Submission #410637

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
410637	2021-05-23T08:10:10 Z	dynam1c	Strange Device (APIO19_strange_device)	C++17	100 / 100	959 ms	97704 KB

strange_device

//#pragma comment(linker, "/stack:200000000")
//#pragma GCC optimize("Ofast")
//#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,tune=native")
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;

#define endl "\n"
#define all(c) (c).begin(),(c).end()

// when you ponder, divide and conquer

#define lo __int128

lo _gcd(lo x, lo y) {
	if (x == 0) return y;
	return _gcd(y % x, x);
}

signed main() {
	// freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout);
	std::ios::sync_with_stdio(false);
	cin.tie(0);
	
	ll n, a, b;
	cin >> n >> a >> b;
	lo g = _gcd(b+1, (lo) a*b);
	lo m = (lo) a * b / g;
	vector<pair<lo, int>> evs;
	for (int i = 0; i < n; i++) {
		ll xl, xr;
		cin >> xl >> xr;
		xr++;
		if (xr-xl >= m) {
			cout << ((ll) m) << endl;
			return 0;
		}
		lo l = xl % m;
		lo r = xr % m;
		if (r <= l)
			evs.emplace_back(0, -1), evs.emplace_back(r, 1), evs.emplace_back(l, -1), evs.emplace_back(m, 1);
		else
			evs.emplace_back(l, -1), evs.emplace_back(r, 1);
	}
	sort(all(evs));
	ll res = 0;
	lo p = 0;
	int c = 0;
	for (auto [x, t] : evs) {
		if (c == 0) p = x;
		c -= t;
		if (c == 0) res += x-p;
	}
	cout << res << endl;
}
/* --- PSolving ---
 * Simplifying (getting rid of variables, conditions, code logic, etc.)
 * Reframing
 * Solving a subtask (subgoal, aux. problem, removing a condition or fixing a parameter, etc.)
 * Inducing
 * Divide and conquer
 * Working backwards
 * Visual intuition
 * !! Reductions don't have to be specializations, they can be generalizations
 */

Subtask #1
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	7 ms	1484 KB	Output is correct
3	Correct	7 ms	1484 KB	Output is correct
4	Correct	1 ms	204 KB	Output is correct
5	Correct	1 ms	204 KB	Output is correct
6	Correct	1 ms	204 KB	Output is correct
7	Correct	1 ms	204 KB	Output is correct
8	Correct	1 ms	204 KB	Output is correct
9	Correct	1 ms	204 KB	Output is correct
10	Correct	1 ms	204 KB	Output is correct
11	Correct	1 ms	204 KB	Output is correct
12	Correct	1 ms	204 KB	Output is correct
13	Correct	1 ms	204 KB	Output is correct
14	Correct	1 ms	204 KB	Output is correct
15	Correct	1 ms	204 KB	Output is correct
16	Correct	7 ms	1484 KB	Output is correct
17	Correct	81 ms	8616 KB	Output is correct
18	Correct	1 ms	204 KB	Output is correct

Subtask #2
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	204 KB	Output is correct
3	Correct	1 ms	204 KB	Output is correct
4	Correct	1 ms	204 KB	Output is correct
5	Correct	1 ms	204 KB	Output is correct

Subtask #3
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	1 ms	332 KB	Output is correct
3	Correct	1 ms	332 KB	Output is correct
4	Correct	2 ms	332 KB	Output is correct
5	Correct	482 ms	66000 KB	Output is correct

Subtask #4
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	696 ms	66076 KB	Output is correct
3	Correct	745 ms	66020 KB	Output is correct
4	Correct	684 ms	66080 KB	Output is correct

Subtask #5
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	696 ms	66076 KB	Output is correct
3	Correct	745 ms	66020 KB	Output is correct
4	Correct	684 ms	66080 KB	Output is correct
5	Correct	1 ms	204 KB	Output is correct
6	Correct	696 ms	66028 KB	Output is correct
7	Correct	744 ms	66084 KB	Output is correct
8	Correct	681 ms	66220 KB	Output is correct
9	Correct	896 ms	66056 KB	Output is correct

Subtask #6
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	696 ms	66076 KB	Output is correct
3	Correct	745 ms	66020 KB	Output is correct
4	Correct	684 ms	66080 KB	Output is correct
5	Correct	1 ms	204 KB	Output is correct
6	Correct	64 ms	8612 KB	Output is correct
7	Correct	72 ms	8648 KB	Output is correct
8	Correct	61 ms	8640 KB	Output is correct
9	Correct	65 ms	8624 KB	Output is correct
10	Correct	59 ms	8560 KB	Output is correct
11	Correct	67 ms	8660 KB	Output is correct
12	Correct	62 ms	8628 KB	Output is correct
13	Correct	72 ms	8632 KB	Output is correct
14	Correct	62 ms	8544 KB	Output is correct
15	Correct	82 ms	8564 KB	Output is correct
16	Correct	74 ms	8656 KB	Output is correct
17	Correct	63 ms	8572 KB	Output is correct
18	Correct	806 ms	66240 KB	Output is correct
19	Correct	687 ms	66044 KB	Output is correct
20	Correct	901 ms	66028 KB	Output is correct
21	Correct	86 ms	8672 KB	Output is correct
22	Correct	60 ms	8560 KB	Output is correct
23	Correct	205 ms	33164 KB	Output is correct

Subtask #7
20.0 / 20.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	75 ms	8640 KB	Output is correct
3	Correct	74 ms	8576 KB	Output is correct
4	Correct	941 ms	66180 KB	Output is correct
5	Correct	75 ms	8724 KB	Output is correct
6	Correct	73 ms	8584 KB	Output is correct
7	Correct	76 ms	8616 KB	Output is correct
8	Correct	94 ms	8568 KB	Output is correct
9	Correct	71 ms	8652 KB	Output is correct
10	Correct	79 ms	8624 KB	Output is correct
11	Correct	73 ms	8684 KB	Output is correct
12	Correct	66 ms	8600 KB	Output is correct
13	Correct	79 ms	8624 KB	Output is correct
14	Correct	881 ms	66120 KB	Output is correct
15	Correct	80 ms	8548 KB	Output is correct
16	Correct	679 ms	66040 KB	Output is correct
17	Correct	696 ms	66028 KB	Output is correct
18	Correct	1 ms	204 KB	Output is correct

Subtask #8
30.0 / 30.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	1 ms	204 KB	Output is correct
2	Correct	7 ms	1484 KB	Output is correct
3	Correct	7 ms	1484 KB	Output is correct
4	Correct	1 ms	204 KB	Output is correct
5	Correct	1 ms	204 KB	Output is correct
6	Correct	1 ms	204 KB	Output is correct
7	Correct	1 ms	204 KB	Output is correct
8	Correct	1 ms	204 KB	Output is correct
9	Correct	1 ms	204 KB	Output is correct
10	Correct	1 ms	204 KB	Output is correct
11	Correct	1 ms	204 KB	Output is correct
12	Correct	1 ms	204 KB	Output is correct
13	Correct	1 ms	204 KB	Output is correct
14	Correct	1 ms	204 KB	Output is correct
15	Correct	1 ms	204 KB	Output is correct
16	Correct	7 ms	1484 KB	Output is correct
17	Correct	81 ms	8616 KB	Output is correct
18	Correct	1 ms	204 KB	Output is correct
19	Correct	1 ms	204 KB	Output is correct
20	Correct	1 ms	204 KB	Output is correct
21	Correct	1 ms	204 KB	Output is correct
22	Correct	1 ms	204 KB	Output is correct
23	Correct	1 ms	204 KB	Output is correct
24	Correct	1 ms	204 KB	Output is correct
25	Correct	1 ms	332 KB	Output is correct
26	Correct	1 ms	332 KB	Output is correct
27	Correct	2 ms	332 KB	Output is correct
28	Correct	482 ms	66000 KB	Output is correct
29	Correct	1 ms	204 KB	Output is correct
30	Correct	696 ms	66076 KB	Output is correct
31	Correct	745 ms	66020 KB	Output is correct
32	Correct	684 ms	66080 KB	Output is correct
33	Correct	1 ms	204 KB	Output is correct
34	Correct	696 ms	66028 KB	Output is correct
35	Correct	744 ms	66084 KB	Output is correct
36	Correct	681 ms	66220 KB	Output is correct
37	Correct	896 ms	66056 KB	Output is correct
38	Correct	1 ms	204 KB	Output is correct
39	Correct	64 ms	8612 KB	Output is correct
40	Correct	72 ms	8648 KB	Output is correct
41	Correct	61 ms	8640 KB	Output is correct
42	Correct	65 ms	8624 KB	Output is correct
43	Correct	59 ms	8560 KB	Output is correct
44	Correct	67 ms	8660 KB	Output is correct
45	Correct	62 ms	8628 KB	Output is correct
46	Correct	72 ms	8632 KB	Output is correct
47	Correct	62 ms	8544 KB	Output is correct
48	Correct	82 ms	8564 KB	Output is correct
49	Correct	74 ms	8656 KB	Output is correct
50	Correct	63 ms	8572 KB	Output is correct
51	Correct	806 ms	66240 KB	Output is correct
52	Correct	687 ms	66044 KB	Output is correct
53	Correct	901 ms	66028 KB	Output is correct
54	Correct	86 ms	8672 KB	Output is correct
55	Correct	60 ms	8560 KB	Output is correct
56	Correct	205 ms	33164 KB	Output is correct
57	Correct	1 ms	204 KB	Output is correct
58	Correct	75 ms	8640 KB	Output is correct
59	Correct	74 ms	8576 KB	Output is correct
60	Correct	941 ms	66180 KB	Output is correct
61	Correct	75 ms	8724 KB	Output is correct
62	Correct	73 ms	8584 KB	Output is correct
63	Correct	76 ms	8616 KB	Output is correct
64	Correct	94 ms	8568 KB	Output is correct
65	Correct	71 ms	8652 KB	Output is correct
66	Correct	79 ms	8624 KB	Output is correct
67	Correct	73 ms	8684 KB	Output is correct
68	Correct	66 ms	8600 KB	Output is correct
69	Correct	79 ms	8624 KB	Output is correct
70	Correct	881 ms	66120 KB	Output is correct
71	Correct	80 ms	8548 KB	Output is correct
72	Correct	679 ms	66040 KB	Output is correct
73	Correct	696 ms	66028 KB	Output is correct
74	Correct	1 ms	204 KB	Output is correct
75	Correct	1 ms	204 KB	Output is correct
76	Correct	1 ms	204 KB	Output is correct
77	Correct	1 ms	204 KB	Output is correct
78	Correct	1 ms	204 KB	Output is correct
79	Correct	7 ms	1860 KB	Output is correct
80	Correct	944 ms	95768 KB	Output is correct
81	Correct	959 ms	95756 KB	Output is correct
82	Correct	899 ms	95904 KB	Output is correct
83	Correct	893 ms	95656 KB	Output is correct
84	Correct	889 ms	97704 KB	Output is correct
85	Correct	892 ms	95680 KB	Output is correct
86	Correct	200 ms	43024 KB	Output is correct
87	Correct	1 ms	332 KB	Output is correct

Submission #410637

Compilation message