oj.uz

Submission #883087

# Submission time Handle Problem Language Result Execution time Memory
883087 2023-12-04T13:34:49 Z KN200711 Boat (APIO16_boat) C++14
100 / 100
 866 ms 1876 KB 
# include <bits/stdc++.h>
# define ll long long
# define fi first
# define se second
using namespace std;

const ll MOD = 1e9 + 7;

vector<int> seg[1100];
int l[1100], r[1100], len[1100];
bool V[501];
int num;

ll pref[1100], ad[1100], inv[1100];

ll fast(ll a, int b) {
	if(b == 0) return 1ll;
	if(b == 1) return a;
	ll K = fast(a, b / 2);
	K *= K;
	K %= MOD;
	if(b&1) {
		K *= a;
		K %= MOD;
	}
	return K;
}

void build() {
	inv[0] = 1;
	for(int i=1;i<1100;i++) {
		inv[i] = fast(i, MOD - 2);
	}
}

void fx(ll &a, ll c, ll d) {
	a *= c;
	a %= MOD;
	a *= inv[d];
	a %= MOD;
}

int main() {
	build();
	
	int N;
	scanf("%d", &N);
	
	vector< pair<int, int> > arr;
	arr.clear();
	for(int i=1;i<=N;i++) {
		int a, b;
		scanf("%d %d", &a, &b);
		arr.push_back(make_pair(a, i));
		arr.push_back(make_pair(b + 1, -i));
	}
	sort(arr.begin(), arr.end());
	int lst;
	for(int i=0;i<arr.size();i++) {
		if(i > 0 && arr[i].fi != arr[i - 1].fi) {
			l[num] = lst;
			r[num] = arr[i].fi - 1;
			len[num] = r[num] - l[num] + 1;
			for(int k=1;k<=N;k++) {
				if(V[k]) seg[num].push_back(k);
			}
			num++;
		}
		if(arr[i].se < 0) V[-arr[i].se] = 0;
		else V[arr[i].se] = 1;
		lst = arr[i].fi;
	}
	
	for(int i=0;i<=N;i++) pref[i] = 1ll;
	for(int i=0;i<num;i++) {
	//	cout<<l[i]<<" "<<r[i]<<endl;
		for(int k=1;k<=N;k++) ad[k] = 0ll;
		for(int k=1;k<=seg[i].size();k++) {
			ll as = 0ll;
			if(k == 1) {
				as = len[i];
			} else if(len[i] >= 2) {
				ll v = 1ll;
				fx(v, len[i], 1ll);
				fx(v, len[i] - 1, 2ll);
				for(int c=0;;c++) {
					as += v;
					as %= MOD;
					if(len[i] < c + 2) break;
					if(k < c + 2) break;
					fx(v, len[i] - c - 2ll, c + 3ll);
					fx(v, k - c - 2ll, c + 1ll);
				}
			}
		//	cout<<"as : "<<i<<" "<<k<<" "<<as<<endl;
			for(int c=0;c+k-1<seg[i].size();c++) {
				ll D = as * pref[seg[i][c] - 1];
				D %= MOD;
				ad[seg[i][c + k - 1]] += D;
				ad[seg[i][c + k - 1]] %= MOD;
			}
		}
		ll kp = 0ll;
		for(int k = 1;k<=N;k++) {
		//	cout<<i<<" "<<k<<" "<<ad[k]<<endl;
			kp += ad[k];
			kp %= MOD;
			pref[k] += kp;
			pref[k] %= MOD;
		}
	}
	pref[N]--;
	if(pref[N] < 0) pref[N] += MOD;
	printf("%lld\n", pref[N]);
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:59:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   59 |  for(int i=0;i<arr.size();i++) {
      |              ~^~~~~~~~~~~
boat.cpp:78:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   78 |   for(int k=1;k<=seg[i].size();k++) {
      |               ~^~~~~~~~~~~~~~~
boat.cpp:96:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   96 |    for(int c=0;c+k-1<seg[i].size();c++) {
      |                ~~~~~^~~~~~~~~~~~~~
boat.cpp:47:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   47 |  scanf("%d", &N);
      |  ~~~~~^~~~~~~~~~
boat.cpp:53:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   53 |   scanf("%d %d", &a, &b);
      |   ~~~~~^~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 348 KB Output is correct
2 Correct 4 ms 348 KB Output is correct
3 Correct 3 ms 348 KB Output is correct
4 Correct 3 ms 348 KB Output is correct
5 Correct 3 ms 348 KB Output is correct
6 Correct 3 ms 348 KB Output is correct
7 Correct 3 ms 348 KB Output is correct
8 Correct 3 ms 348 KB Output is correct
9 Correct 3 ms 348 KB Output is correct
10 Correct 3 ms 348 KB Output is correct
11 Correct 3 ms 348 KB Output is correct
12 Correct 3 ms 348 KB Output is correct
13 Correct 3 ms 348 KB Output is correct
14 Correct 3 ms 348 KB Output is correct
15 Correct 3 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 1 ms 348 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 348 KB Output is correct
2 Correct 4 ms 348 KB Output is correct
3 Correct 3 ms 348 KB Output is correct
4 Correct 3 ms 348 KB Output is correct
5 Correct 3 ms 348 KB Output is correct
6 Correct 3 ms 348 KB Output is correct
7 Correct 3 ms 348 KB Output is correct
8 Correct 3 ms 348 KB Output is correct
9 Correct 3 ms 348 KB Output is correct
10 Correct 3 ms 348 KB Output is correct
11 Correct 3 ms 348 KB Output is correct
12 Correct 3 ms 348 KB Output is correct
13 Correct 3 ms 348 KB Output is correct
14 Correct 3 ms 348 KB Output is correct
15 Correct 3 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 70 ms 1296 KB Output is correct
22 Correct 67 ms 1340 KB Output is correct
23 Correct 59 ms 1228 KB Output is correct
24 Correct 66 ms 1116 KB Output is correct
25 Correct 68 ms 1276 KB Output is correct
26 Correct 135 ms 1876 KB Output is correct
27 Correct 137 ms 1628 KB Output is correct
28 Correct 135 ms 1652 KB Output is correct
29 Correct 136 ms 1648 KB Output is correct
30 Correct 3 ms 348 KB Output is correct
31 Correct 3 ms 348 KB Output is correct
32 Correct 3 ms 548 KB Output is correct
33 Correct 3 ms 348 KB Output is correct
34 Correct 3 ms 348 KB Output is correct
35 Correct 3 ms 348 KB Output is correct
36 Correct 3 ms 348 KB Output is correct
37 Correct 3 ms 348 KB Output is correct
38 Correct 3 ms 348 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 348 KB Output is correct
2 Correct 2 ms 348 KB Output is correct
3 Correct 3 ms 348 KB Output is correct
4 Correct 3 ms 348 KB Output is correct
5 Correct 4 ms 348 KB Output is correct
6 Correct 7 ms 348 KB Output is correct
7 Correct 7 ms 348 KB Output is correct
8 Correct 8 ms 348 KB Output is correct
9 Correct 7 ms 348 KB Output is correct
10 Correct 7 ms 348 KB Output is correct
11 Correct 4 ms 348 KB Output is correct
12 Correct 3 ms 344 KB Output is correct
13 Correct 4 ms 348 KB Output is correct
14 Correct 4 ms 348 KB Output is correct
15 Correct 4 ms 348 KB Output is correct
16 Correct 2 ms 348 KB Output is correct
17 Correct 2 ms 348 KB Output is correct
18 Correct 2 ms 348 KB Output is correct
19 Correct 2 ms 348 KB Output is correct
20 Correct 2 ms 348 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 348 KB Output is correct
2 Correct 4 ms 348 KB Output is correct
3 Correct 3 ms 348 KB Output is correct
4 Correct 3 ms 348 KB Output is correct
5 Correct 3 ms 348 KB Output is correct
6 Correct 3 ms 348 KB Output is correct
7 Correct 3 ms 348 KB Output is correct
8 Correct 3 ms 348 KB Output is correct
9 Correct 3 ms 348 KB Output is correct
10 Correct 3 ms 348 KB Output is correct
11 Correct 3 ms 348 KB Output is correct
12 Correct 3 ms 348 KB Output is correct
13 Correct 3 ms 348 KB Output is correct
14 Correct 3 ms 348 KB Output is correct
15 Correct 3 ms 348 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 344 KB Output is correct
19 Correct 1 ms 344 KB Output is correct
20 Correct 1 ms 348 KB Output is correct
21 Correct 70 ms 1296 KB Output is correct
22 Correct 67 ms 1340 KB Output is correct
23 Correct 59 ms 1228 KB Output is correct
24 Correct 66 ms 1116 KB Output is correct
25 Correct 68 ms 1276 KB Output is correct
26 Correct 135 ms 1876 KB Output is correct
27 Correct 137 ms 1628 KB Output is correct
28 Correct 135 ms 1652 KB Output is correct
29 Correct 136 ms 1648 KB Output is correct
30 Correct 3 ms 348 KB Output is correct
31 Correct 3 ms 348 KB Output is correct
32 Correct 3 ms 548 KB Output is correct
33 Correct 3 ms 348 KB Output is correct
34 Correct 3 ms 348 KB Output is correct
35 Correct 3 ms 348 KB Output is correct
36 Correct 3 ms 348 KB Output is correct
37 Correct 3 ms 348 KB Output is correct
38 Correct 3 ms 348 KB Output is correct
39 Correct 4 ms 348 KB Output is correct
40 Correct 2 ms 348 KB Output is correct
41 Correct 3 ms 348 KB Output is correct
42 Correct 3 ms 348 KB Output is correct
43 Correct 4 ms 348 KB Output is correct
44 Correct 7 ms 348 KB Output is correct
45 Correct 7 ms 348 KB Output is correct
46 Correct 8 ms 348 KB Output is correct
47 Correct 7 ms 348 KB Output is correct
48 Correct 7 ms 348 KB Output is correct
49 Correct 4 ms 348 KB Output is correct
50 Correct 3 ms 344 KB Output is correct
51 Correct 4 ms 348 KB Output is correct
52 Correct 4 ms 348 KB Output is correct
53 Correct 4 ms 348 KB Output is correct
54 Correct 2 ms 348 KB Output is correct
55 Correct 2 ms 348 KB Output is correct
56 Correct 2 ms 348 KB Output is correct
57 Correct 2 ms 348 KB Output is correct
58 Correct 2 ms 348 KB Output is correct
59 Correct 363 ms 1372 KB Output is correct
60 Correct 324 ms 1364 KB Output is correct
61 Correct 310 ms 1116 KB Output is correct
62 Correct 376 ms 1492 KB Output is correct
63 Correct 347 ms 1116 KB Output is correct
64 Correct 855 ms 1824 KB Output is correct
65 Correct 858 ms 1820 KB Output is correct
66 Correct 866 ms 1824 KB Output is correct
67 Correct 862 ms 1824 KB Output is correct
68 Correct 854 ms 1820 KB Output is correct
69 Correct 310 ms 1296 KB Output is correct
70 Correct 318 ms 1116 KB Output is correct
71 Correct 315 ms 1300 KB Output is correct
72 Correct 333 ms 1304 KB Output is correct
73 Correct 338 ms 1304 KB Output is correct
74 Correct 43 ms 604 KB Output is correct
75 Correct 39 ms 604 KB Output is correct
76 Correct 42 ms 604 KB Output is correct
77 Correct 42 ms 604 KB Output is correct
78 Correct 44 ms 604 KB Output is correct