
if(a[i]<=i)
ans=(ans+C(i-1,a[i]-1)*tme2(n-i)%md)%md;
printf("%lld",ans);
}
Details
小提示:点击横条可展开更详细的信息
Test #1:
score: 5
Accepted
time: 0ms
memory: 1204kb
input:
15 8 6 14 11 4 9 15 14 15 9 14 12 3 6 13
output:
1
result:
ok single line: '1'
Test #2:
score: 5
Accepted
time: 0ms
memory: 1204kb
input:
15 10 9 3 3 2 4 10 10 14 13 14 3 10 1 10
output:
46732
result:
ok single line: '46732'
Test #3:
score: 5
Accepted
time: 0ms
memory: 1208kb
input:
15 3 4 2 13 8 15 8 13 11 6 3 2 9 9 3
output:
32999
result:
ok single line: '32999'
Test #4:
score: 5
Accepted
time: 0ms
memory: 1204kb
input:
15 9 9 10 12 8 8 11 14 6 5 6 13 9 11 6
output:
288
result:
ok single line: '288'
Test #5:
score: 5
Accepted
time: 0ms
memory: 1208kb
input:
15 3 2 15 6 12 1 15 12 5 10 13 4 5 9 6
output:
38637
result:
ok single line: '38637'
Test #6:
score: 5
Accepted
time: 0ms
memory: 1268kb
input:
2000 25 484 1870 583 668 1298 1198 1838 1248 567 1864 1118 1554 564 1303 1047 1053 960 1729 1932 196...
output:
385129497
result:
ok single line: '385129497'
Test #7:
score: 5
Accepted
time: 3ms
memory: 1264kb
input:
2000 34 1417 31 1345 46 1660 875 1911 518 1609 41 1402 1088 1120 1649 1214 1927 1602 645 589 162 161...
output:
44472341
result:
ok single line: '44472341'
Test #8:
score: 5
Accepted
time: 0ms
memory: 1264kb
input:
2000 1024 1019 1146 1656 1906 411 258 1698 1376 1730 998 806 1959 1347 1797 1035 1464 216 179 1618 1...
output:
477127421
result:
ok single line: '477127421'
Test #9:
score: 5
Accepted
time: 0ms
memory: 1264kb
input:
2000 904 1371 1577 708 325 661 1064 1928 1337 1980 1275 583 1688 1560 257 1281 789 1589 787 1875 176...
output:
409666345
result:
ok single line: '409666345'
Test #10:
score: 5
Accepted
time: 2ms
memory: 1268kb
input:
2000 736 1091 1058 755 653 1211 205 1131 1494 1153 1816 35 1455 1411 663 874 1851 510 494 1962 1668 ...
output:
962962192
result:
ok single line: '962962192'
Test #11:
score: 5
Accepted
time: 470ms
memory: 7440kb
input:
200000 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 ...
output:
175895281
result:
ok single line: '175895281'
Test #12:
score: 5
Accepted
time: 468ms
memory: 7436kb
input:
200000 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 ...
output:
175895281
result:
ok single line: '175895281'
Test #13:
score: 5
Accepted
time: 467ms
memory: 7440kb
input:
200000 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 ...
output:
175895281
result:
ok single line: '175895281'
Test #14:
score: 5
Accepted
time: 478ms
memory: 7440kb
input:
200000 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 ...
output:
175895281
result:
ok single line: '175895281'
Test #15:
score: 5
Accepted
time: 464ms
memory: 7436kb
input:
200000 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 ...
output:
175895281
result:
ok single line: '175895281'
Test #16:
score: 5
Accepted
time: 323ms
memory: 6984kb
input:
200000 166590 20849 126411 133366 36333 18332 172547 57470 145664 110620 37556 113908 123961 195783 ...
output:
426667668
result:
ok single line: '426667668'
Test #17:
score: 5
Accepted
time: 145ms
memory: 6636kb
input:
200000 169672 89425 34124 104143 93288 70493 61048 192113 292 79680 52311 52428 142153 144390 91082 ...
output:
462091315
result:
ok single line: '462091315'
Test #18:
score: 5
Accepted
time: 328ms
memory: 7076kb
input:
200000 184655 166160 76584 90054 51931 198051 58297 90616 113758 140994 13505 93311 4251 53203 31173...
output:
697086497
result:
ok single line: '697086497'
Test #19:
score: 5
Accepted
time: 253ms
memory: 6860kb
input:
200000 80079 124181 170434 31758 99420 136529 30673 145269 111549 163488 37324 132314 122035 39583 1...
output:
512465333
result:
ok single line: '512465333'
Test #20:
score: 5
Accepted
time: 257ms
memory: 7324kb
input:
200000 83684 149238 26953 164914 50552 195667 72114 83448 182923 88943 196844 92388 134484 105724 63...
output:
335807702
result:
ok single line: '335807702'
Extra Test:
score: 0
Extra Test Passed