oj.uz

Submission #754834

# Submission time Handle Problem Language Result Execution time Memory
754834 2023-06-08T17:13:37 Z denniskim Boat (APIO16_boat) C++17
100 / 100
 1427 ms 12352 KB 
#include <bits/stdc++.h>
#pragma GCC optimize ("O3")
#pragma GCC optimize ("unroll-loops")
 
using namespace std;
typedef long long ll;
typedef __int128 lll;
typedef long double ld;
typedef pair<ll, ll> pll;
typedef pair<ld, ld> pld;
#define MAX 9223372036854775807LL
#define MIN -9223372036854775807LL
#define INF 0x3f3f3f3f3f3f3f3f
#define fi first
#define se second
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cout << fixed; cout.precision(10);
#define sp << " "
#define en << "\n"
#define compress(v) sort(v.begin(), v.end()), v.erase(unique(v.begin(), v.end()), v.end())
 
inline int readChar();
template<class T = int> inline T readInt();
template<class T> inline void writeInt(T x, char end = 0);
inline void writeChar(int x);
inline void writeWord(const char *s);
static const int buf_size = 1 << 18;
inline int getChar(){
    #ifndef LOCAL
    static char buf[buf_size];
    static int len = 0, pos = 0;
    if(pos == len) pos = 0, len = fread(buf, 1, buf_size, stdin);
    if(pos == len) return -1;
    return buf[pos++];
    #endif
}
inline int readChar(){
    #ifndef LOCAL
    int c = getChar();
    while(c <= 32) c = getChar();
    return c;
    #else
    char c; cin >> c; return c;
    #endif
}
template <class T>
inline T readInt(){
    #ifndef LOCAL
    int s = 1, c = readChar();
    T x = 0;
    if(c == '-') s = -1, c = getChar();
    while('0' <= c && c <= '9') x = x * 10 + c - '0', c = getChar();
    return s == 1 ? x : -x;
    #else
    T x; cin >> x; return x;
    #endif
}
static int write_pos = 0;
static char write_buf[buf_size];
inline void writeChar(int x){
    if(write_pos == buf_size) fwrite(write_buf, 1, buf_size, stdout), write_pos = 0;
    write_buf[write_pos++] = x;
}
template <class T>
inline void writeInt(T x, char end){
    if(x < 0) writeChar('-'), x = -x;
    char s[24]; int n = 0;
    while(x || !n) s[n++] = '0' + x % 10, x /= 10;
    while(n--) writeChar(s[n]);
    if(end) writeChar(end);
}
inline void writeWord(const char *s){
    while(*s) writeChar(*s++);
}
struct Flusher{
    ~Flusher(){ if(write_pos) fwrite(write_buf, 1, write_pos, stdout), write_pos = 0; }
}flusher;
 
ll n;
pll a[1010];
ll ss = 1000000007;
ll inv[1010];
vector<int> zip;
ll dp[1010][1010];
int sum[1010][1010];
ll LC[1010];
ll xjc[1010];
int num[1010];
 
ll sqrmtp(ll X, ll Y)
{
	ll ret = 1;
	
	while(Y)
	{
		if(Y & 1)
			ret = ret * X % ss;
		
		X = X * X % ss;
		Y >>= 1;
	}
	
	return ret;
}
 
int main(void)
{
	fastio
	
	n = readInt();
	
	for(ll i = 1 ; i <= n ; ++i)
	{
		a[i].fi = readInt();
		a[i].se = readInt();
		
		zip.push_back(a[i].fi);
		zip.push_back(a[i].se + 1);
	}
	
	for(ll i = 1 ; i <= n ; ++i)
		inv[i] = sqrmtp(i, ss - 2);
	
	compress(zip);
	
	dp[0][0] = 1;
	sum[0][0] = 1;
	
	for(ll i = 1 ; i <= n ; ++i)
		sum[0][i] = 1;
	
	ll siz = (ll)zip.size();
	
	for(ll i = 1 ; i < siz ; ++i)
	{
		ll siz2 = 0;
		
		for(ll j = 1 ; j <= n ; ++j)
		{
			if(a[j].fi <= zip[i - 1] && zip[i] - 1 <= a[j].se)
				num[siz2++] = j;
		}
		
		ll L = zip[i] - zip[i - 1];
		LC[0] = 1;
		
		for(ll j = 1 ; j <= n ; ++j)
		{
			if(L <= 0)
				break;
			
			LC[j] = LC[j - 1] * L % ss * inv[j] % ss;
			L--;
		}
		
		L = zip[i] - zip[i - 1];
		
		for(ll j = 0 ; j <= siz2 - 2 ; ++j)
		{
			ll gap = j;
			ll gap2 = 1;
			
			xjc[j] = 0;
			
			if(L <= 1)
				break;
			
			xjc[j] = LC[2];
			
			for(ll k = 1 ; ; ++k)
			{
				if(k + 2 > L || k > j)
					break;
				
				gap2 = gap2 * gap % ss * inv[k] % ss;
				--gap;
				xjc[j] = (xjc[j] + gap2 * LC[k + 2]) % ss;
			}
		}
		
		for(ll j = 0 ; j < siz2 ; ++j)
		{
			dp[i][num[j]] = (dp[i][num[j]] + sum[i - 1][num[j] - 1] * LC[1]) % ss;
			
			if(L >= 2)
			{
				for(ll k = 0 ; k < j ; ++k)
					dp[i][num[j]] = (dp[i][num[j]] + sum[i - 1][num[k] - 1] * xjc[j - k - 1]) % ss;
			}
		}
		
		for(ll j = 0 ; j <= n ; ++j)
			dp[i][j] = (dp[i][j] + dp[i - 1][j]) % ss;
		
		sum[i][0] = dp[i][0];
		
		for(ll j = 1 ; j <= n ; ++j)
			sum[i][j] = (sum[i][j - 1] + dp[i][j]) % ss;
	}
	
	sum[siz - 1][n]--;
	sum[siz - 1][n] = (sum[siz - 1][n] % ss + ss) % ss;
	
	cout << sum[siz - 1][n];
	return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 12244 KB Output is correct
2 Correct 18 ms 12188 KB Output is correct
3 Correct 19 ms 12240 KB Output is correct
4 Correct 17 ms 12208 KB Output is correct
5 Correct 17 ms 12244 KB Output is correct
6 Correct 17 ms 12160 KB Output is correct
7 Correct 17 ms 12244 KB Output is correct
8 Correct 17 ms 12244 KB Output is correct
9 Correct 18 ms 12244 KB Output is correct
10 Correct 17 ms 12208 KB Output is correct
11 Correct 17 ms 12244 KB Output is correct
12 Correct 16 ms 12156 KB Output is correct
13 Correct 16 ms 12152 KB Output is correct
14 Correct 17 ms 12116 KB Output is correct
15 Correct 17 ms 12140 KB Output is correct
16 Correct 3 ms 2388 KB Output is correct
17 Correct 4 ms 2568 KB Output is correct
18 Correct 4 ms 2516 KB Output is correct
19 Correct 4 ms 2644 KB Output is correct
20 Correct 4 ms 2516 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 12244 KB Output is correct
2 Correct 18 ms 12188 KB Output is correct
3 Correct 19 ms 12240 KB Output is correct
4 Correct 17 ms 12208 KB Output is correct
5 Correct 17 ms 12244 KB Output is correct
6 Correct 17 ms 12160 KB Output is correct
7 Correct 17 ms 12244 KB Output is correct
8 Correct 17 ms 12244 KB Output is correct
9 Correct 18 ms 12244 KB Output is correct
10 Correct 17 ms 12208 KB Output is correct
11 Correct 17 ms 12244 KB Output is correct
12 Correct 16 ms 12156 KB Output is correct
13 Correct 16 ms 12152 KB Output is correct
14 Correct 17 ms 12116 KB Output is correct
15 Correct 17 ms 12140 KB Output is correct
16 Correct 3 ms 2388 KB Output is correct
17 Correct 4 ms 2568 KB Output is correct
18 Correct 4 ms 2516 KB Output is correct
19 Correct 4 ms 2644 KB Output is correct
20 Correct 4 ms 2516 KB Output is correct
21 Correct 110 ms 11088 KB Output is correct
22 Correct 105 ms 11256 KB Output is correct
23 Correct 95 ms 11088 KB Output is correct
24 Correct 125 ms 10964 KB Output is correct
25 Correct 111 ms 11076 KB Output is correct
26 Correct 203 ms 10752 KB Output is correct
27 Correct 213 ms 10956 KB Output is correct
28 Correct 216 ms 10768 KB Output is correct
29 Correct 228 ms 10792 KB Output is correct
30 Correct 17 ms 12116 KB Output is correct
31 Correct 15 ms 12236 KB Output is correct
32 Correct 15 ms 12116 KB Output is correct
33 Correct 18 ms 12244 KB Output is correct
34 Correct 16 ms 12116 KB Output is correct
35 Correct 17 ms 12108 KB Output is correct
36 Correct 17 ms 12152 KB Output is correct
37 Correct 19 ms 12096 KB Output is correct
38 Correct 16 ms 12116 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 2004 KB Output is correct
2 Correct 5 ms 2004 KB Output is correct
3 Correct 6 ms 2092 KB Output is correct
4 Correct 6 ms 2004 KB Output is correct
5 Correct 6 ms 2004 KB Output is correct
6 Correct 13 ms 2092 KB Output is correct
7 Correct 12 ms 2004 KB Output is correct
8 Correct 12 ms 2004 KB Output is correct
9 Correct 13 ms 2004 KB Output is correct
10 Correct 12 ms 2004 KB Output is correct
11 Correct 7 ms 2024 KB Output is correct
12 Correct 5 ms 2004 KB Output is correct
13 Correct 6 ms 2004 KB Output is correct
14 Correct 7 ms 2004 KB Output is correct
15 Correct 6 ms 2000 KB Output is correct
16 Correct 3 ms 1364 KB Output is correct
17 Correct 3 ms 1364 KB Output is correct
18 Correct 3 ms 1364 KB Output is correct
19 Correct 3 ms 1364 KB Output is correct
20 Correct 4 ms 1236 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 12244 KB Output is correct
2 Correct 18 ms 12188 KB Output is correct
3 Correct 19 ms 12240 KB Output is correct
4 Correct 17 ms 12208 KB Output is correct
5 Correct 17 ms 12244 KB Output is correct
6 Correct 17 ms 12160 KB Output is correct
7 Correct 17 ms 12244 KB Output is correct
8 Correct 17 ms 12244 KB Output is correct
9 Correct 18 ms 12244 KB Output is correct
10 Correct 17 ms 12208 KB Output is correct
11 Correct 17 ms 12244 KB Output is correct
12 Correct 16 ms 12156 KB Output is correct
13 Correct 16 ms 12152 KB Output is correct
14 Correct 17 ms 12116 KB Output is correct
15 Correct 17 ms 12140 KB Output is correct
16 Correct 3 ms 2388 KB Output is correct
17 Correct 4 ms 2568 KB Output is correct
18 Correct 4 ms 2516 KB Output is correct
19 Correct 4 ms 2644 KB Output is correct
20 Correct 4 ms 2516 KB Output is correct
21 Correct 110 ms 11088 KB Output is correct
22 Correct 105 ms 11256 KB Output is correct
23 Correct 95 ms 11088 KB Output is correct
24 Correct 125 ms 10964 KB Output is correct
25 Correct 111 ms 11076 KB Output is correct
26 Correct 203 ms 10752 KB Output is correct
27 Correct 213 ms 10956 KB Output is correct
28 Correct 216 ms 10768 KB Output is correct
29 Correct 228 ms 10792 KB Output is correct
30 Correct 17 ms 12116 KB Output is correct
31 Correct 15 ms 12236 KB Output is correct
32 Correct 15 ms 12116 KB Output is correct
33 Correct 18 ms 12244 KB Output is correct
34 Correct 16 ms 12116 KB Output is correct
35 Correct 17 ms 12108 KB Output is correct
36 Correct 17 ms 12152 KB Output is correct
37 Correct 19 ms 12096 KB Output is correct
38 Correct 16 ms 12116 KB Output is correct
39 Correct 6 ms 2004 KB Output is correct
40 Correct 5 ms 2004 KB Output is correct
41 Correct 6 ms 2092 KB Output is correct
42 Correct 6 ms 2004 KB Output is correct
43 Correct 6 ms 2004 KB Output is correct
44 Correct 13 ms 2092 KB Output is correct
45 Correct 12 ms 2004 KB Output is correct
46 Correct 12 ms 2004 KB Output is correct
47 Correct 13 ms 2004 KB Output is correct
48 Correct 12 ms 2004 KB Output is correct
49 Correct 7 ms 2024 KB Output is correct
50 Correct 5 ms 2004 KB Output is correct
51 Correct 6 ms 2004 KB Output is correct
52 Correct 7 ms 2004 KB Output is correct
53 Correct 6 ms 2000 KB Output is correct
54 Correct 3 ms 1364 KB Output is correct
55 Correct 3 ms 1364 KB Output is correct
56 Correct 3 ms 1364 KB Output is correct
57 Correct 3 ms 1364 KB Output is correct
58 Correct 4 ms 1236 KB Output is correct
59 Correct 608 ms 12184 KB Output is correct
60 Correct 563 ms 12176 KB Output is correct
61 Correct 504 ms 12260 KB Output is correct
62 Correct 608 ms 12156 KB Output is correct
63 Correct 572 ms 12232 KB Output is correct
64 Correct 1403 ms 12324 KB Output is correct
65 Correct 1398 ms 12276 KB Output is correct
66 Correct 1375 ms 12352 KB Output is correct
67 Correct 1427 ms 12284 KB Output is correct
68 Correct 1370 ms 12168 KB Output is correct
69 Correct 497 ms 12320 KB Output is correct
70 Correct 513 ms 12140 KB Output is correct
71 Correct 542 ms 12200 KB Output is correct
72 Correct 543 ms 12244 KB Output is correct
73 Correct 531 ms 12108 KB Output is correct
74 Correct 61 ms 2416 KB Output is correct
75 Correct 55 ms 2504 KB Output is correct
76 Correct 58 ms 2532 KB Output is correct
77 Correct 59 ms 2512 KB Output is correct
78 Correct 62 ms 2508 KB Output is correct