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Submission #253266

# Submission time Handle Problem Language Result Execution time Memory
253266 2020-07-27T14:49:10 Z davooddkareshki Boat (APIO16_boat) C++17
100 / 100
 1126 ms 12456 KB 
#include<bits/stdc++.h>

using namespace std; 

typedef long long ll;
typedef long double ld;

#define F first 
#define S second 
#define pii pair<int,int>
#define mpr make_pair

const int maxn = 1010;
const ll inf = 1e18+10;
const int mod = 1e9+7;
const int N = 2e7+10;

int n;
int dp[maxn][maxn], sum[maxn][maxn], C[maxn][maxn], C2[maxn][maxn], a[maxn], b[maxn], fac[maxn], repo[maxn];
vector<int> ve;

int pw(int a, int b)
{
   if(b == 0) return 1;
   int x = pw(a,b/2); x = (x * 1ll * x) % mod;
   if(b&1) x = (x * 1ll * a) % mod;
   return x;
}

signed main()
{
   //ios_base::sync_with_stdio(false); cin.tie(0); cout.tie(0);

   scanf("%d", &n);
   fac[0] = 1; repo[0] = 1;
   for(int i = 1; i <= n; i++) 
   {
      fac[i] = (fac[i-1] * 1ll * i) % mod;
      repo[i] = pw(fac[i],mod-2);
      
      scanf("%d%d", &a[i], &b[i]);
      ve.push_back(a[i]);
      ve.push_back(b[i]);
   }
   ve.push_back(0);
   sort(ve.begin(), ve.end());
   ve.resize(unique(ve.begin(), ve.end()) - ve.begin());
   int k = ve.size();

   for(int j = 0; j < k; j++)
      for(int x = 0; x <= n; x++)
      {
         int T;
         if(j == 0) T = 1;
         else T = ve[j] - ve[j-1];
         if(x <= 2)
         {
            int up = 1, dow = 1;
            for(int y = 1; y <= min(x,T); y++)
            {
               up = (up * 1ll * (T-y+1)) % mod;   
               dow = (repo[y-1] * 1ll * repo[x-y]) % mod; 
               dow = (dow * 1ll * repo[y]) % mod;
               (C[j][x] += (((fac[x-1] * 1ll * up) % mod) * 1ll * dow) % mod) %= mod;
            }

            up = 1; dow = 1; T--;
            for(int y = 0; y <= min(x,T); y++)
            {
               if(y) up = (up * 1ll * (T-y+1)) % mod;   
               dow = (repo[y] * 1ll * repo[x-y]) % mod; 
               dow = (dow * 1ll * repo[y]) % mod;
               (C2[j][x] += (((fac[x] * 1ll * up) % mod) * 1ll * dow) % mod) %= mod;
            }
         }
         else 
         {
            int up = 1;
            for(int y = 1; y <= x; y++) 
               up = (up * 1ll * (y+T-1)) % mod;
            C[j][x] = C2[j][x] = (up * 1ll * repo[x]) % mod;
         }

         //cout<< T <<" "<< x <<" "<< C[j][x] <<" "<< C2[j][x] <<"\n";
      }

   int ANS = 0;
   for(int i = 0; i <= n; i++)
      for(int j = 0; j < k; j++)
      {
         if(i == 0)
         {
            sum[i][j] = 1;
            dp[i][0] = 1;
            continue;
         }

         if(j == 0)
         {
            dp[i][j] = 1;
            sum[i][j] = 1;
         }
         else 
         {
            int L = ve[j-1]+1, R = ve[j];
            bool X = 0; int nm = 0;
            for(int x = i-1; x >= 0; x--)
            {
               int l = max(L,a[x+1]), r = min(R,b[x+1]);

               nm++;
               if(l > r && x == i-1) break;
               if(l > r) nm--;
               if(l == r) 
               {
                  if(x == i-1) X = 1;
                  nm--;  
               }

               int val = (sum[x][j-1]-1); if(!x) val = 1;
               if(!X)
                  (dp[i][j] += (val * 1ll * C[j][nm]) % mod) %= mod;
               else 
                  (dp[i][j] += ((val * 1ll * C2[j][nm]) % mod)) %= mod;
            }

            sum[i][j] = (sum[i][j-1] + dp[i][j]) % mod;
            (ANS += dp[i][j]) %= mod;
         }
         //cout<< i <<" "<< j <<" "<< dp[i][j] <<"\n";   
      }
   
   printf("%d", ANS);
}



/*
3
1 2  
5 10 
100 100

3
1 2
2 3
3 4
*/

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:34:9: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
    scanf("%d", &n);
    ~~~~~^~~~~~~~~~
boat.cpp:41:12: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
       scanf("%d%d", &a[i], &b[i]);
       ~~~~~^~~~~~~~~~~~~~~~~~~~~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 362 ms 8312 KB Output is correct
2 Correct 362 ms 8312 KB Output is correct
3 Correct 365 ms 8312 KB Output is correct
4 Correct 360 ms 8312 KB Output is correct
5 Correct 361 ms 8304 KB Output is correct
6 Correct 363 ms 8312 KB Output is correct
7 Correct 360 ms 8360 KB Output is correct
8 Correct 364 ms 8312 KB Output is correct
9 Correct 361 ms 8312 KB Output is correct
10 Correct 360 ms 8312 KB Output is correct
11 Correct 361 ms 8312 KB Output is correct
12 Correct 361 ms 8312 KB Output is correct
13 Correct 361 ms 8312 KB Output is correct
14 Correct 361 ms 8312 KB Output is correct
15 Correct 361 ms 8312 KB Output is correct
16 Correct 67 ms 5112 KB Output is correct
17 Correct 72 ms 5100 KB Output is correct
18 Correct 69 ms 4984 KB Output is correct
19 Correct 72 ms 5112 KB Output is correct
20 Correct 69 ms 4984 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 362 ms 8312 KB Output is correct
2 Correct 362 ms 8312 KB Output is correct
3 Correct 365 ms 8312 KB Output is correct
4 Correct 360 ms 8312 KB Output is correct
5 Correct 361 ms 8304 KB Output is correct
6 Correct 363 ms 8312 KB Output is correct
7 Correct 360 ms 8360 KB Output is correct
8 Correct 364 ms 8312 KB Output is correct
9 Correct 361 ms 8312 KB Output is correct
10 Correct 360 ms 8312 KB Output is correct
11 Correct 361 ms 8312 KB Output is correct
12 Correct 361 ms 8312 KB Output is correct
13 Correct 361 ms 8312 KB Output is correct
14 Correct 361 ms 8312 KB Output is correct
15 Correct 361 ms 8312 KB Output is correct
16 Correct 67 ms 5112 KB Output is correct
17 Correct 72 ms 5100 KB Output is correct
18 Correct 69 ms 4984 KB Output is correct
19 Correct 72 ms 5112 KB Output is correct
20 Correct 69 ms 4984 KB Output is correct
21 Correct 962 ms 11640 KB Output is correct
22 Correct 946 ms 11516 KB Output is correct
23 Correct 920 ms 11492 KB Output is correct
24 Correct 942 ms 11512 KB Output is correct
25 Correct 917 ms 11492 KB Output is correct
26 Correct 974 ms 11384 KB Output is correct
27 Correct 1010 ms 11384 KB Output is correct
28 Correct 975 ms 11384 KB Output is correct
29 Correct 985 ms 11256 KB Output is correct
30 Correct 685 ms 11960 KB Output is correct
31 Correct 683 ms 11896 KB Output is correct
32 Correct 688 ms 11828 KB Output is correct
33 Correct 687 ms 11900 KB Output is correct
34 Correct 679 ms 11792 KB Output is correct
35 Correct 361 ms 8312 KB Output is correct
36 Correct 361 ms 8324 KB Output is correct
37 Correct 362 ms 8440 KB Output is correct
38 Correct 358 ms 8312 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 2688 KB Output is correct
2 Correct 10 ms 2688 KB Output is correct
3 Correct 11 ms 2688 KB Output is correct
4 Correct 10 ms 2688 KB Output is correct
5 Correct 10 ms 2688 KB Output is correct
6 Correct 11 ms 2688 KB Output is correct
7 Correct 12 ms 2688 KB Output is correct
8 Correct 11 ms 2728 KB Output is correct
9 Correct 11 ms 2688 KB Output is correct
10 Correct 13 ms 2688 KB Output is correct
11 Correct 10 ms 2688 KB Output is correct
12 Correct 10 ms 2688 KB Output is correct
13 Correct 10 ms 2688 KB Output is correct
14 Correct 10 ms 2688 KB Output is correct
15 Correct 10 ms 2688 KB Output is correct
16 Correct 5 ms 1792 KB Output is correct
17 Correct 5 ms 1792 KB Output is correct
18 Correct 5 ms 1792 KB Output is correct
19 Correct 5 ms 1792 KB Output is correct
20 Correct 5 ms 1924 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 362 ms 8312 KB Output is correct
2 Correct 362 ms 8312 KB Output is correct
3 Correct 365 ms 8312 KB Output is correct
4 Correct 360 ms 8312 KB Output is correct
5 Correct 361 ms 8304 KB Output is correct
6 Correct 363 ms 8312 KB Output is correct
7 Correct 360 ms 8360 KB Output is correct
8 Correct 364 ms 8312 KB Output is correct
9 Correct 361 ms 8312 KB Output is correct
10 Correct 360 ms 8312 KB Output is correct
11 Correct 361 ms 8312 KB Output is correct
12 Correct 361 ms 8312 KB Output is correct
13 Correct 361 ms 8312 KB Output is correct
14 Correct 361 ms 8312 KB Output is correct
15 Correct 361 ms 8312 KB Output is correct
16 Correct 67 ms 5112 KB Output is correct
17 Correct 72 ms 5100 KB Output is correct
18 Correct 69 ms 4984 KB Output is correct
19 Correct 72 ms 5112 KB Output is correct
20 Correct 69 ms 4984 KB Output is correct
21 Correct 962 ms 11640 KB Output is correct
22 Correct 946 ms 11516 KB Output is correct
23 Correct 920 ms 11492 KB Output is correct
24 Correct 942 ms 11512 KB Output is correct
25 Correct 917 ms 11492 KB Output is correct
26 Correct 974 ms 11384 KB Output is correct
27 Correct 1010 ms 11384 KB Output is correct
28 Correct 975 ms 11384 KB Output is correct
29 Correct 985 ms 11256 KB Output is correct
30 Correct 685 ms 11960 KB Output is correct
31 Correct 683 ms 11896 KB Output is correct
32 Correct 688 ms 11828 KB Output is correct
33 Correct 687 ms 11900 KB Output is correct
34 Correct 679 ms 11792 KB Output is correct
35 Correct 361 ms 8312 KB Output is correct
36 Correct 361 ms 8324 KB Output is correct
37 Correct 362 ms 8440 KB Output is correct
38 Correct 358 ms 8312 KB Output is correct
39 Correct 10 ms 2688 KB Output is correct
40 Correct 10 ms 2688 KB Output is correct
41 Correct 11 ms 2688 KB Output is correct
42 Correct 10 ms 2688 KB Output is correct
43 Correct 10 ms 2688 KB Output is correct
44 Correct 11 ms 2688 KB Output is correct
45 Correct 12 ms 2688 KB Output is correct
46 Correct 11 ms 2728 KB Output is correct
47 Correct 11 ms 2688 KB Output is correct
48 Correct 13 ms 2688 KB Output is correct
49 Correct 10 ms 2688 KB Output is correct
50 Correct 10 ms 2688 KB Output is correct
51 Correct 10 ms 2688 KB Output is correct
52 Correct 10 ms 2688 KB Output is correct
53 Correct 10 ms 2688 KB Output is correct
54 Correct 5 ms 1792 KB Output is correct
55 Correct 5 ms 1792 KB Output is correct
56 Correct 5 ms 1792 KB Output is correct
57 Correct 5 ms 1792 KB Output is correct
58 Correct 5 ms 1924 KB Output is correct
59 Correct 1020 ms 12456 KB Output is correct
60 Correct 1018 ms 12280 KB Output is correct
61 Correct 985 ms 12408 KB Output is correct
62 Correct 1010 ms 12160 KB Output is correct
63 Correct 1010 ms 12280 KB Output is correct
64 Correct 1111 ms 12412 KB Output is correct
65 Correct 1114 ms 12316 KB Output is correct
66 Correct 1112 ms 12328 KB Output is correct
67 Correct 1126 ms 12256 KB Output is correct
68 Correct 1123 ms 12296 KB Output is correct
69 Correct 939 ms 12280 KB Output is correct
70 Correct 934 ms 12280 KB Output is correct
71 Correct 928 ms 12408 KB Output is correct
72 Correct 936 ms 12380 KB Output is correct
73 Correct 945 ms 12204 KB Output is correct
74 Correct 112 ms 5112 KB Output is correct
75 Correct 107 ms 5112 KB Output is correct
76 Correct 109 ms 5112 KB Output is correct
77 Correct 109 ms 5112 KB Output is correct
78 Correct 111 ms 5112 KB Output is correct