Submission #232699

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
232699	2020-05-17T21:10:19 Z	limabeans	Strange Device (APIO19_strange_device)	C++17	100 / 100	587 ms	69164 KB

strange_device

#include <bits/stdc++.h>
using namespace std;

template<typename T>
void out(T x) { cout << x << endl; exit(0); }
#define watch(x) cout << (#x) << " is " << (x) << endl




typedef long long ll;
const ll mod = 1e9+7;
const int maxn = 1e6 + 5;



ll n, a, b;


ll getx(ll t) {
    return (t+t/b)%a;
}

ll gety(ll t) {
    return t%b;
}






ll merge(vector<pair<ll,ll>> v) {
    sort(v.begin(), v.end());
    // for (auto p: v) {
    // 	cout<<p.first<<" "<<p.second<<endl;
    // }
    
    ll res = 0;

    n = v.size();
    auto cur = v.front();
    for (int i=1; i<n; i++) {
	ll x=v[i].first;
	ll y=v[i].second;
	if (x>cur.second) {
	    res += cur.second-cur.first+1;
	    cur = v[i];
	} else {
	    cur.second=max(cur.second,y);
	}
    }
    res += cur.second-cur.first+1;
    return res;
}

vector<pair<ll,ll>> v;

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

    cin>>n>>a>>b;

    v.resize(n);
    for (int i=0; i<n; i++) {
	cin>>v[i].first>>v[i].second;
    }


    auto safe_lcm = [](ll x, ll y) {
	ll tmp = x / __gcd(x,y+1);
	if (tmp > 1e18/y) return (ll)1e18 + 1;
	return tmp*y;
    };

    ll lcm = safe_lcm(a, b);

    if (lcm>1e18) {
	//merge intervals
	ll res = merge(v);
	out(res);
    }



    vector<pair<ll,ll>> cv;
    
    for (int i=0; i<n; i++) {
	if (v[i].second-v[i].first+1>=lcm) out(lcm);


	
	v[i].first %= lcm;
	v[i].second %= lcm;
	if (v[i].second>=v[i].first) {
	    cv.push_back(v[i]);
	} else {
	    
	    assert(v[i].first>v[i].second);
	    
	    cv.push_back({v[i].first,lcm-1});
	    cv.push_back({0,v[i].second});
	}
    }




    ll ans = merge(cv);
    out(ans);  

    return 0;
}

Subtask #1
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	384 KB	Output is correct
2	Correct	10 ms	896 KB	Output is correct
3	Correct	10 ms	896 KB	Output is correct
4	Correct	5 ms	384 KB	Output is correct
5	Correct	4 ms	384 KB	Output is correct
6	Correct	4 ms	384 KB	Output is correct
7	Correct	5 ms	384 KB	Output is correct
8	Correct	4 ms	384 KB	Output is correct
9	Correct	5 ms	384 KB	Output is correct
10	Correct	5 ms	384 KB	Output is correct
11	Correct	4 ms	384 KB	Output is correct
12	Correct	4 ms	256 KB	Output is correct
13	Correct	5 ms	384 KB	Output is correct
14	Correct	4 ms	384 KB	Output is correct
15	Correct	4 ms	384 KB	Output is correct
16	Correct	10 ms	896 KB	Output is correct
17	Correct	61 ms	5100 KB	Output is correct
18	Correct	5 ms	384 KB	Output is correct

Subtask #2
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	384 KB	Output is correct
2	Correct	4 ms	384 KB	Output is correct
3	Correct	4 ms	384 KB	Output is correct
4	Correct	4 ms	384 KB	Output is correct
5	Correct	4 ms	384 KB	Output is correct

Subtask #3
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	384 KB	Output is correct
2	Correct	5 ms	384 KB	Output is correct
3	Correct	5 ms	384 KB	Output is correct
4	Correct	5 ms	384 KB	Output is correct
5	Correct	378 ms	47456 KB	Output is correct

Subtask #4
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	384 KB	Output is correct
2	Correct	524 ms	47456 KB	Output is correct
3	Correct	512 ms	47560 KB	Output is correct
4	Correct	511 ms	47564 KB	Output is correct

Subtask #5
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	384 KB	Output is correct
2	Correct	524 ms	47456 KB	Output is correct
3	Correct	512 ms	47560 KB	Output is correct
4	Correct	511 ms	47564 KB	Output is correct
5	Correct	5 ms	384 KB	Output is correct
6	Correct	529 ms	47572 KB	Output is correct
7	Correct	527 ms	47576 KB	Output is correct
8	Correct	516 ms	47444 KB	Output is correct
9	Correct	561 ms	47580 KB	Output is correct

Subtask #6
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	384 KB	Output is correct
2	Correct	524 ms	47456 KB	Output is correct
3	Correct	512 ms	47560 KB	Output is correct
4	Correct	511 ms	47564 KB	Output is correct
5	Correct	5 ms	384 KB	Output is correct
6	Correct	55 ms	5232 KB	Output is correct
7	Correct	58 ms	5228 KB	Output is correct
8	Correct	54 ms	5100 KB	Output is correct
9	Correct	54 ms	5232 KB	Output is correct
10	Correct	56 ms	5228 KB	Output is correct
11	Correct	56 ms	5228 KB	Output is correct
12	Correct	53 ms	5100 KB	Output is correct
13	Correct	57 ms	5100 KB	Output is correct
14	Correct	53 ms	5228 KB	Output is correct
15	Correct	60 ms	5228 KB	Output is correct
16	Correct	59 ms	5100 KB	Output is correct
17	Correct	56 ms	5236 KB	Output is correct
18	Correct	529 ms	47596 KB	Output is correct
19	Correct	511 ms	47444 KB	Output is correct
20	Correct	562 ms	47500 KB	Output is correct
21	Correct	58 ms	5100 KB	Output is correct
22	Correct	53 ms	5228 KB	Output is correct
23	Correct	167 ms	16488 KB	Output is correct

Subtask #7
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	5 ms	384 KB	Output is correct
2	Correct	58 ms	5100 KB	Output is correct
3	Correct	60 ms	5228 KB	Output is correct
4	Correct	584 ms	47560 KB	Output is correct
5	Correct	57 ms	5100 KB	Output is correct
6	Correct	61 ms	5220 KB	Output is correct
7	Correct	57 ms	5100 KB	Output is correct
8	Correct	64 ms	5228 KB	Output is correct
9	Correct	60 ms	5228 KB	Output is correct
10	Correct	59 ms	5104 KB	Output is correct
11	Correct	58 ms	5100 KB	Output is correct
12	Correct	55 ms	5100 KB	Output is correct
13	Correct	58 ms	5100 KB	Output is correct
14	Correct	557 ms	47584 KB	Output is correct
15	Correct	59 ms	5100 KB	Output is correct
16	Correct	524 ms	47520 KB	Output is correct
17	Correct	509 ms	47428 KB	Output is correct
18	Correct	4 ms	384 KB	Output is correct

Subtask #8
30.0 / 30.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	384 KB	Output is correct
2	Correct	10 ms	896 KB	Output is correct
3	Correct	10 ms	896 KB	Output is correct
4	Correct	5 ms	384 KB	Output is correct
5	Correct	4 ms	384 KB	Output is correct
6	Correct	4 ms	384 KB	Output is correct
7	Correct	5 ms	384 KB	Output is correct
8	Correct	4 ms	384 KB	Output is correct
9	Correct	5 ms	384 KB	Output is correct
10	Correct	5 ms	384 KB	Output is correct
11	Correct	4 ms	384 KB	Output is correct
12	Correct	4 ms	256 KB	Output is correct
13	Correct	5 ms	384 KB	Output is correct
14	Correct	4 ms	384 KB	Output is correct
15	Correct	4 ms	384 KB	Output is correct
16	Correct	10 ms	896 KB	Output is correct
17	Correct	61 ms	5100 KB	Output is correct
18	Correct	5 ms	384 KB	Output is correct
19	Correct	4 ms	384 KB	Output is correct
20	Correct	4 ms	384 KB	Output is correct
21	Correct	4 ms	384 KB	Output is correct
22	Correct	4 ms	384 KB	Output is correct
23	Correct	4 ms	384 KB	Output is correct
24	Correct	5 ms	384 KB	Output is correct
25	Correct	5 ms	384 KB	Output is correct
26	Correct	5 ms	384 KB	Output is correct
27	Correct	5 ms	384 KB	Output is correct
28	Correct	378 ms	47456 KB	Output is correct
29	Correct	4 ms	384 KB	Output is correct
30	Correct	524 ms	47456 KB	Output is correct
31	Correct	512 ms	47560 KB	Output is correct
32	Correct	511 ms	47564 KB	Output is correct
33	Correct	5 ms	384 KB	Output is correct
34	Correct	529 ms	47572 KB	Output is correct
35	Correct	527 ms	47576 KB	Output is correct
36	Correct	516 ms	47444 KB	Output is correct
37	Correct	561 ms	47580 KB	Output is correct
38	Correct	5 ms	384 KB	Output is correct
39	Correct	55 ms	5232 KB	Output is correct
40	Correct	58 ms	5228 KB	Output is correct
41	Correct	54 ms	5100 KB	Output is correct
42	Correct	54 ms	5232 KB	Output is correct
43	Correct	56 ms	5228 KB	Output is correct
44	Correct	56 ms	5228 KB	Output is correct
45	Correct	53 ms	5100 KB	Output is correct
46	Correct	57 ms	5100 KB	Output is correct
47	Correct	53 ms	5228 KB	Output is correct
48	Correct	60 ms	5228 KB	Output is correct
49	Correct	59 ms	5100 KB	Output is correct
50	Correct	56 ms	5236 KB	Output is correct
51	Correct	529 ms	47596 KB	Output is correct
52	Correct	511 ms	47444 KB	Output is correct
53	Correct	562 ms	47500 KB	Output is correct
54	Correct	58 ms	5100 KB	Output is correct
55	Correct	53 ms	5228 KB	Output is correct
56	Correct	167 ms	16488 KB	Output is correct
57	Correct	5 ms	384 KB	Output is correct
58	Correct	58 ms	5100 KB	Output is correct
59	Correct	60 ms	5228 KB	Output is correct
60	Correct	584 ms	47560 KB	Output is correct
61	Correct	57 ms	5100 KB	Output is correct
62	Correct	61 ms	5220 KB	Output is correct
63	Correct	57 ms	5100 KB	Output is correct
64	Correct	64 ms	5228 KB	Output is correct
65	Correct	60 ms	5228 KB	Output is correct
66	Correct	59 ms	5104 KB	Output is correct
67	Correct	58 ms	5100 KB	Output is correct
68	Correct	55 ms	5100 KB	Output is correct
69	Correct	58 ms	5100 KB	Output is correct
70	Correct	557 ms	47584 KB	Output is correct
71	Correct	59 ms	5100 KB	Output is correct
72	Correct	524 ms	47520 KB	Output is correct
73	Correct	509 ms	47428 KB	Output is correct
74	Correct	4 ms	384 KB	Output is correct
75	Correct	4 ms	384 KB	Output is correct
76	Correct	4 ms	384 KB	Output is correct
77	Correct	4 ms	384 KB	Output is correct
78	Correct	4 ms	384 KB	Output is correct
79	Correct	10 ms	1280 KB	Output is correct
80	Correct	587 ms	69164 KB	Output is correct
81	Correct	582 ms	67924 KB	Output is correct
82	Correct	572 ms	67876 KB	Output is correct
83	Correct	551 ms	68036 KB	Output is correct
84	Correct	573 ms	67908 KB	Output is correct
85	Correct	561 ms	68180 KB	Output is correct
86	Correct	167 ms	28900 KB	Output is correct
87	Correct	5 ms	384 KB	Output is correct

Submission #232699

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