#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
const int MAXN = 2018, MOD = 1e9 + 7;
#define debug(...) fprintf(stderr, __VA_ARGS__)
#define fi first
#define se second
#define all(v) (v).begin(), (v).end()
#define fillchar(a, s) memset((a), (s), sizeof(a))
inline void addeq (int &x, int y) {
x += y;
if (x >= MOD) {
x -= MOD;
}
}
inline int add (int x, int y) {
addeq(x, y);
return x;
}
inline int subtr (int x, int y) {
x -= y;
if (x < 0) {
x += MOD;
}
return x;
}
inline int mult (int x, int y) {
return ll(x) * y % MOD;
}
inline void multeq (int &x, int y) {
x = mult(x, y);
}
int N;
int A[MAXN], B[MAXN];
int inda[MAXN], indb[MAXN];
vector<int> vals;
int len[MAXN];
int dp[MAXN][MAXN]; //dp[position][Where is your thing?]
int pdp[MAXN][MAXN];
int inv[MAXN];
int main() {
//precomputation
inv[1] = 1;
for (int i = 2; i < MAXN; i++) {
inv[i] = mult(inv[MOD % i], MOD - MOD / i);
}
scanf("%d", &N);
for (int i = 1; i <= N; i++) {
scanf("%d %d", &A[i], &B[i]);
B[i]++;
vals.push_back(A[i]);
vals.push_back(B[i]);
}
sort(all(vals));
vals.resize(unique(all(vals)) - vals.begin());
for (int i = 1; i <= N; i++) {
A[i] = lower_bound(all(vals), A[i]) - vals.begin();
B[i] = lower_bound(all(vals), B[i]) - vals.begin();
}
for (int i = 1; i < vals.size(); i++) {
len[i] = vals[i] - vals[i - 1];
}
for (int i = 0; i < vals.size(); i++) {
dp[0][i] = 1;
}
for (int i = 0; i < vals.size(); i++) {
dp[0][i] = 1;
}
for (int i = 1; i <= N; i++) {
for (int j = A[i] + 1; j <= B[i]; j++) {
dp[i][j] = mult(len[j], dp[i - 1][j - 1]);
int cho = len[j] - 1;
int npos = 1;
for (int k = i - 1; k >= 1; k--) {
if (A[k] + 1 <= j && j <= B[k]) {
npos++;
multeq(cho, mult(len[j] + npos - 2, inv[npos])); //did thru examples...not as clear at first, but you will understand.
addeq(dp[i][j], mult(cho, dp[k - 1][j - 1]));
}
}
}
dp[i][0] = 1;
for (int j = 1; j < vals.size(); j++) {
addeq(dp[i][j], subtr(add(dp[i - 1][j], dp[i][j - 1]), dp[i - 1][j - 1]));
}
}
printf("%d\n", subtr(dp[N][vals.size() - 1], 1));
}
Compilation message
boat.cpp: In function 'int main()':
boat.cpp:74:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int i = 1; i < vals.size(); i++) {
~~^~~~~~~~~~~~~
boat.cpp:78:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int i = 0; i < vals.size(); i++) {
~~^~~~~~~~~~~~~
boat.cpp:82:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int i = 0; i < vals.size(); i++) {
~~^~~~~~~~~~~~~
boat.cpp:101:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
for (int j = 1; j < vals.size(); j++) {
~~^~~~~~~~~~~~~
boat.cpp:60:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d", &N);
~~~~~^~~~~~~~~~
boat.cpp:62:8: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
scanf("%d %d", &A[i], &B[i]);
~~~~~^~~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
9 ms |
4340 KB |
Output is correct |
2 |
Correct |
10 ms |
4340 KB |
Output is correct |
3 |
Correct |
9 ms |
4400 KB |
Output is correct |
4 |
Correct |
8 ms |
4464 KB |
Output is correct |
5 |
Correct |
11 ms |
4468 KB |
Output is correct |
6 |
Correct |
8 ms |
4484 KB |
Output is correct |
7 |
Correct |
9 ms |
4572 KB |
Output is correct |
8 |
Correct |
9 ms |
4584 KB |
Output is correct |
9 |
Correct |
9 ms |
4608 KB |
Output is correct |
10 |
Correct |
8 ms |
4608 KB |
Output is correct |
11 |
Correct |
10 ms |
4624 KB |
Output is correct |
12 |
Correct |
8 ms |
4632 KB |
Output is correct |
13 |
Correct |
9 ms |
4644 KB |
Output is correct |
14 |
Correct |
10 ms |
4656 KB |
Output is correct |
15 |
Correct |
10 ms |
4668 KB |
Output is correct |
16 |
Correct |
7 ms |
4668 KB |
Output is correct |
17 |
Correct |
5 ms |
4668 KB |
Output is correct |
18 |
Correct |
7 ms |
4668 KB |
Output is correct |
19 |
Correct |
6 ms |
4668 KB |
Output is correct |
20 |
Correct |
6 ms |
4668 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
9 ms |
4340 KB |
Output is correct |
2 |
Correct |
10 ms |
4340 KB |
Output is correct |
3 |
Correct |
9 ms |
4400 KB |
Output is correct |
4 |
Correct |
8 ms |
4464 KB |
Output is correct |
5 |
Correct |
11 ms |
4468 KB |
Output is correct |
6 |
Correct |
8 ms |
4484 KB |
Output is correct |
7 |
Correct |
9 ms |
4572 KB |
Output is correct |
8 |
Correct |
9 ms |
4584 KB |
Output is correct |
9 |
Correct |
9 ms |
4608 KB |
Output is correct |
10 |
Correct |
8 ms |
4608 KB |
Output is correct |
11 |
Correct |
10 ms |
4624 KB |
Output is correct |
12 |
Correct |
8 ms |
4632 KB |
Output is correct |
13 |
Correct |
9 ms |
4644 KB |
Output is correct |
14 |
Correct |
10 ms |
4656 KB |
Output is correct |
15 |
Correct |
10 ms |
4668 KB |
Output is correct |
16 |
Correct |
7 ms |
4668 KB |
Output is correct |
17 |
Correct |
5 ms |
4668 KB |
Output is correct |
18 |
Correct |
7 ms |
4668 KB |
Output is correct |
19 |
Correct |
6 ms |
4668 KB |
Output is correct |
20 |
Correct |
6 ms |
4668 KB |
Output is correct |
21 |
Correct |
358 ms |
4668 KB |
Output is correct |
22 |
Correct |
408 ms |
4668 KB |
Output is correct |
23 |
Correct |
336 ms |
4668 KB |
Output is correct |
24 |
Correct |
356 ms |
4668 KB |
Output is correct |
25 |
Correct |
289 ms |
4668 KB |
Output is correct |
26 |
Correct |
516 ms |
4668 KB |
Output is correct |
27 |
Correct |
522 ms |
4668 KB |
Output is correct |
28 |
Correct |
464 ms |
4668 KB |
Output is correct |
29 |
Correct |
470 ms |
4668 KB |
Output is correct |
30 |
Correct |
10 ms |
4888 KB |
Output is correct |
31 |
Correct |
11 ms |
4912 KB |
Output is correct |
32 |
Correct |
9 ms |
4912 KB |
Output is correct |
33 |
Correct |
11 ms |
4916 KB |
Output is correct |
34 |
Correct |
10 ms |
4916 KB |
Output is correct |
35 |
Correct |
12 ms |
4916 KB |
Output is correct |
36 |
Correct |
12 ms |
4964 KB |
Output is correct |
37 |
Correct |
12 ms |
4964 KB |
Output is correct |
38 |
Correct |
11 ms |
4976 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
6 ms |
4976 KB |
Output is correct |
2 |
Correct |
5 ms |
4976 KB |
Output is correct |
3 |
Correct |
5 ms |
4976 KB |
Output is correct |
4 |
Correct |
5 ms |
4976 KB |
Output is correct |
5 |
Correct |
8 ms |
4976 KB |
Output is correct |
6 |
Correct |
8 ms |
4976 KB |
Output is correct |
7 |
Correct |
11 ms |
4976 KB |
Output is correct |
8 |
Correct |
7 ms |
4976 KB |
Output is correct |
9 |
Correct |
6 ms |
4976 KB |
Output is correct |
10 |
Correct |
8 ms |
4976 KB |
Output is correct |
11 |
Correct |
6 ms |
4976 KB |
Output is correct |
12 |
Correct |
6 ms |
4976 KB |
Output is correct |
13 |
Correct |
6 ms |
4976 KB |
Output is correct |
14 |
Correct |
7 ms |
4976 KB |
Output is correct |
15 |
Correct |
6 ms |
4976 KB |
Output is correct |
16 |
Correct |
5 ms |
4976 KB |
Output is correct |
17 |
Correct |
5 ms |
4976 KB |
Output is correct |
18 |
Correct |
6 ms |
4976 KB |
Output is correct |
19 |
Correct |
4 ms |
4976 KB |
Output is correct |
20 |
Correct |
5 ms |
4976 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
9 ms |
4340 KB |
Output is correct |
2 |
Correct |
10 ms |
4340 KB |
Output is correct |
3 |
Correct |
9 ms |
4400 KB |
Output is correct |
4 |
Correct |
8 ms |
4464 KB |
Output is correct |
5 |
Correct |
11 ms |
4468 KB |
Output is correct |
6 |
Correct |
8 ms |
4484 KB |
Output is correct |
7 |
Correct |
9 ms |
4572 KB |
Output is correct |
8 |
Correct |
9 ms |
4584 KB |
Output is correct |
9 |
Correct |
9 ms |
4608 KB |
Output is correct |
10 |
Correct |
8 ms |
4608 KB |
Output is correct |
11 |
Correct |
10 ms |
4624 KB |
Output is correct |
12 |
Correct |
8 ms |
4632 KB |
Output is correct |
13 |
Correct |
9 ms |
4644 KB |
Output is correct |
14 |
Correct |
10 ms |
4656 KB |
Output is correct |
15 |
Correct |
10 ms |
4668 KB |
Output is correct |
16 |
Correct |
7 ms |
4668 KB |
Output is correct |
17 |
Correct |
5 ms |
4668 KB |
Output is correct |
18 |
Correct |
7 ms |
4668 KB |
Output is correct |
19 |
Correct |
6 ms |
4668 KB |
Output is correct |
20 |
Correct |
6 ms |
4668 KB |
Output is correct |
21 |
Correct |
358 ms |
4668 KB |
Output is correct |
22 |
Correct |
408 ms |
4668 KB |
Output is correct |
23 |
Correct |
336 ms |
4668 KB |
Output is correct |
24 |
Correct |
356 ms |
4668 KB |
Output is correct |
25 |
Correct |
289 ms |
4668 KB |
Output is correct |
26 |
Correct |
516 ms |
4668 KB |
Output is correct |
27 |
Correct |
522 ms |
4668 KB |
Output is correct |
28 |
Correct |
464 ms |
4668 KB |
Output is correct |
29 |
Correct |
470 ms |
4668 KB |
Output is correct |
30 |
Correct |
10 ms |
4888 KB |
Output is correct |
31 |
Correct |
11 ms |
4912 KB |
Output is correct |
32 |
Correct |
9 ms |
4912 KB |
Output is correct |
33 |
Correct |
11 ms |
4916 KB |
Output is correct |
34 |
Correct |
10 ms |
4916 KB |
Output is correct |
35 |
Correct |
12 ms |
4916 KB |
Output is correct |
36 |
Correct |
12 ms |
4964 KB |
Output is correct |
37 |
Correct |
12 ms |
4964 KB |
Output is correct |
38 |
Correct |
11 ms |
4976 KB |
Output is correct |
39 |
Correct |
6 ms |
4976 KB |
Output is correct |
40 |
Correct |
5 ms |
4976 KB |
Output is correct |
41 |
Correct |
5 ms |
4976 KB |
Output is correct |
42 |
Correct |
5 ms |
4976 KB |
Output is correct |
43 |
Correct |
8 ms |
4976 KB |
Output is correct |
44 |
Correct |
8 ms |
4976 KB |
Output is correct |
45 |
Correct |
11 ms |
4976 KB |
Output is correct |
46 |
Correct |
7 ms |
4976 KB |
Output is correct |
47 |
Correct |
6 ms |
4976 KB |
Output is correct |
48 |
Correct |
8 ms |
4976 KB |
Output is correct |
49 |
Correct |
6 ms |
4976 KB |
Output is correct |
50 |
Correct |
6 ms |
4976 KB |
Output is correct |
51 |
Correct |
6 ms |
4976 KB |
Output is correct |
52 |
Correct |
7 ms |
4976 KB |
Output is correct |
53 |
Correct |
6 ms |
4976 KB |
Output is correct |
54 |
Correct |
5 ms |
4976 KB |
Output is correct |
55 |
Correct |
5 ms |
4976 KB |
Output is correct |
56 |
Correct |
6 ms |
4976 KB |
Output is correct |
57 |
Correct |
4 ms |
4976 KB |
Output is correct |
58 |
Correct |
5 ms |
4976 KB |
Output is correct |
59 |
Correct |
367 ms |
5072 KB |
Output is correct |
60 |
Correct |
320 ms |
5144 KB |
Output is correct |
61 |
Correct |
294 ms |
5160 KB |
Output is correct |
62 |
Correct |
343 ms |
5192 KB |
Output is correct |
63 |
Correct |
431 ms |
5192 KB |
Output is correct |
64 |
Correct |
600 ms |
5192 KB |
Output is correct |
65 |
Correct |
635 ms |
5192 KB |
Output is correct |
66 |
Correct |
644 ms |
5228 KB |
Output is correct |
67 |
Correct |
749 ms |
5344 KB |
Output is correct |
68 |
Correct |
622 ms |
5364 KB |
Output is correct |
69 |
Correct |
288 ms |
5364 KB |
Output is correct |
70 |
Correct |
293 ms |
5364 KB |
Output is correct |
71 |
Correct |
359 ms |
5364 KB |
Output is correct |
72 |
Correct |
240 ms |
5364 KB |
Output is correct |
73 |
Correct |
297 ms |
5364 KB |
Output is correct |
74 |
Correct |
101 ms |
5364 KB |
Output is correct |
75 |
Correct |
75 ms |
5364 KB |
Output is correct |
76 |
Correct |
82 ms |
5364 KB |
Output is correct |
77 |
Correct |
92 ms |
5364 KB |
Output is correct |
78 |
Correct |
68 ms |
5364 KB |
Output is correct |