ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#202335 | #3537. 序列 | cqzxz | 100 | 893ms | 4300kb | C++ | 1.1kb | 2024-02-15 10:50:06 | 2024-02-15 12:33:13 |
answer
#include<bits/stdc++.h>
#define rg register
#define il inline
#define int long long
using namespace std;
const int p = 1e9 + 7, N = 200005;
int n, m, k, x, ans;
int a[N];
int f[N];
il void init(int n){
f[0] = 1;
for (int i = 1; i <= n; i++) f[i] = 1ll * f[i - 1] * i % p;
}
il int qpow(int a, int b){
int ans = 1, base = a;
while(b){
if (b & 1) ans = 1ll * ans * base % p;
base = 1ll * base * base % p;
b >>= 1;
}
return ans;
}
il int C(int n, int m){
if (m > n || m < 0) return 0;
return 1ll * f[n] * qpow(f[m], p - 2) % p * qpow(f[n - m], p - 2) % p;
}
il int rd(){
char c = getchar();
int n = 0;
while (c < '0' || c > '9'){
c = getchar();
}
while (c >= '0' && c <= '9'){
n = (n << 1) + (n << 3) + (c & 15);
c = getchar();
}
return n;
}
signed main(){
n = rd();
init(n);
for (int i = 1; i <= n; i++) a[i] = rd();
sort(a + 1, a + n + 1);
int ans = 0;
for (int i = 1; i <= n; i++){
int res = C(i - 1, a[i] - 1);
res %= p;
int cnt = qpow(2, n - i);
cnt %= p;
ans = (ans % p + res * cnt % p) % p;
}
cout << ans;
return 0;
}
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: 1184kb
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: 1ms
memory: 1180kb
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: 1180kb
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: 1180kb
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: 1180kb
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: 1212kb
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: 0ms
memory: 1212kb
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: 1212kb
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: 1ms
memory: 1216kb
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: 0ms
memory: 1212kb
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: 99ms
memory: 4296kb
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: 95ms
memory: 4296kb
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: 96ms
memory: 4300kb
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: 99ms
memory: 4300kb
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: 95ms
memory: 4300kb
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: 86ms
memory: 4296kb
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: 58ms
memory: 4296kb
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: 88ms
memory: 4296kb
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: 83ms
memory: 4296kb
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: 92ms
memory: 4296kb
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