oj.uz

Submission #754845

# Submission time Handle Problem Language Result Execution time Memory
754845 2023-06-08T17:39:44 Z denniskim Boat (APIO16_boat) C++17
100 / 100
 1369 ms 8420 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];
ll LC[1010];
ll xjc[1010];
int num[1010];
 
ll fast_mod(ll X)
{
	return X >= ss ? X % ss : X;
}
 
ll sqrmtp(ll X, ll Y)
{
	ll ret = 1;
	
	while(Y)
	{
		if(Y & 1)
			ret = fast_mod(ret * X);
		
		X = fast_mod(X * X);
		Y >>= 1;
	}
	
	return ret;
}
 
int main(void)
{
	fastio
	
	n = readInt();
	//cin >> n;
	
	for(int i = 1 ; i <= n ; ++i)
	{
		a[i].fi = readInt();
		a[i].se = readInt();
		
		//cin >> a[i].fi >> a[i].se;
		
		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;
	
	for(int i = 1 ; i <= n ; ++i)
		dp[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] = fast_mod(fast_mod(LC[j - 1] * L) * inv[j]);
			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]] + dp[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]] + dp[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] + dp[i][j - 1]) % ss;
			
			if(j)
				dp[i][j] = (dp[i][j] - dp[i - 1][j - 1]) % ss;
		}
	}
	
	dp[siz - 1][n]--;
	dp[siz - 1][n] = (dp[siz - 1][n] % ss + ss) % ss;
	
	cout << dp[siz - 1][n];
	return 0;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 8276 KB Output is correct
2 Correct 10 ms 8276 KB Output is correct
3 Correct 11 ms 8164 KB Output is correct
4 Correct 10 ms 8276 KB Output is correct
5 Correct 11 ms 8276 KB Output is correct
6 Correct 10 ms 8232 KB Output is correct
7 Correct 10 ms 8220 KB Output is correct
8 Correct 12 ms 8248 KB Output is correct
9 Correct 10 ms 8276 KB Output is correct
10 Correct 10 ms 8224 KB Output is correct
11 Correct 10 ms 8236 KB Output is correct
12 Correct 10 ms 8276 KB Output is correct
13 Correct 10 ms 8180 KB Output is correct
14 Correct 10 ms 8276 KB Output is correct
15 Correct 11 ms 8276 KB Output is correct
16 Correct 2 ms 1748 KB Output is correct
17 Correct 3 ms 1876 KB Output is correct
18 Correct 3 ms 1748 KB Output is correct
19 Correct 3 ms 1876 KB Output is correct
20 Correct 2 ms 1748 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 8276 KB Output is correct
2 Correct 10 ms 8276 KB Output is correct
3 Correct 11 ms 8164 KB Output is correct
4 Correct 10 ms 8276 KB Output is correct
5 Correct 11 ms 8276 KB Output is correct
6 Correct 10 ms 8232 KB Output is correct
7 Correct 10 ms 8220 KB Output is correct
8 Correct 12 ms 8248 KB Output is correct
9 Correct 10 ms 8276 KB Output is correct
10 Correct 10 ms 8224 KB Output is correct
11 Correct 10 ms 8236 KB Output is correct
12 Correct 10 ms 8276 KB Output is correct
13 Correct 10 ms 8180 KB Output is correct
14 Correct 10 ms 8276 KB Output is correct
15 Correct 11 ms 8276 KB Output is correct
16 Correct 2 ms 1748 KB Output is correct
17 Correct 3 ms 1876 KB Output is correct
18 Correct 3 ms 1748 KB Output is correct
19 Correct 3 ms 1876 KB Output is correct
20 Correct 2 ms 1748 KB Output is correct
21 Correct 112 ms 7480 KB Output is correct
22 Correct 107 ms 7564 KB Output is correct
23 Correct 99 ms 7468 KB Output is correct
24 Correct 108 ms 7344 KB Output is correct
25 Correct 109 ms 7548 KB Output is correct
26 Correct 211 ms 7216 KB Output is correct
27 Correct 202 ms 7388 KB Output is correct
28 Correct 206 ms 7244 KB Output is correct
29 Correct 214 ms 7244 KB Output is correct
30 Correct 10 ms 8148 KB Output is correct
31 Correct 11 ms 8204 KB Output is correct
32 Correct 10 ms 8148 KB Output is correct
33 Correct 10 ms 8148 KB Output is correct
34 Correct 10 ms 8208 KB Output is correct
35 Correct 11 ms 8148 KB Output is correct
36 Correct 10 ms 8148 KB Output is correct
37 Correct 10 ms 8148 KB Output is correct
38 Correct 10 ms 8148 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 1236 KB Output is correct
2 Correct 4 ms 1236 KB Output is correct
3 Correct 5 ms 1236 KB Output is correct
4 Correct 5 ms 1236 KB Output is correct
5 Correct 6 ms 1236 KB Output is correct
6 Correct 11 ms 1236 KB Output is correct
7 Correct 11 ms 1236 KB Output is correct
8 Correct 11 ms 1304 KB Output is correct
9 Correct 11 ms 1280 KB Output is correct
10 Correct 12 ms 1320 KB Output is correct
11 Correct 6 ms 1260 KB Output is correct
12 Correct 4 ms 1236 KB Output is correct
13 Correct 5 ms 1236 KB Output is correct
14 Correct 4 ms 1236 KB Output is correct
15 Correct 6 ms 1236 KB Output is correct
16 Correct 3 ms 852 KB Output is correct
17 Correct 2 ms 852 KB Output is correct
18 Correct 3 ms 852 KB Output is correct
19 Correct 2 ms 852 KB Output is correct
20 Correct 3 ms 852 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 8276 KB Output is correct
2 Correct 10 ms 8276 KB Output is correct
3 Correct 11 ms 8164 KB Output is correct
4 Correct 10 ms 8276 KB Output is correct
5 Correct 11 ms 8276 KB Output is correct
6 Correct 10 ms 8232 KB Output is correct
7 Correct 10 ms 8220 KB Output is correct
8 Correct 12 ms 8248 KB Output is correct
9 Correct 10 ms 8276 KB Output is correct
10 Correct 10 ms 8224 KB Output is correct
11 Correct 10 ms 8236 KB Output is correct
12 Correct 10 ms 8276 KB Output is correct
13 Correct 10 ms 8180 KB Output is correct
14 Correct 10 ms 8276 KB Output is correct
15 Correct 11 ms 8276 KB Output is correct
16 Correct 2 ms 1748 KB Output is correct
17 Correct 3 ms 1876 KB Output is correct
18 Correct 3 ms 1748 KB Output is correct
19 Correct 3 ms 1876 KB Output is correct
20 Correct 2 ms 1748 KB Output is correct
21 Correct 112 ms 7480 KB Output is correct
22 Correct 107 ms 7564 KB Output is correct
23 Correct 99 ms 7468 KB Output is correct
24 Correct 108 ms 7344 KB Output is correct
25 Correct 109 ms 7548 KB Output is correct
26 Correct 211 ms 7216 KB Output is correct
27 Correct 202 ms 7388 KB Output is correct
28 Correct 206 ms 7244 KB Output is correct
29 Correct 214 ms 7244 KB Output is correct
30 Correct 10 ms 8148 KB Output is correct
31 Correct 11 ms 8204 KB Output is correct
32 Correct 10 ms 8148 KB Output is correct
33 Correct 10 ms 8148 KB Output is correct
34 Correct 10 ms 8208 KB Output is correct
35 Correct 11 ms 8148 KB Output is correct
36 Correct 10 ms 8148 KB Output is correct
37 Correct 10 ms 8148 KB Output is correct
38 Correct 10 ms 8148 KB Output is correct
39 Correct 5 ms 1236 KB Output is correct
40 Correct 4 ms 1236 KB Output is correct
41 Correct 5 ms 1236 KB Output is correct
42 Correct 5 ms 1236 KB Output is correct
43 Correct 6 ms 1236 KB Output is correct
44 Correct 11 ms 1236 KB Output is correct
45 Correct 11 ms 1236 KB Output is correct
46 Correct 11 ms 1304 KB Output is correct
47 Correct 11 ms 1280 KB Output is correct
48 Correct 12 ms 1320 KB Output is correct
49 Correct 6 ms 1260 KB Output is correct
50 Correct 4 ms 1236 KB Output is correct
51 Correct 5 ms 1236 KB Output is correct
52 Correct 4 ms 1236 KB Output is correct
53 Correct 6 ms 1236 KB Output is correct
54 Correct 3 ms 852 KB Output is correct
55 Correct 2 ms 852 KB Output is correct
56 Correct 3 ms 852 KB Output is correct
57 Correct 2 ms 852 KB Output is correct
58 Correct 3 ms 852 KB Output is correct
59 Correct 560 ms 8152 KB Output is correct
60 Correct 512 ms 8360 KB Output is correct
61 Correct 475 ms 8156 KB Output is correct
62 Correct 577 ms 8180 KB Output is correct
63 Correct 541 ms 8324 KB Output is correct
64 Correct 1369 ms 8296 KB Output is correct
65 Correct 1341 ms 8300 KB Output is correct
66 Correct 1339 ms 8232 KB Output is correct
67 Correct 1355 ms 8420 KB Output is correct
68 Correct 1325 ms 8408 KB Output is correct
69 Correct 491 ms 8280 KB Output is correct
70 Correct 484 ms 8356 KB Output is correct
71 Correct 488 ms 8244 KB Output is correct
72 Correct 511 ms 8140 KB Output is correct
73 Correct 518 ms 8196 KB Output is correct
74 Correct 58 ms 1712 KB Output is correct
75 Correct 55 ms 1752 KB Output is correct
76 Correct 57 ms 1724 KB Output is correct
77 Correct 57 ms 1796 KB Output is correct
78 Correct 59 ms 1736 KB Output is correct