oj.uz

Submission #262042

# Submission time Handle Problem Language Result Execution time Memory
262042 2020-08-12T10:05:05 Z b00n0rp Boat (APIO16_boat) C++17
100 / 100
 1014 ms 8568 KB 
// --------------------------------------------------<TEMPLATE>--------------------------------------------------
// --------------------<optimizations>--------------------
/*
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx,avx2,fma")
*/ 
// -------------------</optimizations>--------------------
 
// ---------------<Headers and namespaces>----------------
#include <bits/stdc++.h>
using namespace std;
 
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
*/
 
// ---------------</Headers and namespaces>---------------
 
// -----------------<Defines and typedefs>----------------
// typedef tree<int,null_type,less<int>,rb_tree_tag, 
// tree_order_statistics_node_update> indexed_set; // use less_equal for multiset
// order_of_key (val): returns the no. of values less than val
// find_by_order (k): returns the iterator to kth largest element.(0-based)
 
typedef long double LD;
typedef long long ll;
#define int ll
#define pb push_back
#define mp make_pair
#define REP(i,n) for (int i = 0; i < n; i++)
#define FOR(i,a,b) for (int i = a; i < b; i++)
#define REPD(i,n) for (int i = n-1; i >= 0; i--)
#define FORD(i,a,b) for (int i = a; i >= b; i--)
#define remax(a,b) a = max(a,b)
#define remin(a,b) a = min(a,b)
#define all(v) v.begin(),v.end()
typedef map<int,int> mii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pii;
typedef vector<pii> vpii;
#define F first
#define S second
#define PQ(type) priority_queue<type>
#define PQD(type) priority_queue<type,vector<type>,greater<type> >
#define WL(t) while(t --)
#define SZ(x) ((int)(x).size())
#define runtime() ((double)clock() / CLOCKS_PER_SEC)
#define inrange(i,a,b) ((i>=min(a,b)) && (i<=max(a,b)))
 
/*
// -----<SCANF>-----
#define sfi(x) scanf("%d",&x);
#define sfi2(x,y) scanf("%d%d",&x,&y);
#define sfi3(x,y,z) scanf("%d%d%d",&x,&y,&z);
 
#define sfl(x) scanf("%lld",&x);
#define sfl2(x,y) scanf("%lld%lld",&x,&y);
#define sfl3(x,y,z) scanf("%lld%lld%lld",&x,&y,&z);
#define sfl4(x,y,z,x1) scanf("%lld%lld%lld%lld",&x,&y,&z,&x1);
#define sfl5(x,y,z,x1,y1) scanf("%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1);
#define sfl6(x,y,z,x1,y1,z1) scanf("%lld%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1,&z1);
 
#define sfs(x) scanf("%s",x);
#define sfs2(x,y) scanf("%s%s",x,y);
#define sfs3(x,y,z) scanf("%s%s%s",x,y,z);
// ----</SCANF>-----
 
// ----<PRINTF>-----
#define pfi(x) printf("%d\n",x);
#define pfi2(x,y) printf("%d %d\n",x,y);
#define pfi3(x,y,z) printf("%d %d %d\n",x,y,z);
 
#define pfl(x) printf("%lld\n",x);
#define pfl2(x,y) printf("%lld %lld\n",x,y);
#define pfl3(x,y,z) printf("%lld %lld %lld\n",x,y,z);
 
#define pfs(x) printf("%s\n",x);
#define pfs2(x,y) printf("%s %s\n",x,y);
#define pfs3(x,y,z) printf("%s %s %s\n",x,y,z);
 
#define pwe(x) printf("%lld ",x); // print without end
// ----</PRINTF>----
*/
#define FLSH fflush(stdout)
#define fileIO(name) \
    freopen(name".in", "r", stdin); \
    freopen(name".out", "w", stdout);
#define PRECISION(x) cout << fixed << setprecision(x); 
#define FAST_IO ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
 
// ----------------</Defines and typedefs>----------------
 
// -------------------<Debugging stuff>-------------------
#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
    cout << name << " : " << arg1 << std::endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
    const char* comma = strchr(names + 1, ',');cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...);
}
#else
#define trace(...)
#endif
 
// ------------------</Debugging stuff>-------------------
 
// ------------------------<Consts>-----------------------
const int MAXN = 1000005;
const int SQRTN = 1003;
const int LOGN = 22;
const double PI=acos(-1);
 
#ifdef int
const int INF=1e16;
#else
const int INF=1e9;
#endif
 
const int MOD = 1000000007;
const int FMOD = 998244353;
const double eps = 1e-9;
// -----------------------</Consts>-----------------------

// -------------------------<RNG>-------------------------
mt19937 RNG(chrono::steady_clock::now().time_since_epoch().count()); 
#define SHUF(v) shuffle(all(v), RNG);
// Use mt19937_64 for 64 bit random numbers.
 
// ------------------------</RNG>-------------------------
 
// ----------------------<MATH>---------------------------
template<typename T> T gcd(T a, T b){return(b?__gcd(a,b):a);}
template<typename T> T lcm(T a, T b){return(a*(b/gcd(a,b)));}
int add(int a, int b, int c = MOD){int res=a+b;return(res>=c?res-c:res);}
int mod_neg(int a, int b, int c = MOD){int res;if(abs(a-b)<c)res=a-b;else res=(a-b)%c;return(res<0?res+c:res);}
int mul(int a, int b, int c = MOD){ll res=(ll)a*b;return(res>=c?res%c:res);}
int muln(int a, int b, int c = MOD){ll res=(ll)a*b;return ((res%c)+c)%c;}
ll mulmod(ll a,ll b, ll m = MOD){ll q = (ll)(((LD)a*(LD)b)/(LD)m);ll r=a*b-q*m;if(r>m)r%=m;if(r<0)r+=m;return r;}
template<typename T>T expo(T e, T n){T x=1,p=e;while(n){if(n&1)x=x*p;p=p*p;n>>=1;}return x;}
template<typename T>T power(T e, T n, T m = MOD){T x=1,p=e;while(n){if(n&1)x=mul(x,p,m);p=mul(p,p,m);n>>=1;}return x;}
template<typename T>T extended_euclid(T a, T b, T &x, T &y){T xx=0,yy=1;y=0;x=1;while(b){T q=a/b,t=b;b=a%b;a=t;\
t=xx;xx=x-q*xx;x=t;t=yy;yy=y-q*yy;y=t;}return a;}
template<typename T>T mod_inverse(T a, T n = MOD){T x,y,z=0;T d=extended_euclid(a,n,x,y);return(d>1?-1:mod_neg(x,z,n));}
 
const int FACSZ = 1; // Make sure to change this
 
int fact[FACSZ],ifact[FACSZ];
 
void precom(int c = MOD){
    fact[0] = 1;
    FOR(i,1,FACSZ) fact[i] = mul(fact[i-1],i,c);
    ifact[FACSZ-1] = mod_inverse(fact[FACSZ-1],c);
    REPD(i,FACSZ-1){
        ifact[i] = mul(i+1,ifact[i+1],c);
    }
}
 
int ncr(int n,int r,int c = MOD){
    return mul(mul(ifact[r],ifact[n-r],c),fact[n],c);
} 

// ----------------------</MATH>--------------------------
// --------------------------------------------------</TEMPLATE>--------------------------------------------------
 
void solvethetestcase();
 
signed main(){
    // comment when using scanf,printf
    FAST_IO
    int t = 1;
    // (UNCOMMENT FOR MULTIPLE TEST CASES)
    // cin >> t;
    FOR(testcase,1,t+1){
        // (UNCOMMENT FOR CODEJAM)
        // printf("Case #%lld: ",testcase); 
        solvethetestcase();
    }
}   
 
int n;
pii a[505];
vi v;

int dp[505][1005],pref[505][1005];
int mi[505];
 
void solvethetestcase(){
    cin >> n;
    v.pb(0);
    FOR(i,1,n+1){
        cin >> a[i].F >> a[i].S;
        v.pb(a[i].F);
        v.pb(a[i].S+1);
        mi[i] = mod_inverse(i);
    }
    sort(all(v));
    dp[0][0] = 1;
    REP(i,2*n+1) pref[0][i] = 1;
    FOR(i,1,n+1){  
        FOR(j,1,2*n){
        	dp[i][j] = 0;
       		int cnt = 0,cur = 1;
            FORD(k,i,1){
            	if(a[k].F <= v[j] and v[j] <= a[k].S){
            		cur = mul(cur,v[j+1]-v[j]+cnt);
            		cnt++;
            		cur = mul(cur,mi[cnt]);
            		dp[i][j] = add(dp[i][j],mul(cur,pref[k-1][j-1]));
            	}
            }
        }
		pref[i][0] = 1;
        FOR(j,1,2*n) pref[i][j] = (dp[i][j]+pref[i][j-1])%MOD;
    }
    cout << pref[n][2*n-1]-1 << endl;
}

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 277 ms 8184 KB Output is correct
2 Correct 275 ms 8316 KB Output is correct
3 Correct 258 ms 8268 KB Output is correct
4 Correct 251 ms 8184 KB Output is correct
5 Correct 253 ms 8244 KB Output is correct
6 Correct 166 ms 8184 KB Output is correct
7 Correct 161 ms 8184 KB Output is correct
8 Correct 166 ms 8184 KB Output is correct
9 Correct 171 ms 8184 KB Output is correct
10 Correct 163 ms 8184 KB Output is correct
11 Correct 183 ms 8312 KB Output is correct
12 Correct 169 ms 8312 KB Output is correct
13 Correct 162 ms 8184 KB Output is correct
14 Correct 175 ms 8312 KB Output is correct
15 Correct 191 ms 8232 KB Output is correct
16 Correct 279 ms 8184 KB Output is correct
17 Correct 270 ms 8440 KB Output is correct
18 Correct 274 ms 8184 KB Output is correct
19 Correct 284 ms 8184 KB Output is correct
20 Correct 280 ms 8232 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 277 ms 8184 KB Output is correct
2 Correct 275 ms 8316 KB Output is correct
3 Correct 258 ms 8268 KB Output is correct
4 Correct 251 ms 8184 KB Output is correct
5 Correct 253 ms 8244 KB Output is correct
6 Correct 166 ms 8184 KB Output is correct
7 Correct 161 ms 8184 KB Output is correct
8 Correct 166 ms 8184 KB Output is correct
9 Correct 171 ms 8184 KB Output is correct
10 Correct 163 ms 8184 KB Output is correct
11 Correct 183 ms 8312 KB Output is correct
12 Correct 169 ms 8312 KB Output is correct
13 Correct 162 ms 8184 KB Output is correct
14 Correct 175 ms 8312 KB Output is correct
15 Correct 191 ms 8232 KB Output is correct
16 Correct 279 ms 8184 KB Output is correct
17 Correct 270 ms 8440 KB Output is correct
18 Correct 274 ms 8184 KB Output is correct
19 Correct 284 ms 8184 KB Output is correct
20 Correct 280 ms 8232 KB Output is correct
21 Correct 649 ms 8336 KB Output is correct
22 Correct 648 ms 8312 KB Output is correct
23 Correct 624 ms 8312 KB Output is correct
24 Correct 640 ms 8228 KB Output is correct
25 Correct 674 ms 8268 KB Output is correct
26 Correct 602 ms 8440 KB Output is correct
27 Correct 619 ms 8568 KB Output is correct
28 Correct 621 ms 8188 KB Output is correct
29 Correct 642 ms 8312 KB Output is correct
30 Correct 180 ms 8312 KB Output is correct
31 Correct 165 ms 8312 KB Output is correct
32 Correct 166 ms 8316 KB Output is correct
33 Correct 165 ms 8292 KB Output is correct
34 Correct 164 ms 8312 KB Output is correct
35 Correct 272 ms 8228 KB Output is correct
36 Correct 271 ms 8312 KB Output is correct
37 Correct 273 ms 8312 KB Output is correct
38 Correct 277 ms 8312 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 1536 KB Output is correct
2 Correct 6 ms 1536 KB Output is correct
3 Correct 6 ms 1536 KB Output is correct
4 Correct 6 ms 1536 KB Output is correct
5 Correct 9 ms 1536 KB Output is correct
6 Correct 8 ms 1536 KB Output is correct
7 Correct 8 ms 1536 KB Output is correct
8 Correct 8 ms 1536 KB Output is correct
9 Correct 10 ms 1536 KB Output is correct
10 Correct 8 ms 1536 KB Output is correct
11 Correct 8 ms 1536 KB Output is correct
12 Correct 8 ms 1792 KB Output is correct
13 Correct 7 ms 1536 KB Output is correct
14 Correct 7 ms 1536 KB Output is correct
15 Correct 7 ms 1536 KB Output is correct
16 Correct 6 ms 1536 KB Output is correct
17 Correct 6 ms 1536 KB Output is correct
18 Correct 6 ms 1536 KB Output is correct
19 Correct 6 ms 1536 KB Output is correct
20 Correct 6 ms 1536 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 277 ms 8184 KB Output is correct
2 Correct 275 ms 8316 KB Output is correct
3 Correct 258 ms 8268 KB Output is correct
4 Correct 251 ms 8184 KB Output is correct
5 Correct 253 ms 8244 KB Output is correct
6 Correct 166 ms 8184 KB Output is correct
7 Correct 161 ms 8184 KB Output is correct
8 Correct 166 ms 8184 KB Output is correct
9 Correct 171 ms 8184 KB Output is correct
10 Correct 163 ms 8184 KB Output is correct
11 Correct 183 ms 8312 KB Output is correct
12 Correct 169 ms 8312 KB Output is correct
13 Correct 162 ms 8184 KB Output is correct
14 Correct 175 ms 8312 KB Output is correct
15 Correct 191 ms 8232 KB Output is correct
16 Correct 279 ms 8184 KB Output is correct
17 Correct 270 ms 8440 KB Output is correct
18 Correct 274 ms 8184 KB Output is correct
19 Correct 284 ms 8184 KB Output is correct
20 Correct 280 ms 8232 KB Output is correct
21 Correct 649 ms 8336 KB Output is correct
22 Correct 648 ms 8312 KB Output is correct
23 Correct 624 ms 8312 KB Output is correct
24 Correct 640 ms 8228 KB Output is correct
25 Correct 674 ms 8268 KB Output is correct
26 Correct 602 ms 8440 KB Output is correct
27 Correct 619 ms 8568 KB Output is correct
28 Correct 621 ms 8188 KB Output is correct
29 Correct 642 ms 8312 KB Output is correct
30 Correct 180 ms 8312 KB Output is correct
31 Correct 165 ms 8312 KB Output is correct
32 Correct 166 ms 8316 KB Output is correct
33 Correct 165 ms 8292 KB Output is correct
34 Correct 164 ms 8312 KB Output is correct
35 Correct 272 ms 8228 KB Output is correct
36 Correct 271 ms 8312 KB Output is correct
37 Correct 273 ms 8312 KB Output is correct
38 Correct 277 ms 8312 KB Output is correct
39 Correct 8 ms 1536 KB Output is correct
40 Correct 6 ms 1536 KB Output is correct
41 Correct 6 ms 1536 KB Output is correct
42 Correct 6 ms 1536 KB Output is correct
43 Correct 9 ms 1536 KB Output is correct
44 Correct 8 ms 1536 KB Output is correct
45 Correct 8 ms 1536 KB Output is correct
46 Correct 8 ms 1536 KB Output is correct
47 Correct 10 ms 1536 KB Output is correct
48 Correct 8 ms 1536 KB Output is correct
49 Correct 8 ms 1536 KB Output is correct
50 Correct 8 ms 1792 KB Output is correct
51 Correct 7 ms 1536 KB Output is correct
52 Correct 7 ms 1536 KB Output is correct
53 Correct 7 ms 1536 KB Output is correct
54 Correct 6 ms 1536 KB Output is correct
55 Correct 6 ms 1536 KB Output is correct
56 Correct 6 ms 1536 KB Output is correct
57 Correct 6 ms 1536 KB Output is correct
58 Correct 6 ms 1536 KB Output is correct
59 Correct 624 ms 8312 KB Output is correct
60 Correct 597 ms 8312 KB Output is correct
61 Correct 611 ms 8312 KB Output is correct
62 Correct 651 ms 8312 KB Output is correct
63 Correct 659 ms 8416 KB Output is correct
64 Correct 905 ms 8224 KB Output is correct
65 Correct 919 ms 8304 KB Output is correct
66 Correct 1014 ms 8192 KB Output is correct
67 Correct 889 ms 8228 KB Output is correct
68 Correct 832 ms 8312 KB Output is correct
69 Correct 657 ms 8324 KB Output is correct
70 Correct 672 ms 8312 KB Output is correct
71 Correct 690 ms 8192 KB Output is correct
72 Correct 675 ms 8312 KB Output is correct
73 Correct 686 ms 8252 KB Output is correct
74 Correct 488 ms 8384 KB Output is correct
75 Correct 517 ms 8276 KB Output is correct
76 Correct 503 ms 8312 KB Output is correct
77 Correct 494 ms 8184 KB Output is correct
78 Correct 508 ms 8256 KB Output is correct