ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#202370 | #3537. 序列 | rua | 100 | 1390ms | 15380kb | C++11 | 3.2kb | 2024-02-15 11:27:44 | 2024-02-15 12:35:51 |
answer
#include <bits/stdc++.h>
#define inf INT_MAX
#define NN INT_MIN
typedef long long ll;
using namespace std;
#define int ll
int n;
ll a[200015];
ll fac[2000015], infac[2000015];
ll bigger[200015], smll[200015], eql[200015];
const ll mod = 1e9 + 7;
bool vis1[200015];
struct node
{
ll data, i;
bool operator<(const node &t) const
{
return data < t.data;
}
} b[200015];
ll qpow(ll a, ll n)
{
ll ans = 1;
while (n)
{
if (n & 1)
ans = (ans * a) % mod;
a = (a * a) % mod;
n >>= 1;
}
return ans % mod;
}
ll femat(ll x)
{
return qpow(x, mod - 2);
}
void init()
{
fac[0] = 1;
for (int i = 1; i <= 290030; i++)
fac[i] = fac[i - 1] * i % mod;
for (int i = 0; i <= 290030; i++)
infac[i] = femat(fac[i]) % mod;
}
ll C(int n, int m)
{
if (n == 0 || m == 0)
return 1;
return fac[n] * infac[m] % mod * infac[n - m] % mod;
}
signed main()
{
#ifdef WHX_AK_IOI
freopen("data.in", "r", stdin);
// freopen("dataout.txt","w",stdout);
#endif
ios::sync_with_stdio(false), cin.tie(0), cout.tie(0);
cin >> n;
init();
for (int i = 1; i <= n; i++)
{
cin >> a[i];
b[i].data = a[i];
b[i].i = i;
}
// cout << infac[7000] << endl;
sort(b + 1, b + n + 1);
for (int i = 1; i <= n; i++)
{
smll[b[i].i] = i - 1;
bigger[b[i].i] = n - i;
while (b[i].data == b[i + 1].data)
i++, smll[b[i].i] = smll[b[i - 1].i], bigger[b[i].i] = bigger[b[i - 1].i];
}
// for (int i = 1; i <= n; i++)
// cout << smll[i] << endl;
for (int i = 1; i <= n; i++)
while (b[i].data == b[i + 1].data)
i++, eql[b[i].i] = eql[b[i - 1].i] + 1;
// for (int i = 1; i <= n; i++)
// cout << eql[b[i].i] << endl;
for (int i = 1; i <= n; i++)
{
int j = i;
while (eql[b[i + 1].i] > eql[b[i].i])
i++;
for (int k = j; k <= i; k++)
eql[b[k].i] = eql[b[i].i];
}
// for (int i = 1; i <= n; i++)
// cout << eql[b[i].i] << endl;
// for (int i = 1; i <= n; i++)
// cout << bigger[b[i].i] << endl;
// for (int i = 1; i <= n; i++)
// bigger[i] -= eql[i];
// for (int i = 1; i <= n; i++)
// cout << smll[i] << ' ';
// cout << endl;
// for (int i = 1; i <= n; i++)
// cout << eql[i] << ' ';
// cout << endl;
// for (int i = 1; i <= n; i++)
// cout << bigger[i] << ' ';
// cout << endl;
ll ans = 0;
for (int i = 1; i <= n; i++)
{
if (vis1[a[i]] == 1)
continue;
vis1[a[i]] = 1;
if (eql[i] < a[i] - 1 - smll[i])
continue;
eql[i] -= max(0LL, a[i] - 1 - smll[i]);
bigger[i] -= max(0LL, a[i] - 1 - smll[i]);
if (smll[i] < a[i] - 1)
smll[i] = a[i] - 1;
// cout << endl
// << endl;
// cout << "case:" << i << endl
// << "sml:" << smll[i] << endl
// << "eql:" << eql[i] << endl
// << "bg:" << bigger[i] << endl
// << endl;
ans = (ans + C(smll[i], a[i] - 1) * qpow(2, bigger[i]) % mod) % mod;
for (int j = 1; j <= eql[i]; j++)
{
smll[i]++, bigger[i]--;
// cout << "case:" << i << endl
// << "sml:" << smll[i] << endl
// << "eql:" << eql[i] << endl
// << "bg:" << bigger[i] << endl
// << endl;
ans = (ans + C(smll[i], a[i] - 1) * qpow(2, bigger[i]) % mod) % mod;
}
}
cout << ans << endl;
// system("pause");
return 0;
}
详细
小提示:点击横条可展开更详细的信息
Test #1:
score: 5
Accepted
time: 47ms
memory: 5824kb
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: 50ms
memory: 5828kb
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: 47ms
memory: 5828kb
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: 46ms
memory: 5832kb
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: 50ms
memory: 5828kb
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: 50ms
memory: 5924kb
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: 47ms
memory: 5920kb
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: 48ms
memory: 5920kb
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: 50ms
memory: 5920kb
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: 46ms
memory: 5920kb
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: 84ms
memory: 15376kb
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: 88ms
memory: 15376kb
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: 92ms
memory: 15376kb
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: 88ms
memory: 15380kb
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: 83ms
memory: 15380kb
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: 95ms
memory: 15376kb
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: 90ms
memory: 15376kb
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: 92ms
memory: 15376kb
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: 93ms
memory: 15380kb
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: 104ms
memory: 15380kb
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