#include <bits/stdc++.h>
using namespace std;
#define REP(i,n) for(int (i)=0;(i)<(int)(n);(i)++)
#define REPO(i,n) for(int (i)=1; (i)<=(int)(n); (i)++)
#define SZ(v) ((int)(v).size())
#define ALL(v) (v).begin(),(v).end()
#define one first
#define two second
typedef long long ll;
typedef pair<int, int> pi;
const int INF = 0x3f2f1f0f;
const ll LINF = 1ll * INF * INF;
const int MAX_N = 5e2 + 10, MAX_C = MAX_N * 2, MOD = 1e9 + 7;
int N, Nr[MAX_N][2], Dy[2][MAX_C][MAX_N], Sum[MAX_C];
vector<int> Co;
void add(int &a, int b) {
if((a+=b) >= MOD) a -= MOD;
if(a<0) a += MOD;
}
int pow(int a, int b) {
int r = 1, p = a;
while(b) {
if(b&1) r = 1ll * r * p % MOD;
p = 1ll * p * p % MOD;
b >>= 1;
}
return r;
}
int Calc[MAX_C][MAX_N];
int main() {
cin >> N;
REPO(i, N) REP(j, 2) scanf("%d", &Nr[i][j]), Nr[i][j] += j, Co.push_back(Nr[i][j]);
Co.push_back(0);
sort(ALL(Co)); Co.erase(unique(ALL(Co)), Co.end());
REPO(i, N) REP(j, 2) Nr[i][j] = lower_bound(ALL(Co), Nr[i][j]) - Co.begin();
int cN = SZ(Co);
for(int i=0; i+1<cN; i++) {
Calc[i][0] = 1;
int v = Co[i+1] - Co[i];
for(int j=1; j<=N; j++)
Calc[i][j] = 1ll * Calc[i][j-1] * (v-j+1) % MOD * pow(j, MOD-2) % MOD;
}
Dy[0][0][0] = Dy[0][0][1] = 1;
REPO(i, N) {
int n = i&1, o = 1-n;
for(int j=0; j<Nr[i][1]-1; j++) {
if(j) Sum[j] = Sum[j-1]; else Sum[j] = 0;
Sum[j] = (Sum[j] + Dy[o][j][0]) % MOD;
}
for(int k=0; k<=i; k++) for(int j=0; j<cN; j++) Dy[n][j][k] = Dy[o][j][k];
for(int j=Nr[i][0]; j<Nr[i][1]; j++) {
for(int k=i; k>=1; k--) {
add(Dy[n][j][k+1], Dy[n][j][k]);
add(Dy[n][j][0], 1ll * Dy[n][j][k] * Calc[j][k+1] % MOD);
}
add(Dy[n][j][1], Sum[j-1]);
add(Dy[n][j][0], 1ll * Sum[j-1] * Calc[j][1] % MOD);
}
/*
for(int j=0; j+1<cN; j++) {
printf("[%d ~ %d]\n", Co[j], Co[j+1]);
for(int k=0; k<=i; k++) printf("%d ", Dy[n][j][k]); puts("");
}
*/
}
int ans = 0;
for(int j=1; j<cN; j++) add(ans, Dy[N&1][j][0]);
printf("%d\n", ans);
return 0;
}
Compilation message
boat.cpp: In function 'int main()':
boat.cpp:36:84: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
REPO(i, N) REP(j, 2) scanf("%d", &Nr[i][j]), Nr[i][j] += j, Co.push_back(Nr[i][j]);
^
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
676 ms |
8128 KB |
Output is correct |
2 |
Correct |
719 ms |
8128 KB |
Output is correct |
3 |
Correct |
746 ms |
8128 KB |
Output is correct |
4 |
Correct |
773 ms |
8128 KB |
Output is correct |
5 |
Correct |
673 ms |
8128 KB |
Output is correct |
6 |
Correct |
743 ms |
8128 KB |
Output is correct |
7 |
Correct |
783 ms |
8128 KB |
Output is correct |
8 |
Correct |
809 ms |
8128 KB |
Output is correct |
9 |
Correct |
716 ms |
8128 KB |
Output is correct |
10 |
Correct |
713 ms |
8128 KB |
Output is correct |
11 |
Correct |
789 ms |
8128 KB |
Output is correct |
12 |
Correct |
896 ms |
8128 KB |
Output is correct |
13 |
Correct |
786 ms |
8128 KB |
Output is correct |
14 |
Correct |
713 ms |
8128 KB |
Output is correct |
15 |
Correct |
696 ms |
8128 KB |
Output is correct |
16 |
Correct |
73 ms |
8128 KB |
Output is correct |
17 |
Correct |
89 ms |
8128 KB |
Output is correct |
18 |
Correct |
73 ms |
8128 KB |
Output is correct |
19 |
Correct |
79 ms |
8128 KB |
Output is correct |
20 |
Correct |
83 ms |
8128 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
676 ms |
8128 KB |
Output is correct |
2 |
Correct |
719 ms |
8128 KB |
Output is correct |
3 |
Correct |
746 ms |
8128 KB |
Output is correct |
4 |
Correct |
773 ms |
8128 KB |
Output is correct |
5 |
Correct |
673 ms |
8128 KB |
Output is correct |
6 |
Correct |
743 ms |
8128 KB |
Output is correct |
7 |
Correct |
783 ms |
8128 KB |
Output is correct |
8 |
Correct |
809 ms |
8128 KB |
Output is correct |
9 |
Correct |
716 ms |
8128 KB |
Output is correct |
10 |
Correct |
713 ms |
8128 KB |
Output is correct |
11 |
Correct |
789 ms |
8128 KB |
Output is correct |
12 |
Correct |
896 ms |
8128 KB |
Output is correct |
13 |
Correct |
786 ms |
8128 KB |
Output is correct |
14 |
Correct |
713 ms |
8128 KB |
Output is correct |
15 |
Correct |
696 ms |
8128 KB |
Output is correct |
16 |
Correct |
73 ms |
8128 KB |
Output is correct |
17 |
Correct |
89 ms |
8128 KB |
Output is correct |
18 |
Correct |
73 ms |
8128 KB |
Output is correct |
19 |
Correct |
79 ms |
8128 KB |
Output is correct |
20 |
Correct |
83 ms |
8128 KB |
Output is correct |
21 |
Correct |
1018 ms |
8128 KB |
Output is correct |
22 |
Correct |
976 ms |
8128 KB |
Output is correct |
23 |
Correct |
876 ms |
8128 KB |
Output is correct |
24 |
Correct |
939 ms |
8128 KB |
Output is correct |
25 |
Correct |
959 ms |
8128 KB |
Output is correct |
26 |
Correct |
1176 ms |
8128 KB |
Output is correct |
27 |
Correct |
1173 ms |
8128 KB |
Output is correct |
28 |
Correct |
1166 ms |
8128 KB |
Output is correct |
29 |
Correct |
1119 ms |
8128 KB |
Output is correct |
30 |
Correct |
686 ms |
8128 KB |
Output is correct |
31 |
Correct |
739 ms |
8128 KB |
Output is correct |
32 |
Correct |
719 ms |
8128 KB |
Output is correct |
33 |
Correct |
679 ms |
8128 KB |
Output is correct |
34 |
Correct |
723 ms |
8128 KB |
Output is correct |
35 |
Correct |
849 ms |
8128 KB |
Output is correct |
36 |
Correct |
666 ms |
8128 KB |
Output is correct |
37 |
Correct |
666 ms |
8128 KB |
Output is correct |
38 |
Correct |
726 ms |
8128 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
9 ms |
8128 KB |
Output is correct |
2 |
Correct |
13 ms |
8128 KB |
Output is correct |
3 |
Correct |
9 ms |
8128 KB |
Output is correct |
4 |
Correct |
13 ms |
8128 KB |
Output is correct |
5 |
Correct |
9 ms |
8128 KB |
Output is correct |
6 |
Correct |
13 ms |
8128 KB |
Output is correct |
7 |
Correct |
13 ms |
8128 KB |
Output is correct |
8 |
Correct |
13 ms |
8128 KB |
Output is correct |
9 |
Correct |
13 ms |
8128 KB |
Output is correct |
10 |
Correct |
13 ms |
8128 KB |
Output is correct |
11 |
Correct |
9 ms |
8128 KB |
Output is correct |
12 |
Correct |
6 ms |
8128 KB |
Output is correct |
13 |
Correct |
9 ms |
8128 KB |
Output is correct |
14 |
Correct |
9 ms |
8128 KB |
Output is correct |
15 |
Correct |
9 ms |
8128 KB |
Output is correct |
16 |
Correct |
6 ms |
8128 KB |
Output is correct |
17 |
Correct |
6 ms |
8128 KB |
Output is correct |
18 |
Correct |
6 ms |
8128 KB |
Output is correct |
19 |
Correct |
3 ms |
8128 KB |
Output is correct |
20 |
Correct |
6 ms |
8128 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
676 ms |
8128 KB |
Output is correct |
2 |
Correct |
719 ms |
8128 KB |
Output is correct |
3 |
Correct |
746 ms |
8128 KB |
Output is correct |
4 |
Correct |
773 ms |
8128 KB |
Output is correct |
5 |
Correct |
673 ms |
8128 KB |
Output is correct |
6 |
Correct |
743 ms |
8128 KB |
Output is correct |
7 |
Correct |
783 ms |
8128 KB |
Output is correct |
8 |
Correct |
809 ms |
8128 KB |
Output is correct |
9 |
Correct |
716 ms |
8128 KB |
Output is correct |
10 |
Correct |
713 ms |
8128 KB |
Output is correct |
11 |
Correct |
789 ms |
8128 KB |
Output is correct |
12 |
Correct |
896 ms |
8128 KB |
Output is correct |
13 |
Correct |
786 ms |
8128 KB |
Output is correct |
14 |
Correct |
713 ms |
8128 KB |
Output is correct |
15 |
Correct |
696 ms |
8128 KB |
Output is correct |
16 |
Correct |
73 ms |
8128 KB |
Output is correct |
17 |
Correct |
89 ms |
8128 KB |
Output is correct |
18 |
Correct |
73 ms |
8128 KB |
Output is correct |
19 |
Correct |
79 ms |
8128 KB |
Output is correct |
20 |
Correct |
83 ms |
8128 KB |
Output is correct |
21 |
Correct |
1018 ms |
8128 KB |
Output is correct |
22 |
Correct |
976 ms |
8128 KB |
Output is correct |
23 |
Correct |
876 ms |
8128 KB |
Output is correct |
24 |
Correct |
939 ms |
8128 KB |
Output is correct |
25 |
Correct |
959 ms |
8128 KB |
Output is correct |
26 |
Correct |
1176 ms |
8128 KB |
Output is correct |
27 |
Correct |
1173 ms |
8128 KB |
Output is correct |
28 |
Correct |
1166 ms |
8128 KB |
Output is correct |
29 |
Correct |
1119 ms |
8128 KB |
Output is correct |
30 |
Correct |
686 ms |
8128 KB |
Output is correct |
31 |
Correct |
739 ms |
8128 KB |
Output is correct |
32 |
Correct |
719 ms |
8128 KB |
Output is correct |
33 |
Correct |
679 ms |
8128 KB |
Output is correct |
34 |
Correct |
723 ms |
8128 KB |
Output is correct |
35 |
Correct |
849 ms |
8128 KB |
Output is correct |
36 |
Correct |
666 ms |
8128 KB |
Output is correct |
37 |
Correct |
666 ms |
8128 KB |
Output is correct |
38 |
Correct |
726 ms |
8128 KB |
Output is correct |
39 |
Correct |
9 ms |
8128 KB |
Output is correct |
40 |
Correct |
13 ms |
8128 KB |
Output is correct |
41 |
Correct |
9 ms |
8128 KB |
Output is correct |
42 |
Correct |
13 ms |
8128 KB |
Output is correct |
43 |
Correct |
9 ms |
8128 KB |
Output is correct |
44 |
Correct |
13 ms |
8128 KB |
Output is correct |
45 |
Correct |
13 ms |
8128 KB |
Output is correct |
46 |
Correct |
13 ms |
8128 KB |
Output is correct |
47 |
Correct |
13 ms |
8128 KB |
Output is correct |
48 |
Correct |
13 ms |
8128 KB |
Output is correct |
49 |
Correct |
9 ms |
8128 KB |
Output is correct |
50 |
Correct |
6 ms |
8128 KB |
Output is correct |
51 |
Correct |
9 ms |
8128 KB |
Output is correct |
52 |
Correct |
9 ms |
8128 KB |
Output is correct |
53 |
Correct |
9 ms |
8128 KB |
Output is correct |
54 |
Correct |
6 ms |
8128 KB |
Output is correct |
55 |
Correct |
6 ms |
8128 KB |
Output is correct |
56 |
Correct |
6 ms |
8128 KB |
Output is correct |
57 |
Correct |
3 ms |
8128 KB |
Output is correct |
58 |
Correct |
6 ms |
8128 KB |
Output is correct |
59 |
Correct |
1449 ms |
8128 KB |
Output is correct |
60 |
Correct |
1333 ms |
8128 KB |
Output is correct |
61 |
Correct |
1296 ms |
8128 KB |
Output is correct |
62 |
Correct |
1323 ms |
8128 KB |
Output is correct |
63 |
Correct |
1293 ms |
8128 KB |
Output is correct |
64 |
Correct |
1619 ms |
8128 KB |
Output is correct |
65 |
Correct |
1749 ms |
8128 KB |
Output is correct |
66 |
Correct |
1576 ms |
8128 KB |
Output is correct |
67 |
Correct |
1673 ms |
8128 KB |
Output is correct |
68 |
Correct |
1799 ms |
8128 KB |
Output is correct |
69 |
Correct |
1246 ms |
8128 KB |
Output is correct |
70 |
Correct |
1163 ms |
8128 KB |
Output is correct |
71 |
Correct |
1116 ms |
8128 KB |
Output is correct |
72 |
Correct |
1116 ms |
8128 KB |
Output is correct |
73 |
Correct |
1026 ms |
8128 KB |
Output is correct |
74 |
Correct |
133 ms |
8128 KB |
Output is correct |
75 |
Correct |
133 ms |
8128 KB |
Output is correct |
76 |
Correct |
143 ms |
8128 KB |
Output is correct |
77 |
Correct |
149 ms |
8128 KB |
Output is correct |
78 |
Correct |
139 ms |
8128 KB |
Output is correct |