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Submission #425320

# Submission time Handle Problem Language Result Execution time Memory
425320 2021-06-12T21:20:41 Z ksun48 Boat (APIO16_boat) C++14
58 / 100
 1423 ms 30388 KB 
#include<bits/stdc++.h>
#define MOD 1000000007
using namespace std;
typedef long long LL;
LL n;
LL a[1100];
LL b[1100];
LL included[1100][1100];
LL length[1100];
LL dp[2][1100][1100];
LL lenchoose[1100][1100];
LL invlist[1100];
LL powmod(LL z1, LL e){
	if(e == 0) return 1;
	LL c = powmod(z1,e/2);
	c = (c*c) % MOD;
	if(e % 2 == 0) return c;
	return (c*z1)%MOD;
}
LL inv(LL z1){
	return powmod(z1,MOD-2) % MOD;
}

int main(){
	set<LL> st;
	cin >> n;
	st.insert(0);
	st.insert(1);
	int t1 = 0;
	for(int i = 1; i <= n; i++){
		cin >> a[i] >> b[i];
		st.insert(a[i]);
		st.insert(b[i]+1);
		t1 += b[i]-a[i];
	}
	st.insert(1000000005);
	st.insert(1000000006);
	int cur = 0;
	for(int i = 1; i < 1100; i++){
		invlist[i] = inv(i);
	}
	/*if(t1 <= 1000000){
		return 0;
	}*/
	while(st.size() >= 2){
		set<LL>::iterator c = st.begin();
		int l = *c;
		c++;
		int r = *c;
		st.erase(st.begin());
		included[0][cur] = 0;
		included[n+1][cur] = 0;
		length[cur] = r-l;
		for(int i = 1; i <= n; i++){
			if(a[i] <= l && r-1 <= b[i]){
				included[i][cur] = 1;
			} else {
				included[i][cur] = 0;
			}
		}
		cur++;
	}
	included[0][0] = 1;	
	included[n+1][cur-1] = 1;
	dp[0][0][1] = 1;
	for(int i = 0; i < cur; i++){
		int l = length[i];
		for(int j = 0; j < 510; j++){
			if(j > l){
				lenchoose[i][j] = 0;
			} else if(j == 0){
				lenchoose[i][j] = 1;
			} else {
				lenchoose[i][j] = lenchoose[i][j-1];
				lenchoose[i][j] *= (LL)(l-j+1);
				lenchoose[i][j] %= MOD;
				lenchoose[i][j] *= invlist[j];
				lenchoose[i][j] %= MOD;
			}
		}
	}
	for(int s = 0; s <= n; s++){
		for(int j = 0; j < 1100; j++){
			for(int k = 0; k < 510; k++){
				dp[1-s%2][j][k] = 0;
			}
		}
		LL r = 0;
		for(int l = 1; l < cur; l++){
			for(int k = 1; k <= cur && k <= 510; k++) if(dp[s%2][l-1][k] != 0){
				r += lenchoose[l-1][k]*dp[s%2][l-1][k];
				r %= MOD;
			}
			dp[1-s%2][l][1] = r;
		}
		for(int l = 0; l < cur; l++){
			if(!included[s+1][l]){
				dp[1-s%2][l][1] = 0;
			}
		}
		int aa = s % 2;
		int bb = 1 - s % 2;
		for(int j = 0; j < cur; j++){
			for(int k = 1; k <= s+2; k++) if(dp[aa][j][k]) {
				dp[bb][j][k] += dp[aa][j][k];
				if(dp[bb][j][k] >= MOD) dp[bb][j][k] -= MOD;
				if(included[s+1][j]){
					dp[bb][j][k+1] += dp[aa][j][k];
					if(dp[bb][j][k+1] >= MOD) dp[bb][j][k+1] -= MOD;
				}
			}
		}
	}
	cout << (dp[1-n%2][cur-1][1]+MOD-1) % MOD << endl;
	return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1095 ms 30260 KB Output is correct
2 Correct 935 ms 30280 KB Output is correct
3 Correct 1016 ms 30264 KB Output is correct
4 Correct 966 ms 30276 KB Output is correct
5 Correct 847 ms 30284 KB Output is correct
6 Correct 992 ms 30284 KB Output is correct
7 Correct 991 ms 30388 KB Output is correct
8 Correct 1048 ms 30168 KB Output is correct
9 Correct 907 ms 30284 KB Output is correct
10 Correct 888 ms 30272 KB Output is correct
11 Correct 918 ms 30268 KB Output is correct
12 Correct 910 ms 30284 KB Output is correct
13 Correct 1002 ms 30276 KB Output is correct
14 Correct 792 ms 30276 KB Output is correct
15 Correct 923 ms 30264 KB Output is correct
16 Correct 551 ms 22028 KB Output is correct
17 Correct 464 ms 22220 KB Output is correct
18 Correct 485 ms 22116 KB Output is correct
19 Correct 532 ms 22220 KB Output is correct
20 Correct 517 ms 22212 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1095 ms 30260 KB Output is correct
2 Correct 935 ms 30280 KB Output is correct
3 Correct 1016 ms 30264 KB Output is correct
4 Correct 966 ms 30276 KB Output is correct
5 Correct 847 ms 30284 KB Output is correct
6 Correct 992 ms 30284 KB Output is correct
7 Correct 991 ms 30388 KB Output is correct
8 Correct 1048 ms 30168 KB Output is correct
9 Correct 907 ms 30284 KB Output is correct
10 Correct 888 ms 30272 KB Output is correct
11 Correct 918 ms 30268 KB Output is correct
12 Correct 910 ms 30284 KB Output is correct
13 Correct 1002 ms 30276 KB Output is correct
14 Correct 792 ms 30276 KB Output is correct
15 Correct 923 ms 30264 KB Output is correct
16 Correct 551 ms 22028 KB Output is correct
17 Correct 464 ms 22220 KB Output is correct
18 Correct 485 ms 22116 KB Output is correct
19 Correct 532 ms 22220 KB Output is correct
20 Correct 517 ms 22212 KB Output is correct
21 Correct 1212 ms 29560 KB Output is correct
22 Correct 1208 ms 29684 KB Output is correct
23 Correct 981 ms 29520 KB Output is correct
24 Correct 1209 ms 29388 KB Output is correct
25 Correct 1155 ms 29516 KB Output is correct
26 Correct 1082 ms 29260 KB Output is correct
27 Correct 1295 ms 29416 KB Output is correct
28 Correct 1116 ms 29300 KB Output is correct
29 Correct 1173 ms 29260 KB Output is correct
30 Correct 983 ms 30156 KB Output is correct
31 Correct 896 ms 30284 KB Output is correct
32 Correct 840 ms 30268 KB Output is correct
33 Correct 945 ms 30260 KB Output is correct
34 Correct 989 ms 30208 KB Output is correct
35 Correct 995 ms 30244 KB Output is correct
36 Correct 887 ms 30244 KB Output is correct
37 Correct 1010 ms 30244 KB Output is correct
38 Correct 954 ms 30228 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 106 ms 20076 KB Output is correct
2 Correct 117 ms 20004 KB Output is correct
3 Correct 117 ms 20060 KB Output is correct
4 Correct 154 ms 20044 KB Output is correct
5 Correct 121 ms 20060 KB Output is correct
6 Correct 116 ms 20060 KB Output is correct
7 Correct 115 ms 20064 KB Output is correct
8 Correct 97 ms 20060 KB Output is correct
9 Correct 89 ms 20064 KB Output is correct
10 Correct 107 ms 20044 KB Output is correct
11 Correct 124 ms 20016 KB Output is correct
12 Correct 113 ms 20044 KB Output is correct
13 Correct 125 ms 20064 KB Output is correct
14 Correct 100 ms 20168 KB Output is correct
15 Correct 124 ms 19964 KB Output is correct
16 Correct 129 ms 19364 KB Output is correct
17 Correct 114 ms 19276 KB Output is correct
18 Correct 115 ms 19324 KB Output is correct
19 Correct 89 ms 19316 KB Output is correct
20 Correct 95 ms 19276 KB Output is correct

Subtask #4
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1095 ms 30260 KB Output is correct
2 Correct 935 ms 30280 KB Output is correct
3 Correct 1016 ms 30264 KB Output is correct
4 Correct 966 ms 30276 KB Output is correct
5 Correct 847 ms 30284 KB Output is correct
6 Correct 992 ms 30284 KB Output is correct
7 Correct 991 ms 30388 KB Output is correct
8 Correct 1048 ms 30168 KB Output is correct
9 Correct 907 ms 30284 KB Output is correct
10 Correct 888 ms 30272 KB Output is correct
11 Correct 918 ms 30268 KB Output is correct
12 Correct 910 ms 30284 KB Output is correct
13 Correct 1002 ms 30276 KB Output is correct
14 Correct 792 ms 30276 KB Output is correct
15 Correct 923 ms 30264 KB Output is correct
16 Correct 551 ms 22028 KB Output is correct
17 Correct 464 ms 22220 KB Output is correct
18 Correct 485 ms 22116 KB Output is correct
19 Correct 532 ms 22220 KB Output is correct
20 Correct 517 ms 22212 KB Output is correct
21 Correct 1212 ms 29560 KB Output is correct
22 Correct 1208 ms 29684 KB Output is correct
23 Correct 981 ms 29520 KB Output is correct
24 Correct 1209 ms 29388 KB Output is correct
25 Correct 1155 ms 29516 KB Output is correct
26 Correct 1082 ms 29260 KB Output is correct
27 Correct 1295 ms 29416 KB Output is correct
28 Correct 1116 ms 29300 KB Output is correct
29 Correct 1173 ms 29260 KB Output is correct
30 Correct 983 ms 30156 KB Output is correct
31 Correct 896 ms 30284 KB Output is correct
32 Correct 840 ms 30268 KB Output is correct
33 Correct 945 ms 30260 KB Output is correct
34 Correct 989 ms 30208 KB Output is correct
35 Correct 995 ms 30244 KB Output is correct
36 Correct 887 ms 30244 KB Output is correct
37 Correct 1010 ms 30244 KB Output is correct
38 Correct 954 ms 30228 KB Output is correct
39 Correct 106 ms 20076 KB Output is correct
40 Correct 117 ms 20004 KB Output is correct
41 Correct 117 ms 20060 KB Output is correct
42 Correct 154 ms 20044 KB Output is correct
43 Correct 121 ms 20060 KB Output is correct
44 Correct 116 ms 20060 KB Output is correct
45 Correct 115 ms 20064 KB Output is correct
46 Correct 97 ms 20060 KB Output is correct
47 Correct 89 ms 20064 KB Output is correct
48 Correct 107 ms 20044 KB Output is correct
49 Correct 124 ms 20016 KB Output is correct
50 Correct 113 ms 20044 KB Output is correct
51 Correct 125 ms 20064 KB Output is correct
52 Correct 100 ms 20168 KB Output is correct
53 Correct 124 ms 19964 KB Output is correct
54 Correct 129 ms 19364 KB Output is correct
55 Correct 114 ms 19276 KB Output is correct
56 Correct 115 ms 19324 KB Output is correct
57 Correct 89 ms 19316 KB Output is correct
58 Correct 95 ms 19276 KB Output is correct
59 Correct 1318 ms 30264 KB Output is correct
60 Correct 1242 ms 30264 KB Output is correct
61 Correct 1098 ms 30284 KB Output is correct
62 Correct 1372 ms 30268 KB Output is correct
63 Correct 1110 ms 30284 KB Output is correct
64 Correct 1337 ms 30268 KB Output is correct
65 Correct 1423 ms 30288 KB Output is correct
66 Correct 1269 ms 30284 KB Output is correct
67 Correct 1234 ms 30268 KB Output is correct
68 Correct 1279 ms 30284 KB Output is correct
69 Correct 1258 ms 30348 KB Output is correct
70 Correct 1138 ms 30340 KB Output is correct
71 Correct 1369 ms 30284 KB Output is correct
72 Correct 1258 ms 30268 KB Output is correct
73 Correct 1392 ms 30260 KB Output is correct
74 Incorrect 466 ms 22092 KB Output isn't correct
75 Halted 0 ms 0 KB -