Submission #945667
Source Code Expand
#include<bits/stdc++.h> using namespace std; int modulo(1e9 + 7); const int N(555555); int a[N], cnt[N], le[N], bt[N], fac[N]; bool vst[N]; int n; int getSum(int x) { int res(0); for(int i(x); i; i -= i & -i) res += bt[i]; return res; } void inc(int x) { for(int i(x); i <= n; i += i & -i) bt[i] += 1; } int main() { cin >> n; fac[0] = 1; for(int i(1); i <= n; i++) { fac[i] = 1ll * i * fac[i - 1] % modulo; } for(int i(1); i <= n; i++) { cin >> a[i]; cnt[i] = cnt[i - 1]; if(a[i] == 0) { cnt[i]++; }else { vst[a[i]] = true; } } int sum(0); for(int i(1); i <= n; i++) { if(!vst[i]) { le[i] = 1; sum = (sum + i) % modulo; } } for(int i(1); i <= n; i++) { le[i] += le[i - 1]; } int ans(0), cur(0); for(int i(1); i <= n; i++) { if(a[i]) { int tmp(0); tmp = (tmp + 1ll * (a[i] - 1) * fac[cnt[n]]) % modulo; int nu(getSum(a[i])); tmp = (tmp - 1ll * fac[cnt[n]] * nu % modulo + modulo) % modulo; //k = cnt[i], l = cnt[n] - k, a = le[a[i]] if(cnt[i]) { tmp = (tmp - 1ll * le[a[i]] * cnt[i] % modulo * fac[cnt[n] - 1] % modulo + modulo) % modulo; } //printf("tmp[%d] = %d\n", i, tmp); ans = (ans + 1ll * fac[n - i] * tmp) % modulo; inc(a[i]); cur = (cur + (cnt[n] - le[a[i]])) % modulo; }else { //k = cnt[i], m = cnt[n] int tmp(0); tmp = (tmp + 1ll * (sum - cnt[n] + modulo) * fac[cnt[n] - 1]) % modulo; tmp = (tmp - 1ll * cnt[n] * (cnt[n] - 1) / 2 % modulo * (cnt[i] - 1) % modulo * fac[cnt[n] - 2] % modulo + modulo) % modulo; tmp = (tmp - 1ll * cur * fac[cnt[n] - 1] % modulo + modulo) % modulo; ans = (ans + 1ll * fac[n - i] * tmp) % modulo; } } cout << (ans + fac[cnt[n]]) % modulo << endl; }
Submission Info
Submission Time | |
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Task | E - Encyclopedia of Permutations |
User | xyz2606 |
Language | C++14 (GCC 5.4.1) |
Score | 1200 |
Code Size | 1776 Byte |
Status | AC |
Exec Time | 820 ms |
Memory | 10496 KB |
Judge Result
Set Name | Sample | Subtask | All | ||||||
---|---|---|---|---|---|---|---|---|---|
Score / Max Score | 0 / 0 | 500 / 500 | 700 / 700 | ||||||
Status |
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Set Name | Test Cases |
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Sample | 0_000.txt, 0_001.txt, 0_002.txt, 0_003.txt, 0_004.txt |
Subtask | 0_000.txt, 0_001.txt, 0_002.txt, 0_003.txt, 0_004.txt, 1_005.txt, 1_006.txt, 1_007.txt, 1_008.txt, 1_009.txt, 1_010.txt, 1_011.txt, 1_012.txt, 1_013.txt, 1_014.txt, 1_015.txt, 1_016.txt, 1_017.txt, 1_018.txt, 1_019.txt, 1_020.txt, 1_021.txt, 1_022.txt, 1_023.txt, 1_024.txt, 1_025.txt, 1_026.txt, 1_027.txt, 1_028.txt, 1_029.txt, 1_030.txt, 1_031.txt, 1_032.txt |
All | 0_000.txt, 0_001.txt, 0_002.txt, 0_003.txt, 0_004.txt, 1_005.txt, 1_006.txt, 1_007.txt, 1_008.txt, 1_009.txt, 1_010.txt, 1_011.txt, 1_012.txt, 1_013.txt, 1_014.txt, 1_015.txt, 1_016.txt, 1_017.txt, 1_018.txt, 1_019.txt, 1_020.txt, 1_021.txt, 1_022.txt, 1_023.txt, 1_024.txt, 1_025.txt, 1_026.txt, 1_027.txt, 1_028.txt, 1_029.txt, 1_030.txt, 1_031.txt, 1_032.txt, 2_033.txt, 2_034.txt, 2_035.txt, 2_036.txt, 2_037.txt, 2_038.txt, 2_039.txt, 2_040.txt, 2_041.txt, 2_042.txt, 2_043.txt, 2_044.txt, 2_045.txt, 2_046.txt, 2_047.txt, 2_048.txt, 2_049.txt, 2_050.txt, 2_051.txt, 2_052.txt, 2_053.txt, 2_054.txt, 2_055.txt, 2_056.txt, 2_057.txt |
Case Name | Status | Exec Time | Memory |
---|---|---|---|
0_000.txt | AC | 3 ms | 256 KB |
0_001.txt | AC | 3 ms | 256 KB |
0_002.txt | AC | 3 ms | 256 KB |
0_003.txt | AC | 3 ms | 256 KB |
0_004.txt | AC | 3 ms | 256 KB |
1_005.txt | AC | 3 ms | 256 KB |
1_006.txt | AC | 3 ms | 256 KB |
1_007.txt | AC | 3 ms | 256 KB |
1_008.txt | AC | 4 ms | 256 KB |
1_009.txt | AC | 3 ms | 256 KB |
1_010.txt | AC | 4 ms | 256 KB |
1_011.txt | AC | 3 ms | 256 KB |
1_012.txt | AC | 4 ms | 384 KB |
1_013.txt | AC | 3 ms | 256 KB |
1_014.txt | AC | 4 ms | 384 KB |
1_015.txt | AC | 3 ms | 256 KB |
1_016.txt | AC | 4 ms | 384 KB |
1_017.txt | AC | 3 ms | 256 KB |
1_018.txt | AC | 4 ms | 256 KB |
1_019.txt | AC | 3 ms | 256 KB |
1_020.txt | AC | 4 ms | 256 KB |
1_021.txt | AC | 3 ms | 256 KB |
1_022.txt | AC | 4 ms | 256 KB |
1_023.txt | AC | 3 ms | 256 KB |
1_024.txt | AC | 4 ms | 384 KB |
1_025.txt | AC | 3 ms | 256 KB |
1_026.txt | AC | 4 ms | 384 KB |
1_027.txt | AC | 3 ms | 256 KB |
1_028.txt | AC | 4 ms | 256 KB |
1_029.txt | AC | 4 ms | 384 KB |
1_030.txt | AC | 4 ms | 384 KB |
1_031.txt | AC | 4 ms | 384 KB |
1_032.txt | AC | 4 ms | 256 KB |
2_033.txt | AC | 174 ms | 8064 KB |
2_034.txt | AC | 89 ms | 4224 KB |
2_035.txt | AC | 191 ms | 10496 KB |
2_036.txt | AC | 175 ms | 9728 KB |
2_037.txt | AC | 206 ms | 10496 KB |
2_038.txt | AC | 820 ms | 9344 KB |
2_039.txt | AC | 214 ms | 10496 KB |
2_040.txt | AC | 105 ms | 5376 KB |
2_041.txt | AC | 222 ms | 10496 KB |
2_042.txt | AC | 43 ms | 2176 KB |
2_043.txt | AC | 231 ms | 10496 KB |
2_044.txt | AC | 154 ms | 7040 KB |
2_045.txt | AC | 238 ms | 10496 KB |
2_046.txt | AC | 230 ms | 10112 KB |
2_047.txt | AC | 247 ms | 10496 KB |
2_048.txt | AC | 107 ms | 4736 KB |
2_049.txt | AC | 257 ms | 10496 KB |
2_050.txt | AC | 167 ms | 7040 KB |
2_051.txt | AC | 245 ms | 10496 KB |
2_052.txt | AC | 221 ms | 9472 KB |
2_053.txt | AC | 176 ms | 8064 KB |
2_054.txt | AC | 259 ms | 10496 KB |
2_055.txt | AC | 230 ms | 10496 KB |
2_056.txt | AC | 233 ms | 10496 KB |
2_057.txt | AC | 218 ms | 10496 KB |