oj.uz

Submission #203917

# Submission time Handle Problem Language Result Execution time Memory
203917 2020-02-23T03:03:50 Z Segtree Boat (APIO16_boat) C++14
100 / 100
 1560 ms 18840 KB 
#include<iostream>
#include<algorithm>
#include<vector>
#include<unordered_map>
using namespace std;
typedef long long ll;
#define chmin(a,b) a=min(a,b)
#define chmax(a,b) a=max(a,b)
#define all(x) x.begin(),x.end()
#define rep(i,n) for(int i=0;i<n;i++)
#define mod 1000000007
#define mad(a,b) a=(a+b)%mod
#define mul(a,b) a=a*b%mod
#define N 510
ll po(ll x,ll y){
	ll res=1;
	for(;y;y>>=1){
		if(y&1)mul(res,x);
		x=x*x%mod;
	}
	return res;
}
ll inv[N];

ll C[N][3*N];
void calcc(ll l,ll id){
	ll res=1;
	C[0][id]=1;
	for(ll i=1;i<N;i++){
		mul(res,(l+1LL-i));
		mul(res,inv[i]);
		if(i>l)res=0;
		C[i][id]=res;
	}
}

ll f[N][2*N];
void initf(ll l,ll m,ll id){
	ll res=0;
	for(int i=1;i<=m;i++){
		mad(res,C[i][id]*C[i-1][2*N+m-1]);
	}
	f[m][id]=res;
}

ll n,a[N],b[N];
ll rui[2*N][N];
vector<ll> xs;
ll edge(ll j,ll i,ll ii){
	ll m=rui[j][ii]-rui[j][i];
	return f[m][j];
}

ll dp[N][2*N];
int main(){
	for(int i=1;i<N;i++)inv[i]=po(i,mod-2);
	cin>>n;
	a[0]=b[0]=0;
	for(int i=1;i<=n;i++){
		cin>>a[i]>>b[i];
	}
	a[n+1]=2e9,b[n+1]=2e9;
	for(int i=0;i<=n+1;i++){
		b[i]++;
		xs.push_back(a[i]);
		xs.push_back(b[i]);
	}
	sort(all(xs));
	xs.erase(unique(all(xs)),xs.end());
	for(int i=0;i<=n+1;i++){
		a[i]=lower_bound(all(xs),a[i])-xs.begin();
		b[i]=lower_bound(all(xs),b[i])-xs.begin();
	}
	rep(i,N)calcc(i,i+2*N);
	for(int i=0;i<xs.size()-1;i++){
		calcc(xs[i+1]-xs[i],i);
		for(int m=1;m<N;m++)initf(xs[i+1]-xs[i],m,i);
	}
	rep(j,xs.size()-1){
		rui[j][0]=0;
		for(int i=0;i<=n+1;i++){
			rui[j][i+1]=rui[j][i]+(a[i]<=j&&j<b[i]);
		}
	}
	for(int i=0;i<=n+1;i++)rep(j,xs.size()-1)dp[i][j]=0;
	dp[0][0]=1;
	for(int ii=1;ii<=n+1;ii++){
		for(int jj=a[ii];jj<b[ii];jj++){
			if(jj>a[ii])mad(dp[ii][jj],dp[ii][jj-1]);
			for(int i=0;i<ii;i++)for(int j=(jj==a[ii]?0:jj-1);j<jj;j++){
				mad(dp[ii][jj],dp[i][j]*edge(j,i,ii));
			}
		}
	}
	ll ans=dp[n+1][a[n+1]]+mod-1; ans%=mod;
	cout<<ans<<endl;
}

Compilation message

boat.cpp: In function 'int main()':
boat.cpp:75:15: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for(int i=0;i<xs.size()-1;i++){
              ~^~~~~~~~~~~~
boat.cpp:10:31: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
 #define rep(i,n) for(int i=0;i<n;i++)
boat.cpp:79:6:
  rep(j,xs.size()-1){
      ~~~~~~~~~~~~~             
boat.cpp:79:2: note: in expansion of macro 'rep'
  rep(j,xs.size()-1){
  ^~~
boat.cpp:10:31: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
 #define rep(i,n) for(int i=0;i<n;i++)
boat.cpp:85:29:
  for(int i=0;i<=n+1;i++)rep(j,xs.size()-1)dp[i][j]=0;
                             ~~~~~~~~~~~~~
boat.cpp:85:25: note: in expansion of macro 'rep'
  for(int i=0;i<=n+1;i++)rep(j,xs.size()-1)dp[i][j]=0;
                         ^~~

Subtask #1
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1025 ms 18544 KB Output is correct
2 Correct 1018 ms 18552 KB Output is correct
3 Correct 1056 ms 18552 KB Output is correct
4 Correct 1012 ms 18552 KB Output is correct
5 Correct 1026 ms 18680 KB Output is correct
6 Correct 1154 ms 18680 KB Output is correct
7 Correct 1170 ms 18680 KB Output is correct
8 Correct 1135 ms 18552 KB Output is correct
9 Correct 1145 ms 18752 KB Output is correct
10 Correct 1168 ms 18528 KB Output is correct
11 Correct 1168 ms 18680 KB Output is correct
12 Correct 1154 ms 18552 KB Output is correct
13 Correct 1150 ms 18840 KB Output is correct
14 Correct 1172 ms 18680 KB Output is correct
15 Correct 1173 ms 18552 KB Output is correct
16 Correct 168 ms 11256 KB Output is correct
17 Correct 181 ms 11588 KB Output is correct
18 Correct 172 ms 11384 KB Output is correct
19 Correct 177 ms 11512 KB Output is correct
20 Correct 178 ms 11468 KB Output is correct

Subtask #2
22.0 / 22.0

# Verdict Execution time Memory Grader output
1 Correct 1025 ms 18544 KB Output is correct
2 Correct 1018 ms 18552 KB Output is correct
3 Correct 1056 ms 18552 KB Output is correct
4 Correct 1012 ms 18552 KB Output is correct
5 Correct 1026 ms 18680 KB Output is correct
6 Correct 1154 ms 18680 KB Output is correct
7 Correct 1170 ms 18680 KB Output is correct
8 Correct 1135 ms 18552 KB Output is correct
9 Correct 1145 ms 18752 KB Output is correct
10 Correct 1168 ms 18528 KB Output is correct
11 Correct 1168 ms 18680 KB Output is correct
12 Correct 1154 ms 18552 KB Output is correct
13 Correct 1150 ms 18840 KB Output is correct
14 Correct 1172 ms 18680 KB Output is correct
15 Correct 1173 ms 18552 KB Output is correct
16 Correct 168 ms 11256 KB Output is correct
17 Correct 181 ms 11588 KB Output is correct
18 Correct 172 ms 11384 KB Output is correct
19 Correct 177 ms 11512 KB Output is correct
20 Correct 178 ms 11468 KB Output is correct
21 Correct 1168 ms 18296 KB Output is correct
22 Correct 1153 ms 18260 KB Output is correct
23 Correct 1128 ms 18284 KB Output is correct
24 Correct 1137 ms 18200 KB Output is correct
25 Correct 1144 ms 18296 KB Output is correct
26 Correct 1331 ms 18040 KB Output is correct
27 Correct 1367 ms 18312 KB Output is correct
28 Correct 1314 ms 18168 KB Output is correct
29 Correct 1316 ms 18200 KB Output is correct
30 Correct 1157 ms 18680 KB Output is correct
31 Correct 1154 ms 18552 KB Output is correct
32 Correct 1166 ms 18664 KB Output is correct
33 Correct 1159 ms 18680 KB Output is correct
34 Correct 1148 ms 18680 KB Output is correct
35 Correct 1006 ms 18552 KB Output is correct
36 Correct 1020 ms 18552 KB Output is correct
37 Correct 1006 ms 18680 KB Output is correct
38 Correct 1027 ms 18552 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 145 ms 9336 KB Output is correct
2 Correct 145 ms 9336 KB Output is correct
3 Correct 143 ms 9340 KB Output is correct
4 Correct 149 ms 9592 KB Output is correct
5 Correct 143 ms 9592 KB Output is correct
6 Correct 143 ms 9336 KB Output is correct
7 Correct 148 ms 9464 KB Output is correct
8 Correct 146 ms 9464 KB Output is correct
9 Correct 144 ms 9464 KB Output is correct
10 Correct 152 ms 9428 KB Output is correct
11 Correct 143 ms 9336 KB Output is correct
12 Correct 148 ms 9464 KB Output is correct
13 Correct 145 ms 9336 KB Output is correct
14 Correct 144 ms 9336 KB Output is correct
15 Correct 144 ms 9336 KB Output is correct
16 Correct 92 ms 8312 KB Output is correct
17 Correct 86 ms 8184 KB Output is correct
18 Correct 87 ms 8312 KB Output is correct
19 Correct 87 ms 8312 KB Output is correct
20 Correct 88 ms 8344 KB Output is correct

Subtask #4
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1025 ms 18544 KB Output is correct
2 Correct 1018 ms 18552 KB Output is correct
3 Correct 1056 ms 18552 KB Output is correct
4 Correct 1012 ms 18552 KB Output is correct
5 Correct 1026 ms 18680 KB Output is correct
6 Correct 1154 ms 18680 KB Output is correct
7 Correct 1170 ms 18680 KB Output is correct
8 Correct 1135 ms 18552 KB Output is correct
9 Correct 1145 ms 18752 KB Output is correct
10 Correct 1168 ms 18528 KB Output is correct
11 Correct 1168 ms 18680 KB Output is correct
12 Correct 1154 ms 18552 KB Output is correct
13 Correct 1150 ms 18840 KB Output is correct
14 Correct 1172 ms 18680 KB Output is correct
15 Correct 1173 ms 18552 KB Output is correct
16 Correct 168 ms 11256 KB Output is correct
17 Correct 181 ms 11588 KB Output is correct
18 Correct 172 ms 11384 KB Output is correct
19 Correct 177 ms 11512 KB Output is correct
20 Correct 178 ms 11468 KB Output is correct
21 Correct 1168 ms 18296 KB Output is correct
22 Correct 1153 ms 18260 KB Output is correct
23 Correct 1128 ms 18284 KB Output is correct
24 Correct 1137 ms 18200 KB Output is correct
25 Correct 1144 ms 18296 KB Output is correct
26 Correct 1331 ms 18040 KB Output is correct
27 Correct 1367 ms 18312 KB Output is correct
28 Correct 1314 ms 18168 KB Output is correct
29 Correct 1316 ms 18200 KB Output is correct
30 Correct 1157 ms 18680 KB Output is correct
31 Correct 1154 ms 18552 KB Output is correct
32 Correct 1166 ms 18664 KB Output is correct
33 Correct 1159 ms 18680 KB Output is correct
34 Correct 1148 ms 18680 KB Output is correct
35 Correct 1006 ms 18552 KB Output is correct
36 Correct 1020 ms 18552 KB Output is correct
37 Correct 1006 ms 18680 KB Output is correct
38 Correct 1027 ms 18552 KB Output is correct
39 Correct 145 ms 9336 KB Output is correct
40 Correct 145 ms 9336 KB Output is correct
41 Correct 143 ms 9340 KB Output is correct
42 Correct 149 ms 9592 KB Output is correct
43 Correct 143 ms 9592 KB Output is correct
44 Correct 143 ms 9336 KB Output is correct
45 Correct 148 ms 9464 KB Output is correct
46 Correct 146 ms 9464 KB Output is correct
47 Correct 144 ms 9464 KB Output is correct
48 Correct 152 ms 9428 KB Output is correct
49 Correct 143 ms 9336 KB Output is correct
50 Correct 148 ms 9464 KB Output is correct
51 Correct 145 ms 9336 KB Output is correct
52 Correct 144 ms 9336 KB Output is correct
53 Correct 144 ms 9336 KB Output is correct
54 Correct 92 ms 8312 KB Output is correct
55 Correct 86 ms 8184 KB Output is correct
56 Correct 87 ms 8312 KB Output is correct
57 Correct 87 ms 8312 KB Output is correct
58 Correct 88 ms 8344 KB Output is correct
59 Correct 1287 ms 18680 KB Output is correct
60 Correct 1274 ms 18680 KB Output is correct
61 Correct 1272 ms 18800 KB Output is correct
62 Correct 1292 ms 18552 KB Output is correct
63 Correct 1295 ms 18620 KB Output is correct
64 Correct 1526 ms 18680 KB Output is correct
65 Correct 1560 ms 18648 KB Output is correct
66 Correct 1549 ms 18680 KB Output is correct
67 Correct 1555 ms 18552 KB Output is correct
68 Correct 1548 ms 18744 KB Output is correct
69 Correct 1352 ms 18552 KB Output is correct
70 Correct 1347 ms 18628 KB Output is correct
71 Correct 1339 ms 18680 KB Output is correct
72 Correct 1374 ms 18748 KB Output is correct
73 Correct 1406 ms 18552 KB Output is correct
74 Correct 240 ms 11512 KB Output is correct
75 Correct 236 ms 11512 KB Output is correct
76 Correct 246 ms 11384 KB Output is correct
77 Correct 234 ms 11384 KB Output is correct
78 Correct 229 ms 11384 KB Output is correct