Submission #933161

# Submission time Handle Problem Language Result Execution time Memory
933161 2024-02-25T07:35:47 Z 8pete8 Strange Device (APIO19_strange_device) C++17
100 / 100
1316 ms 178732 KB
#include<iostream>
#include<stack>
#include<map>
#include<vector>
#include<string>
#include<unordered_map>
#include <queue>
#include<cstring>
#include<cassert>
#include<limits.h>
#include<cmath>
#include<set>
#include<numeric> //gcd(a,b)
#include<algorithm>
#include<bitset> 
#include<stack>
using namespace std;
#define ll long long
#define f first
#define endl "\n"
#define s second
#define pii pair<int,int>
#define pppiiii pair<pii,pii>
#define ppii pair<int,pii>
#define all(x) x.begin(),x.end()
#define rall(x) x.rbegin(),x.rend()
#define pb push_back
//#define mp make_pair
#define lb lower_bound
#define ub upper_bound
#define fastio ios::sync_with_stdio(false);cin.tie(NULL);
#pragma GCC optimize ("03,unroll-loops")
#define int long long
const int mod=1e9+7,mxn=1e6,lg=30,inf=1e18,minf=-1e18,Mxn=2e6,root=700;
void setIO(string name){
	ios_base::sync_with_stdio(0); cin.tie(0);		
	freopen((name+".in").c_str(),"r",stdin);		
	freopen((name+".out").c_str(),"w",stdout);	
}	 
map<int,int>mp;
int li[mxn+10],ri[mxn+10];
int32_t main(){
	fastio
	int n;cin>>n;
	int a,b;cin>>a>>b;
	int k,sum=0;
	for(int i=0;i<n;i++)cin>>li[i]>>ri[i],sum+=ri[i]-li[i]+1;
	k=(gcd(a,b+1));
	if((double)(ri[n-1]*1.0/(a*1.0/k))<=(double)(b))return cout<<sum,0;
	k=a/k;
	k=k*b;
	bool yes=false;
	mp[k-1]=0;
	mp[0]=0;
	for(int i=0;i<n;i++){
		int l=li[i],r=ri[i];
		if(r-l+1>=k)yes=1;
		else{
			l%=k,r%=k;
			mp[l-1]+=0;
			mp[l]+=1;
			if(r+1<k)mp[r+1]-=1;
			mp[r]+=0;
			if(l>r)mp[0]+=1;
		}
	}
	if(yes)return cout<<k<<'\n',0;
	sum=0;
	int ans=0,last=-1;
	for(auto i:mp){
		sum+=i.s;
		if(sum)ans+=i.f-last;
		last=i.f;
	}
	cout<<ans;
	/*
	observation:
	y=t mod b
	x=(t+(k*b)+[t/b]+k)%a
	x=t+t[t/b]%a
	(k*(b+1))%a==0
	case 1 : (b+1)%a==0 -> k can be anything -> if y equal is equal ->k==1
	case 2 : k%a==0 -> k=g(a) -> k is a multiple of a ->val jump every k*b
	*|k=lcm(a,b+1)/(b+1)|*
	considering 1 range l,r
	first occurance of y=t mod b
	
	if r-l+1>k then it will cover all k
 
	block of b (range where all y value will be distinct)
	|		|		|		|
	if(k==2)
	block will be (range where all (x,y) value will be distinct)
	|				|				|
	
	find ways to count x%(a*b) or x%b
	in a given set of range l,r
	l,r will cover a range of block
	can use prefix sum??
	*/
}

Compilation message

strange_device.cpp: In function 'void setIO(std::string)':
strange_device.cpp:37:9: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   37 |  freopen((name+".in").c_str(),"r",stdin);
      |  ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
strange_device.cpp:38:9: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   38 |  freopen((name+".out").c_str(),"w",stdout);
      |  ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 7 ms 3744 KB Output is correct
3 Correct 7 ms 3676 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2508 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2392 KB Output is correct
15 Correct 1 ms 2392 KB Output is correct
16 Correct 6 ms 3676 KB Output is correct
17 Correct 62 ms 12924 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2652 KB Output is correct
3 Correct 1 ms 2652 KB Output is correct
4 Correct 1 ms 2652 KB Output is correct
5 Correct 199 ms 35972 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 647 ms 108168 KB Output is correct
3 Correct 842 ms 178312 KB Output is correct
4 Correct 913 ms 178460 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 647 ms 108168 KB Output is correct
3 Correct 842 ms 178312 KB Output is correct
4 Correct 913 ms 178460 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 836 ms 178572 KB Output is correct
7 Correct 694 ms 115812 KB Output is correct
8 Correct 857 ms 178280 KB Output is correct
9 Correct 1099 ms 178512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 647 ms 108168 KB Output is correct
3 Correct 842 ms 178312 KB Output is correct
4 Correct 913 ms 178460 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct
6 Correct 66 ms 22896 KB Output is correct
7 Correct 73 ms 22868 KB Output is correct
8 Correct 68 ms 22872 KB Output is correct
9 Correct 75 ms 23016 KB Output is correct
10 Correct 65 ms 23012 KB Output is correct
11 Correct 67 ms 22880 KB Output is correct
12 Correct 73 ms 23256 KB Output is correct
13 Correct 79 ms 22852 KB Output is correct
14 Correct 67 ms 22880 KB Output is correct
15 Correct 81 ms 22972 KB Output is correct
16 Correct 89 ms 22868 KB Output is correct
17 Correct 78 ms 22860 KB Output is correct
18 Correct 831 ms 178704 KB Output is correct
19 Correct 1018 ms 178644 KB Output is correct
20 Correct 1036 ms 178292 KB Output is correct
21 Correct 92 ms 22984 KB Output is correct
22 Correct 75 ms 22868 KB Output is correct
23 Correct 86 ms 23268 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 79 ms 19232 KB Output is correct
3 Correct 90 ms 19276 KB Output is correct
4 Correct 1172 ms 170656 KB Output is correct
5 Correct 92 ms 22812 KB Output is correct
6 Correct 97 ms 22884 KB Output is correct
7 Correct 110 ms 23028 KB Output is correct
8 Correct 97 ms 22992 KB Output is correct
9 Correct 81 ms 22988 KB Output is correct
10 Correct 78 ms 22876 KB Output is correct
11 Correct 84 ms 23264 KB Output is correct
12 Correct 79 ms 23000 KB Output is correct
13 Correct 106 ms 22864 KB Output is correct
14 Correct 1316 ms 178692 KB Output is correct
15 Correct 82 ms 23012 KB Output is correct
16 Correct 886 ms 178380 KB Output is correct
17 Correct 835 ms 178332 KB Output is correct
18 Correct 1 ms 2648 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 7 ms 3744 KB Output is correct
3 Correct 7 ms 3676 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2508 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2392 KB Output is correct
15 Correct 1 ms 2392 KB Output is correct
16 Correct 6 ms 3676 KB Output is correct
17 Correct 62 ms 12924 KB Output is correct
18 Correct 1 ms 2396 KB Output is correct
19 Correct 1 ms 2396 KB Output is correct
20 Correct 0 ms 2396 KB Output is correct
21 Correct 1 ms 2392 KB Output is correct
22 Correct 1 ms 2396 KB Output is correct
23 Correct 1 ms 2396 KB Output is correct
24 Correct 1 ms 2392 KB Output is correct
25 Correct 1 ms 2652 KB Output is correct
26 Correct 1 ms 2652 KB Output is correct
27 Correct 1 ms 2652 KB Output is correct
28 Correct 199 ms 35972 KB Output is correct
29 Correct 1 ms 2392 KB Output is correct
30 Correct 647 ms 108168 KB Output is correct
31 Correct 842 ms 178312 KB Output is correct
32 Correct 913 ms 178460 KB Output is correct
33 Correct 1 ms 2396 KB Output is correct
34 Correct 836 ms 178572 KB Output is correct
35 Correct 694 ms 115812 KB Output is correct
36 Correct 857 ms 178280 KB Output is correct
37 Correct 1099 ms 178512 KB Output is correct
38 Correct 1 ms 2392 KB Output is correct
39 Correct 66 ms 22896 KB Output is correct
40 Correct 73 ms 22868 KB Output is correct
41 Correct 68 ms 22872 KB Output is correct
42 Correct 75 ms 23016 KB Output is correct
43 Correct 65 ms 23012 KB Output is correct
44 Correct 67 ms 22880 KB Output is correct
45 Correct 73 ms 23256 KB Output is correct
46 Correct 79 ms 22852 KB Output is correct
47 Correct 67 ms 22880 KB Output is correct
48 Correct 81 ms 22972 KB Output is correct
49 Correct 89 ms 22868 KB Output is correct
50 Correct 78 ms 22860 KB Output is correct
51 Correct 831 ms 178704 KB Output is correct
52 Correct 1018 ms 178644 KB Output is correct
53 Correct 1036 ms 178292 KB Output is correct
54 Correct 92 ms 22984 KB Output is correct
55 Correct 75 ms 22868 KB Output is correct
56 Correct 86 ms 23268 KB Output is correct
57 Correct 0 ms 2396 KB Output is correct
58 Correct 79 ms 19232 KB Output is correct
59 Correct 90 ms 19276 KB Output is correct
60 Correct 1172 ms 170656 KB Output is correct
61 Correct 92 ms 22812 KB Output is correct
62 Correct 97 ms 22884 KB Output is correct
63 Correct 110 ms 23028 KB Output is correct
64 Correct 97 ms 22992 KB Output is correct
65 Correct 81 ms 22988 KB Output is correct
66 Correct 78 ms 22876 KB Output is correct
67 Correct 84 ms 23264 KB Output is correct
68 Correct 79 ms 23000 KB Output is correct
69 Correct 106 ms 22864 KB Output is correct
70 Correct 1316 ms 178692 KB Output is correct
71 Correct 82 ms 23012 KB Output is correct
72 Correct 886 ms 178380 KB Output is correct
73 Correct 835 ms 178332 KB Output is correct
74 Correct 1 ms 2648 KB Output is correct
75 Correct 1 ms 2652 KB Output is correct
76 Correct 0 ms 2396 KB Output is correct
77 Correct 1 ms 2396 KB Output is correct
78 Correct 1 ms 2392 KB Output is correct
79 Correct 7 ms 4188 KB Output is correct
80 Correct 1000 ms 178520 KB Output is correct
81 Correct 1072 ms 178452 KB Output is correct
82 Correct 1303 ms 178732 KB Output is correct
83 Correct 1286 ms 178572 KB Output is correct
84 Correct 1184 ms 178372 KB Output is correct
85 Correct 1029 ms 178460 KB Output is correct
86 Correct 90 ms 23404 KB Output is correct
87 Correct 1 ms 2516 KB Output is correct