oj.uz

Submission #754838

# Submission time Handle Problem Language Result Execution time Memory
754838 2023-06-08T17:20:05 Z denniskim Boat (APIO16_boat) C++17
100 / 100
 1396 ms 12452 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 <= n ; ++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 17 ms 12244 KB Output is correct
2 Correct 17 ms 12244 KB Output is correct
3 Correct 17 ms 12136 KB Output is correct
4 Correct 17 ms 12208 KB Output is correct
5 Correct 17 ms 12220 KB Output is correct
6 Correct 16 ms 12164 KB Output is correct
7 Correct 16 ms 12116 KB Output is correct
8 Correct 16 ms 12240 KB Output is correct
9 Correct 16 ms 12116 KB Output is correct
10 Correct 16 ms 12200 KB Output is correct
11 Correct 16 ms 12160 KB Output is correct
12 Correct 17 ms 12116 KB Output is correct
13 Correct 16 ms 12224 KB Output is correct
14 Correct 16 ms 12128 KB Output is correct
15 Correct 16 ms 12188 KB Output is correct
16 Correct 4 ms 2388 KB Output is correct
17 Correct 4 ms 2644 KB Output is correct
18 Correct 3 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 17 ms 12244 KB Output is correct
2 Correct 17 ms 12244 KB Output is correct
3 Correct 17 ms 12136 KB Output is correct
4 Correct 17 ms 12208 KB Output is correct
5 Correct 17 ms 12220 KB Output is correct
6 Correct 16 ms 12164 KB Output is correct
7 Correct 16 ms 12116 KB Output is correct
8 Correct 16 ms 12240 KB Output is correct
9 Correct 16 ms 12116 KB Output is correct
10 Correct 16 ms 12200 KB Output is correct
11 Correct 16 ms 12160 KB Output is correct
12 Correct 17 ms 12116 KB Output is correct
13 Correct 16 ms 12224 KB Output is correct
14 Correct 16 ms 12128 KB Output is correct
15 Correct 16 ms 12188 KB Output is correct
16 Correct 4 ms 2388 KB Output is correct
17 Correct 4 ms 2644 KB Output is correct
18 Correct 3 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 124 ms 11088 KB Output is correct
22 Correct 119 ms 11292 KB Output is correct
23 Correct 97 ms 11068 KB Output is correct
24 Correct 109 ms 10932 KB Output is correct
25 Correct 112 ms 10956 KB Output is correct
26 Correct 205 ms 10712 KB Output is correct
27 Correct 219 ms 10968 KB Output is correct
28 Correct 232 ms 10744 KB Output is correct
29 Correct 219 ms 10732 KB Output is correct
30 Correct 16 ms 12116 KB Output is correct
31 Correct 15 ms 12212 KB Output is correct
32 Correct 15 ms 12140 KB Output is correct
33 Correct 15 ms 12116 KB Output is correct
34 Correct 16 ms 12160 KB Output is correct
35 Correct 16 ms 12116 KB Output is correct
36 Correct 17 ms 12132 KB Output is correct
37 Correct 16 ms 12116 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 2012 KB Output is correct
2 Correct 4 ms 2104 KB Output is correct
3 Correct 5 ms 2004 KB Output is correct
4 Correct 5 ms 2004 KB Output is correct
5 Correct 7 ms 2004 KB Output is correct
6 Correct 12 ms 2064 KB Output is correct
7 Correct 12 ms 2004 KB Output is correct
8 Correct 12 ms 2004 KB Output is correct
9 Correct 12 ms 2004 KB Output is correct
10 Correct 11 ms 2004 KB Output is correct
11 Correct 7 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 6 ms 2004 KB Output is correct
15 Correct 6 ms 2100 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 17 ms 12244 KB Output is correct
2 Correct 17 ms 12244 KB Output is correct
3 Correct 17 ms 12136 KB Output is correct
4 Correct 17 ms 12208 KB Output is correct
5 Correct 17 ms 12220 KB Output is correct
6 Correct 16 ms 12164 KB Output is correct
7 Correct 16 ms 12116 KB Output is correct
8 Correct 16 ms 12240 KB Output is correct
9 Correct 16 ms 12116 KB Output is correct
10 Correct 16 ms 12200 KB Output is correct
11 Correct 16 ms 12160 KB Output is correct
12 Correct 17 ms 12116 KB Output is correct
13 Correct 16 ms 12224 KB Output is correct
14 Correct 16 ms 12128 KB Output is correct
15 Correct 16 ms 12188 KB Output is correct
16 Correct 4 ms 2388 KB Output is correct
17 Correct 4 ms 2644 KB Output is correct
18 Correct 3 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 124 ms 11088 KB Output is correct
22 Correct 119 ms 11292 KB Output is correct
23 Correct 97 ms 11068 KB Output is correct
24 Correct 109 ms 10932 KB Output is correct
25 Correct 112 ms 10956 KB Output is correct
26 Correct 205 ms 10712 KB Output is correct
27 Correct 219 ms 10968 KB Output is correct
28 Correct 232 ms 10744 KB Output is correct
29 Correct 219 ms 10732 KB Output is correct
30 Correct 16 ms 12116 KB Output is correct
31 Correct 15 ms 12212 KB Output is correct
32 Correct 15 ms 12140 KB Output is correct
33 Correct 15 ms 12116 KB Output is correct
34 Correct 16 ms 12160 KB Output is correct
35 Correct 16 ms 12116 KB Output is correct
36 Correct 17 ms 12132 KB Output is correct
37 Correct 16 ms 12116 KB Output is correct
38 Correct 16 ms 12116 KB Output is correct
39 Correct 6 ms 2012 KB Output is correct
40 Correct 4 ms 2104 KB Output is correct
41 Correct 5 ms 2004 KB Output is correct
42 Correct 5 ms 2004 KB Output is correct
43 Correct 7 ms 2004 KB Output is correct
44 Correct 12 ms 2064 KB Output is correct
45 Correct 12 ms 2004 KB Output is correct
46 Correct 12 ms 2004 KB Output is correct
47 Correct 12 ms 2004 KB Output is correct
48 Correct 11 ms 2004 KB Output is correct
49 Correct 7 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 6 ms 2004 KB Output is correct
53 Correct 6 ms 2100 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 589 ms 12284 KB Output is correct
60 Correct 527 ms 12204 KB Output is correct
61 Correct 519 ms 12260 KB Output is correct
62 Correct 620 ms 12168 KB Output is correct
63 Correct 560 ms 12256 KB Output is correct
64 Correct 1369 ms 12196 KB Output is correct
65 Correct 1358 ms 12332 KB Output is correct
66 Correct 1378 ms 12308 KB Output is correct
67 Correct 1379 ms 12452 KB Output is correct
68 Correct 1396 ms 12388 KB Output is correct
69 Correct 530 ms 12184 KB Output is correct
70 Correct 532 ms 12144 KB Output is correct
71 Correct 546 ms 12216 KB Output is correct
72 Correct 541 ms 12168 KB Output is correct
73 Correct 591 ms 12228 KB Output is correct
74 Correct 63 ms 2380 KB Output is correct
75 Correct 60 ms 2520 KB Output is correct
76 Correct 65 ms 2512 KB Output is correct
77 Correct 67 ms 2432 KB Output is correct
78 Correct 68 ms 2388 KB Output is correct