oj.uz

Submission #754839

# Submission time Handle Problem Language Result Execution time Memory
754839 2023-06-08T17:22:51 Z denniskim Boat (APIO16_boat) C++17
100 / 100
 1393 ms 12328 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;
 
int n;
pair<int, int> a[1010];
int ss = 1000000007;
int 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(int 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(int i = 1 ; i <= n ; ++i)
		inv[i] = sqrmtp(i, ss - 2);
	
	compress(zip);
	
	dp[0][0] = 1;
	sum[0][0] = 1;
	
	for(int i = 1 ; i <= n ; ++i)
		sum[0][i] = 1;
	
	int siz = (ll)zip.size();
	
	for(int i = 1 ; i < siz ; ++i)
	{
		int siz2 = 0;
		
		for(int j = 1 ; j <= n ; ++j)
		{
			if(a[j].fi <= zip[i - 1] && zip[i] - 1 <= a[j].se)
				num[siz2++] = j;
		}
		
		int L = zip[i] - zip[i - 1];
		LC[0] = 1;
		
		for(int j = 1 ; j <= siz2 ; ++j)
		{
			if(L <= 0)
				break;
			
			LC[j] = LC[j - 1] * L % ss * inv[j] % ss;
			L--;
		}
		
		L = zip[i] - zip[i - 1];
		
		for(int j = 0 ; j <= siz2 - 2 ; ++j)
		{
			ll gap = j;
			ll gap2 = 1;
			
			xjc[j] = 0;
			
			if(L <= 1)
				break;
			
			xjc[j] = LC[2];
			
			for(int 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(int 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(int 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(int j = 0 ; j <= n ; ++j)
			dp[i][j] = (dp[i][j] + dp[i - 1][j]) % ss;
		
		sum[i][0] = dp[i][0];
		
		for(int 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 13 ms 12116 KB Output is correct
2 Correct 13 ms 12116 KB Output is correct
3 Correct 12 ms 12192 KB Output is correct
4 Correct 12 ms 12116 KB Output is correct
5 Correct 13 ms 12116 KB Output is correct
6 Correct 12 ms 12116 KB Output is correct
7 Correct 12 ms 12116 KB Output is correct
8 Correct 12 ms 12116 KB Output is correct
9 Correct 16 ms 12136 KB Output is correct
10 Correct 13 ms 12116 KB Output is correct
11 Correct 12 ms 12180 KB Output is correct
12 Correct 12 ms 12168 KB Output is correct
13 Correct 12 ms 12200 KB Output is correct
14 Correct 12 ms 12240 KB Output is correct
15 Correct 13 ms 12136 KB Output is correct
16 Correct 3 ms 2388 KB Output is correct
17 Correct 3 ms 2644 KB Output is correct
18 Correct 3 ms 2516 KB Output is correct
19 Correct 3 ms 2644 KB Output is correct
20 Correct 3 ms 2484 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 12116 KB Output is correct
2 Correct 13 ms 12116 KB Output is correct
3 Correct 12 ms 12192 KB Output is correct
4 Correct 12 ms 12116 KB Output is correct
5 Correct 13 ms 12116 KB Output is correct
6 Correct 12 ms 12116 KB Output is correct
7 Correct 12 ms 12116 KB Output is correct
8 Correct 12 ms 12116 KB Output is correct
9 Correct 16 ms 12136 KB Output is correct
10 Correct 13 ms 12116 KB Output is correct
11 Correct 12 ms 12180 KB Output is correct
12 Correct 12 ms 12168 KB Output is correct
13 Correct 12 ms 12200 KB Output is correct
14 Correct 12 ms 12240 KB Output is correct
15 Correct 13 ms 12136 KB Output is correct
16 Correct 3 ms 2388 KB Output is correct
17 Correct 3 ms 2644 KB Output is correct
18 Correct 3 ms 2516 KB Output is correct
19 Correct 3 ms 2644 KB Output is correct
20 Correct 3 ms 2484 KB Output is correct
21 Correct 116 ms 11056 KB Output is correct
22 Correct 115 ms 11200 KB Output is correct
23 Correct 101 ms 11008 KB Output is correct
24 Correct 114 ms 10916 KB Output is correct
25 Correct 117 ms 11180 KB Output is correct
26 Correct 211 ms 10768 KB Output is correct
27 Correct 212 ms 10924 KB Output is correct
28 Correct 216 ms 10696 KB Output is correct
29 Correct 214 ms 10716 KB Output is correct
30 Correct 12 ms 12116 KB Output is correct
31 Correct 12 ms 12116 KB Output is correct
32 Correct 12 ms 12116 KB Output is correct
33 Correct 12 ms 12212 KB Output is correct
34 Correct 12 ms 12116 KB Output is correct
35 Correct 12 ms 12116 KB Output is correct
36 Correct 13 ms 12116 KB Output is correct
37 Correct 12 ms 12116 KB Output is correct
38 Correct 13 ms 12116 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 2004 KB Output is correct
2 Correct 4 ms 2004 KB Output is correct
3 Correct 6 ms 2004 KB Output is correct
4 Correct 6 ms 2048 KB Output is correct
5 Correct 6 ms 2004 KB Output is correct
6 Correct 11 ms 2004 KB Output is correct
7 Correct 12 ms 2000 KB Output is correct
8 Correct 12 ms 1996 KB Output is correct
9 Correct 13 ms 2088 KB Output is correct
10 Correct 12 ms 2004 KB Output is correct
11 Correct 6 ms 2004 KB Output is correct
12 Correct 5 ms 2004 KB Output is correct
13 Correct 6 ms 2004 KB Output is correct
14 Correct 5 ms 2004 KB Output is correct
15 Correct 6 ms 2004 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 3 ms 1236 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 12116 KB Output is correct
2 Correct 13 ms 12116 KB Output is correct
3 Correct 12 ms 12192 KB Output is correct
4 Correct 12 ms 12116 KB Output is correct
5 Correct 13 ms 12116 KB Output is correct
6 Correct 12 ms 12116 KB Output is correct
7 Correct 12 ms 12116 KB Output is correct
8 Correct 12 ms 12116 KB Output is correct
9 Correct 16 ms 12136 KB Output is correct
10 Correct 13 ms 12116 KB Output is correct
11 Correct 12 ms 12180 KB Output is correct
12 Correct 12 ms 12168 KB Output is correct
13 Correct 12 ms 12200 KB Output is correct
14 Correct 12 ms 12240 KB Output is correct
15 Correct 13 ms 12136 KB Output is correct
16 Correct 3 ms 2388 KB Output is correct
17 Correct 3 ms 2644 KB Output is correct
18 Correct 3 ms 2516 KB Output is correct
19 Correct 3 ms 2644 KB Output is correct
20 Correct 3 ms 2484 KB Output is correct
21 Correct 116 ms 11056 KB Output is correct
22 Correct 115 ms 11200 KB Output is correct
23 Correct 101 ms 11008 KB Output is correct
24 Correct 114 ms 10916 KB Output is correct
25 Correct 117 ms 11180 KB Output is correct
26 Correct 211 ms 10768 KB Output is correct
27 Correct 212 ms 10924 KB Output is correct
28 Correct 216 ms 10696 KB Output is correct
29 Correct 214 ms 10716 KB Output is correct
30 Correct 12 ms 12116 KB Output is correct
31 Correct 12 ms 12116 KB Output is correct
32 Correct 12 ms 12116 KB Output is correct
33 Correct 12 ms 12212 KB Output is correct
34 Correct 12 ms 12116 KB Output is correct
35 Correct 12 ms 12116 KB Output is correct
36 Correct 13 ms 12116 KB Output is correct
37 Correct 12 ms 12116 KB Output is correct
38 Correct 13 ms 12116 KB Output is correct
39 Correct 5 ms 2004 KB Output is correct
40 Correct 4 ms 2004 KB Output is correct
41 Correct 6 ms 2004 KB Output is correct
42 Correct 6 ms 2048 KB Output is correct
43 Correct 6 ms 2004 KB Output is correct
44 Correct 11 ms 2004 KB Output is correct
45 Correct 12 ms 2000 KB Output is correct
46 Correct 12 ms 1996 KB Output is correct
47 Correct 13 ms 2088 KB Output is correct
48 Correct 12 ms 2004 KB Output is correct
49 Correct 6 ms 2004 KB Output is correct
50 Correct 5 ms 2004 KB Output is correct
51 Correct 6 ms 2004 KB Output is correct
52 Correct 5 ms 2004 KB Output is correct
53 Correct 6 ms 2004 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 3 ms 1236 KB Output is correct
59 Correct 583 ms 12184 KB Output is correct
60 Correct 525 ms 12120 KB Output is correct
61 Correct 501 ms 12156 KB Output is correct
62 Correct 589 ms 12204 KB Output is correct
63 Correct 559 ms 12176 KB Output is correct
64 Correct 1376 ms 12224 KB Output is correct
65 Correct 1378 ms 12208 KB Output is correct
66 Correct 1393 ms 12176 KB Output is correct
67 Correct 1391 ms 12128 KB Output is correct
68 Correct 1341 ms 12152 KB Output is correct
69 Correct 486 ms 12108 KB Output is correct
70 Correct 502 ms 12240 KB Output is correct
71 Correct 500 ms 12236 KB Output is correct
72 Correct 532 ms 12100 KB Output is correct
73 Correct 545 ms 12328 KB Output is correct
74 Correct 61 ms 2468 KB Output is correct
75 Correct 57 ms 2456 KB Output is correct
76 Correct 62 ms 2508 KB Output is correct
77 Correct 60 ms 2424 KB Output is correct
78 Correct 62 ms 2504 KB Output is correct