Submission #539389

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
539389	2022-03-18T19:49:29 Z	singlabharat	Cryptography (NOI20_crypto)	C++17	100 / 100	481 ms	29132 KB

Crypto

#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
#define int long long
using vi = vector<int>;
using vs = vector<string>;
using vb = vector<bool>;
using vvi = vector<vector<int>>;
using pii = pair<int, int>;
using vpii = vector<pair<int, int>>;
using si = set<int>;
using mii = map<int, int>;
template<typename T> using pbds = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
#define sz(x) (int)size(x)
#define pb emplace_back
#define all(x) begin(x), end(x)
#define rall(x) rbegin(x), rend(x)
#define fr first
#define sc second
#define f(i, end) for (int i = 0; i < end; i++)
#define ff(i, start, end) for (int i = start; i < end; i++)
template<typename T, typename U> inline void domin(T &x, U y) {if (y < x) x = y;}
template<typename T, typename U> inline void domax(T &x, U y) {if (y > x) x = y;}
template<typename T, typename U> ostream& operator<<(ostream &os, const pair<T, U> &p) { return os << '(' << p.first << ", " << p.second << ')'; }
template < typename T_container, typename T = typename enable_if < !is_same<T_container, string>::value, typename T_container::value_type >::type > ostream & operator<<(ostream &os, const T_container &a) { os << '{'; string sep; for (const T &x : a) os << sep << x, sep = ", "; return os << '}';}
void debug() {cerr << endl;}
template <typename Head, typename... Tail> void debug(Head h, Tail... t) {cerr << h << ' '; debug(t...);}
#ifdef singlabharat
#define debug(...) cerr << "(" << #__VA_ARGS__ << ") : ", debug(__VA_ARGS__)
#else
#define debug(...)
#endif
#define endl '\n'
const int MX = 3e5 + 2, INF = 1e18, MOD = 1e9 + 7;

void solve() {

	vi fact(MX);
	fact[0] = 1;
	ff(i, 1, MX) fact[i] = (fact[i - 1] * i) % MOD;

	int n;
	cin >> n;
	vi a(n);
	f(i, n) cin >> a[i];

	pbds<int> os;
	vi dp(n + 1); //dp[i] -> #permutations of a[i..] <= a[i..]
	dp[n] = 1;
	for (int i = n - 1; i >= 0; i--) {
		dp[i] = os.order_of_key(a[i]) * fact[n - i - 1] + dp[i + 1];
		dp[i] %= MOD;
		os.insert(a[i]);
	}
	
	cout << dp[0];
}

int32_t main() {

#ifdef singlabharat
	freopen("error.txt", "w", stderr);
#endif

	cin.tie(0)->sync_with_stdio(0);

	int t = 1;
	// cin >> t;

	for (int tc = 0; tc < t; tc++) solve();
}

Subtask #1
5.0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	2644 KB	Output is correct
2	Correct	3 ms	2644 KB	Output is correct

Subtask #2
9.0 / 9.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	2644 KB	Output is correct
2	Correct	3 ms	2644 KB	Output is correct
3	Correct	4 ms	2644 KB	Output is correct
4	Correct	3 ms	2644 KB	Output is correct
5	Correct	3 ms	2644 KB	Output is correct
6	Correct	4 ms	2644 KB	Output is correct
7	Correct	3 ms	2644 KB	Output is correct
8	Correct	4 ms	2644 KB	Output is correct
9	Correct	4 ms	2644 KB	Output is correct
10	Correct	3 ms	2644 KB	Output is correct
11	Correct	4 ms	2684 KB	Output is correct
12	Correct	4 ms	2644 KB	Output is correct
13	Correct	4 ms	2644 KB	Output is correct
14	Correct	4 ms	2644 KB	Output is correct
15	Correct	4 ms	2644 KB	Output is correct
16	Correct	3 ms	2644 KB	Output is correct
17	Correct	4 ms	2644 KB	Output is correct
18	Correct	5 ms	2680 KB	Output is correct
19	Correct	5 ms	2644 KB	Output is correct
20	Correct	4 ms	2644 KB	Output is correct
21	Correct	4 ms	2644 KB	Output is correct
22	Correct	3 ms	2644 KB	Output is correct
23	Correct	4 ms	2644 KB	Output is correct
24	Correct	4 ms	2644 KB	Output is correct

Subtask #3
10.0 / 10.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	3 ms	2644 KB	Output is correct
2	Correct	286 ms	29052 KB	Output is correct
3	Correct	280 ms	29012 KB	Output is correct
4	Correct	317 ms	29040 KB	Output is correct
5	Correct	283 ms	29056 KB	Output is correct
6	Correct	254 ms	28936 KB	Output is correct
7	Correct	249 ms	28988 KB	Output is correct
8	Correct	239 ms	29072 KB	Output is correct
9	Correct	249 ms	28964 KB	Output is correct
10	Correct	241 ms	28948 KB	Output is correct
11	Correct	271 ms	29064 KB	Output is correct
12	Correct	345 ms	28972 KB	Output is correct
13	Correct	338 ms	28936 KB	Output is correct
14	Correct	481 ms	28940 KB	Output is correct
15	Correct	301 ms	28980 KB	Output is correct
16	Correct	312 ms	28928 KB	Output is correct
17	Correct	289 ms	29132 KB	Output is correct
18	Correct	327 ms	29120 KB	Output is correct
19	Correct	328 ms	29032 KB	Output is correct
20	Correct	400 ms	28960 KB	Output is correct
21	Correct	357 ms	28972 KB	Output is correct

Subtask #4
11.0 / 11.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	2644 KB	Output is correct
2	Correct	294 ms	28056 KB	Output is correct
3	Correct	326 ms	28244 KB	Output is correct
4	Correct	260 ms	28120 KB	Output is correct
5	Correct	238 ms	28092 KB	Output is correct
6	Correct	316 ms	28044 KB	Output is correct
7	Correct	290 ms	28064 KB	Output is correct
8	Correct	231 ms	28184 KB	Output is correct
9	Correct	256 ms	28064 KB	Output is correct
10	Correct	315 ms	28084 KB	Output is correct
11	Correct	281 ms	28128 KB	Output is correct
12	Correct	283 ms	27984 KB	Output is correct
13	Correct	237 ms	28016 KB	Output is correct
14	Correct	293 ms	28064 KB	Output is correct
15	Correct	379 ms	28016 KB	Output is correct
16	Correct	315 ms	28048 KB	Output is correct
17	Correct	284 ms	28080 KB	Output is correct
18	Correct	297 ms	28012 KB	Output is correct
19	Correct	293 ms	28092 KB	Output is correct
20	Correct	291 ms	28056 KB	Output is correct
21	Correct	322 ms	28040 KB	Output is correct

Subtask #5
21.0 / 21.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	2644 KB	Output is correct
2	Correct	5 ms	2820 KB	Output is correct
3	Correct	5 ms	2900 KB	Output is correct
4	Correct	5 ms	2900 KB	Output is correct
5	Correct	5 ms	2808 KB	Output is correct
6	Correct	5 ms	2900 KB	Output is correct
7	Correct	4 ms	2900 KB	Output is correct
8	Correct	5 ms	2900 KB	Output is correct
9	Correct	4 ms	2900 KB	Output is correct
10	Correct	4 ms	2820 KB	Output is correct
11	Correct	5 ms	2900 KB	Output is correct
12	Correct	5 ms	2900 KB	Output is correct
13	Correct	5 ms	2828 KB	Output is correct
14	Correct	5 ms	2900 KB	Output is correct
15	Correct	4 ms	2644 KB	Output is correct
16	Correct	5 ms	2936 KB	Output is correct
17	Correct	5 ms	2900 KB	Output is correct
18	Correct	4 ms	2824 KB	Output is correct
19	Correct	4 ms	2824 KB	Output is correct
20	Correct	5 ms	2900 KB	Output is correct
21	Correct	4 ms	2900 KB	Output is correct
22	Correct	5 ms	2816 KB	Output is correct

Subtask #6
13.0 / 13.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	2644 KB	Output is correct
2	Correct	3 ms	2644 KB	Output is correct
3	Correct	4 ms	2644 KB	Output is correct
4	Correct	3 ms	2644 KB	Output is correct
5	Correct	3 ms	2644 KB	Output is correct
6	Correct	4 ms	2644 KB	Output is correct
7	Correct	3 ms	2644 KB	Output is correct
8	Correct	4 ms	2644 KB	Output is correct
9	Correct	4 ms	2644 KB	Output is correct
10	Correct	3 ms	2644 KB	Output is correct
11	Correct	4 ms	2684 KB	Output is correct
12	Correct	4 ms	2644 KB	Output is correct
13	Correct	4 ms	2644 KB	Output is correct
14	Correct	4 ms	2644 KB	Output is correct
15	Correct	4 ms	2644 KB	Output is correct
16	Correct	3 ms	2644 KB	Output is correct
17	Correct	4 ms	2644 KB	Output is correct
18	Correct	5 ms	2680 KB	Output is correct
19	Correct	5 ms	2644 KB	Output is correct
20	Correct	4 ms	2644 KB	Output is correct
21	Correct	4 ms	2644 KB	Output is correct
22	Correct	3 ms	2644 KB	Output is correct
23	Correct	4 ms	2644 KB	Output is correct
24	Correct	4 ms	2644 KB	Output is correct
25	Correct	4 ms	2644 KB	Output is correct
26	Correct	5 ms	2820 KB	Output is correct
27	Correct	5 ms	2900 KB	Output is correct
28	Correct	5 ms	2900 KB	Output is correct
29	Correct	5 ms	2808 KB	Output is correct
30	Correct	5 ms	2900 KB	Output is correct
31	Correct	4 ms	2900 KB	Output is correct
32	Correct	5 ms	2900 KB	Output is correct
33	Correct	4 ms	2900 KB	Output is correct
34	Correct	4 ms	2820 KB	Output is correct
35	Correct	5 ms	2900 KB	Output is correct
36	Correct	5 ms	2900 KB	Output is correct
37	Correct	5 ms	2828 KB	Output is correct
38	Correct	5 ms	2900 KB	Output is correct
39	Correct	4 ms	2644 KB	Output is correct
40	Correct	5 ms	2936 KB	Output is correct
41	Correct	5 ms	2900 KB	Output is correct
42	Correct	4 ms	2824 KB	Output is correct
43	Correct	4 ms	2824 KB	Output is correct
44	Correct	5 ms	2900 KB	Output is correct
45	Correct	4 ms	2900 KB	Output is correct
46	Correct	5 ms	2816 KB	Output is correct
47	Correct	3 ms	2644 KB	Output is correct
48	Correct	5 ms	2824 KB	Output is correct
49	Correct	5 ms	2900 KB	Output is correct
50	Correct	5 ms	2824 KB	Output is correct
51	Correct	6 ms	2988 KB	Output is correct
52	Correct	6 ms	2920 KB	Output is correct
53	Correct	5 ms	2900 KB	Output is correct
54	Correct	5 ms	2900 KB	Output is correct
55	Correct	4 ms	2820 KB	Output is correct
56	Correct	5 ms	2912 KB	Output is correct
57	Correct	6 ms	2900 KB	Output is correct
58	Correct	5 ms	2944 KB	Output is correct
59	Correct	5 ms	2868 KB	Output is correct
60	Correct	5 ms	2952 KB	Output is correct
61	Correct	4 ms	2644 KB	Output is correct
62	Correct	5 ms	2828 KB	Output is correct
63	Correct	5 ms	2872 KB	Output is correct
64	Correct	5 ms	2828 KB	Output is correct
65	Correct	4 ms	2824 KB	Output is correct
66	Correct	5 ms	2900 KB	Output is correct
67	Correct	5 ms	2900 KB	Output is correct
68	Correct	4 ms	2900 KB	Output is correct

Subtask #7
19.0 / 19.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	2644 KB	Output is correct
2	Correct	294 ms	28056 KB	Output is correct
3	Correct	326 ms	28244 KB	Output is correct
4	Correct	260 ms	28120 KB	Output is correct
5	Correct	238 ms	28092 KB	Output is correct
6	Correct	316 ms	28044 KB	Output is correct
7	Correct	290 ms	28064 KB	Output is correct
8	Correct	231 ms	28184 KB	Output is correct
9	Correct	256 ms	28064 KB	Output is correct
10	Correct	315 ms	28084 KB	Output is correct
11	Correct	281 ms	28128 KB	Output is correct
12	Correct	283 ms	27984 KB	Output is correct
13	Correct	237 ms	28016 KB	Output is correct
14	Correct	293 ms	28064 KB	Output is correct
15	Correct	379 ms	28016 KB	Output is correct
16	Correct	315 ms	28048 KB	Output is correct
17	Correct	284 ms	28080 KB	Output is correct
18	Correct	297 ms	28012 KB	Output is correct
19	Correct	293 ms	28092 KB	Output is correct
20	Correct	291 ms	28056 KB	Output is correct
21	Correct	322 ms	28040 KB	Output is correct
22	Correct	4 ms	2644 KB	Output is correct
23	Correct	5 ms	2820 KB	Output is correct
24	Correct	5 ms	2900 KB	Output is correct
25	Correct	5 ms	2900 KB	Output is correct
26	Correct	5 ms	2808 KB	Output is correct
27	Correct	5 ms	2900 KB	Output is correct
28	Correct	4 ms	2900 KB	Output is correct
29	Correct	5 ms	2900 KB	Output is correct
30	Correct	4 ms	2900 KB	Output is correct
31	Correct	4 ms	2820 KB	Output is correct
32	Correct	5 ms	2900 KB	Output is correct
33	Correct	5 ms	2900 KB	Output is correct
34	Correct	5 ms	2828 KB	Output is correct
35	Correct	5 ms	2900 KB	Output is correct
36	Correct	4 ms	2644 KB	Output is correct
37	Correct	5 ms	2936 KB	Output is correct
38	Correct	5 ms	2900 KB	Output is correct
39	Correct	4 ms	2824 KB	Output is correct
40	Correct	4 ms	2824 KB	Output is correct
41	Correct	5 ms	2900 KB	Output is correct
42	Correct	4 ms	2900 KB	Output is correct
43	Correct	5 ms	2816 KB	Output is correct
44	Correct	4 ms	2644 KB	Output is correct
45	Correct	267 ms	28056 KB	Output is correct
46	Correct	247 ms	28044 KB	Output is correct
47	Correct	251 ms	28128 KB	Output is correct
48	Correct	243 ms	28084 KB	Output is correct
49	Correct	262 ms	28088 KB	Output is correct
50	Correct	293 ms	28056 KB	Output is correct
51	Correct	248 ms	28076 KB	Output is correct
52	Correct	260 ms	28084 KB	Output is correct
53	Correct	246 ms	28072 KB	Output is correct
54	Correct	242 ms	27976 KB	Output is correct
55	Correct	248 ms	28048 KB	Output is correct
56	Correct	247 ms	28096 KB	Output is correct
57	Correct	250 ms	27980 KB	Output is correct
58	Correct	3 ms	2644 KB	Output is correct
59	Correct	299 ms	28076 KB	Output is correct
60	Correct	247 ms	28000 KB	Output is correct
61	Correct	242 ms	28092 KB	Output is correct
62	Correct	246 ms	27980 KB	Output is correct
63	Correct	248 ms	28008 KB	Output is correct
64	Correct	252 ms	28044 KB	Output is correct
65	Correct	242 ms	27980 KB	Output is correct

Subtask #8
12.0 / 12.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	4 ms	2644 KB	Output is correct
2	Correct	3 ms	2644 KB	Output is correct
3	Correct	4 ms	2644 KB	Output is correct
4	Correct	3 ms	2644 KB	Output is correct
5	Correct	3 ms	2644 KB	Output is correct
6	Correct	4 ms	2644 KB	Output is correct
7	Correct	3 ms	2644 KB	Output is correct
8	Correct	4 ms	2644 KB	Output is correct
9	Correct	4 ms	2644 KB	Output is correct
10	Correct	3 ms	2644 KB	Output is correct
11	Correct	4 ms	2684 KB	Output is correct
12	Correct	4 ms	2644 KB	Output is correct
13	Correct	4 ms	2644 KB	Output is correct
14	Correct	4 ms	2644 KB	Output is correct
15	Correct	4 ms	2644 KB	Output is correct
16	Correct	3 ms	2644 KB	Output is correct
17	Correct	4 ms	2644 KB	Output is correct
18	Correct	5 ms	2680 KB	Output is correct
19	Correct	5 ms	2644 KB	Output is correct
20	Correct	4 ms	2644 KB	Output is correct
21	Correct	4 ms	2644 KB	Output is correct
22	Correct	3 ms	2644 KB	Output is correct
23	Correct	4 ms	2644 KB	Output is correct
24	Correct	4 ms	2644 KB	Output is correct
25	Correct	3 ms	2644 KB	Output is correct
26	Correct	286 ms	29052 KB	Output is correct
27	Correct	280 ms	29012 KB	Output is correct
28	Correct	317 ms	29040 KB	Output is correct
29	Correct	283 ms	29056 KB	Output is correct
30	Correct	254 ms	28936 KB	Output is correct
31	Correct	249 ms	28988 KB	Output is correct
32	Correct	239 ms	29072 KB	Output is correct
33	Correct	249 ms	28964 KB	Output is correct
34	Correct	241 ms	28948 KB	Output is correct
35	Correct	271 ms	29064 KB	Output is correct
36	Correct	345 ms	28972 KB	Output is correct
37	Correct	338 ms	28936 KB	Output is correct
38	Correct	481 ms	28940 KB	Output is correct
39	Correct	301 ms	28980 KB	Output is correct
40	Correct	312 ms	28928 KB	Output is correct
41	Correct	289 ms	29132 KB	Output is correct
42	Correct	327 ms	29120 KB	Output is correct
43	Correct	328 ms	29032 KB	Output is correct
44	Correct	400 ms	28960 KB	Output is correct
45	Correct	357 ms	28972 KB	Output is correct
46	Correct	4 ms	2644 KB	Output is correct
47	Correct	294 ms	28056 KB	Output is correct
48	Correct	326 ms	28244 KB	Output is correct
49	Correct	260 ms	28120 KB	Output is correct
50	Correct	238 ms	28092 KB	Output is correct
51	Correct	316 ms	28044 KB	Output is correct
52	Correct	290 ms	28064 KB	Output is correct
53	Correct	231 ms	28184 KB	Output is correct
54	Correct	256 ms	28064 KB	Output is correct
55	Correct	315 ms	28084 KB	Output is correct
56	Correct	281 ms	28128 KB	Output is correct
57	Correct	283 ms	27984 KB	Output is correct
58	Correct	237 ms	28016 KB	Output is correct
59	Correct	293 ms	28064 KB	Output is correct
60	Correct	379 ms	28016 KB	Output is correct
61	Correct	315 ms	28048 KB	Output is correct
62	Correct	284 ms	28080 KB	Output is correct
63	Correct	297 ms	28012 KB	Output is correct
64	Correct	293 ms	28092 KB	Output is correct
65	Correct	291 ms	28056 KB	Output is correct
66	Correct	322 ms	28040 KB	Output is correct
67	Correct	4 ms	2644 KB	Output is correct
68	Correct	5 ms	2820 KB	Output is correct
69	Correct	5 ms	2900 KB	Output is correct
70	Correct	5 ms	2900 KB	Output is correct
71	Correct	5 ms	2808 KB	Output is correct
72	Correct	5 ms	2900 KB	Output is correct
73	Correct	4 ms	2900 KB	Output is correct
74	Correct	5 ms	2900 KB	Output is correct
75	Correct	4 ms	2900 KB	Output is correct
76	Correct	4 ms	2820 KB	Output is correct
77	Correct	5 ms	2900 KB	Output is correct
78	Correct	5 ms	2900 KB	Output is correct
79	Correct	5 ms	2828 KB	Output is correct
80	Correct	5 ms	2900 KB	Output is correct
81	Correct	4 ms	2644 KB	Output is correct
82	Correct	5 ms	2936 KB	Output is correct
83	Correct	5 ms	2900 KB	Output is correct
84	Correct	4 ms	2824 KB	Output is correct
85	Correct	4 ms	2824 KB	Output is correct
86	Correct	5 ms	2900 KB	Output is correct
87	Correct	4 ms	2900 KB	Output is correct
88	Correct	5 ms	2816 KB	Output is correct
89	Correct	3 ms	2644 KB	Output is correct
90	Correct	5 ms	2824 KB	Output is correct
91	Correct	5 ms	2900 KB	Output is correct
92	Correct	5 ms	2824 KB	Output is correct
93	Correct	6 ms	2988 KB	Output is correct
94	Correct	6 ms	2920 KB	Output is correct
95	Correct	5 ms	2900 KB	Output is correct
96	Correct	5 ms	2900 KB	Output is correct
97	Correct	4 ms	2820 KB	Output is correct
98	Correct	5 ms	2912 KB	Output is correct
99	Correct	6 ms	2900 KB	Output is correct
100	Correct	5 ms	2944 KB	Output is correct
101	Correct	5 ms	2868 KB	Output is correct
102	Correct	5 ms	2952 KB	Output is correct
103	Correct	4 ms	2644 KB	Output is correct
104	Correct	5 ms	2828 KB	Output is correct
105	Correct	5 ms	2872 KB	Output is correct
106	Correct	5 ms	2828 KB	Output is correct
107	Correct	4 ms	2824 KB	Output is correct
108	Correct	5 ms	2900 KB	Output is correct
109	Correct	5 ms	2900 KB	Output is correct
110	Correct	4 ms	2900 KB	Output is correct
111	Correct	4 ms	2644 KB	Output is correct
112	Correct	267 ms	28056 KB	Output is correct
113	Correct	247 ms	28044 KB	Output is correct
114	Correct	251 ms	28128 KB	Output is correct
115	Correct	243 ms	28084 KB	Output is correct
116	Correct	262 ms	28088 KB	Output is correct
117	Correct	293 ms	28056 KB	Output is correct
118	Correct	248 ms	28076 KB	Output is correct
119	Correct	260 ms	28084 KB	Output is correct
120	Correct	246 ms	28072 KB	Output is correct
121	Correct	242 ms	27976 KB	Output is correct
122	Correct	248 ms	28048 KB	Output is correct
123	Correct	247 ms	28096 KB	Output is correct
124	Correct	250 ms	27980 KB	Output is correct
125	Correct	3 ms	2644 KB	Output is correct
126	Correct	299 ms	28076 KB	Output is correct
127	Correct	247 ms	28000 KB	Output is correct
128	Correct	242 ms	28092 KB	Output is correct
129	Correct	246 ms	27980 KB	Output is correct
130	Correct	248 ms	28008 KB	Output is correct
131	Correct	252 ms	28044 KB	Output is correct
132	Correct	242 ms	27980 KB	Output is correct
133	Correct	3 ms	2644 KB	Output is correct
134	Correct	257 ms	29048 KB	Output is correct
135	Correct	252 ms	28932 KB	Output is correct
136	Correct	290 ms	28936 KB	Output is correct
137	Correct	252 ms	29040 KB	Output is correct
138	Correct	272 ms	29092 KB	Output is correct
139	Correct	250 ms	28988 KB	Output is correct
140	Correct	237 ms	28928 KB	Output is correct
141	Correct	236 ms	29020 KB	Output is correct
142	Correct	248 ms	29100 KB	Output is correct
143	Correct	282 ms	28984 KB	Output is correct
144	Correct	253 ms	28940 KB	Output is correct
145	Correct	247 ms	29092 KB	Output is correct
146	Correct	258 ms	29064 KB	Output is correct
147	Correct	3 ms	2576 KB	Output is correct
148	Correct	252 ms	29016 KB	Output is correct
149	Correct	253 ms	29008 KB	Output is correct
150	Correct	251 ms	29068 KB	Output is correct
151	Correct	254 ms	28968 KB	Output is correct
152	Correct	305 ms	29056 KB	Output is correct
153	Correct	267 ms	28952 KB	Output is correct
154	Correct	251 ms	28940 KB	Output is correct

Submission #539389

Compilation message