Submission #544500

# Submission time Handle Problem Language Result Execution time Memory
544500 2022-04-02T07:03:03 Z model_code Copy and Paste 3 (JOI22_copypaste3) C++17
100 / 100
798 ms 73728 KB
#include <bits/stdc++.h>

int ri() {
	int n;
	scanf("%d", &n);
	return n;
}

int main() {
	int n = ri();
	(void) n;
	std::string s;
	std::cin >> s;
	int64_t a = ri();
	int64_t b = ri();
	int64_t c = ri();
	
	/*
		next[l][r] : 
			smallest k such that k >= r && s.substr(l, r - l) == s.substr(k, r - l)
			n if no such k exists
	*/
	int next[n][n + 1];
	auto z = [] (char *s) { // z algorithm : returns the Z array of the string starting at `s`
		int n = strlen(s);
		std::vector<int> res(n);
		int head = 0;
		int start = 0;
		for (int i = 1; i < n; i++) {
			if (res[i - start] >= head - i) {
				head = std::max(head, i);
				while (head < n && s[head] == s[head - i]) head++;
				res[i] = head - i;
				start = i;
			} else res[i] = std::min(n - i, res[i - start]);
		}
		return res;
	};
	for (int i = 0; i < n; i++) {
		auto tmp = z(&s[i]);
		int max_len = 0;
		for (int j = i + 1; j < n; j++) {
			int cur_max_len = std::min(j - i, tmp[j - i]);
			while (max_len < cur_max_len) next[i][i + ++max_len] = j;
		}
		while (max_len < n - i) next[i][i + ++max_len] = n;
	}
	
	int64_t dp[n][n + 1]; // dp[l][r] : the lowest cost to make x == "" && y == s.substr(l, r - l)
	for (auto &i : dp) for (auto &j : i) j = 1000000000000000000;
	
	for (int i = 0; i < n; i++) dp[i][i + 1] = a + b;
	for (int len = 1; len < n; len++) {
		for (int l = 0; l + len <= n; l++) {
			int r = l + len;
			if (l) dp[l - 1][r] = std::min(dp[l - 1][r], dp[l][r] + a);
			if (r + 1 <= n) dp[l][r + 1] = std::min(dp[l][r + 1], dp[l][r] + a);
			
			int cur = l;
			int cnt = 1; // number of pasting
			while (next[cur][cur + len] < n) {
				cur = next[cur][cur + len];
				++cnt;
				dp[l][cur + len] = std::min(dp[l][cur + len], dp[l][r] + c * cnt + a * (cur + len - l - len * cnt) + b);
			}
		}
	}
	// dp[0][n] is the cost to make x == "" && y == s (immediately after cutting).
	// To make x == s, the last cutting is unnecessary
	printf("%" PRId64 "\n", dp[0][n] - b);
	return 0;
}

Compilation message

copypaste3.cpp: In function 'int ri()':
copypaste3.cpp:5:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
    5 |  scanf("%d", &n);
      |  ~~~~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 294 ms 39560 KB Output is correct
4 Correct 350 ms 46216 KB Output is correct
5 Correct 481 ms 54004 KB Output is correct
6 Correct 621 ms 63044 KB Output is correct
7 Correct 798 ms 73720 KB Output is correct
8 Correct 672 ms 73728 KB Output is correct
9 Correct 736 ms 73720 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 2 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 2 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 2 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 2 ms 724 KB Output is correct
42 Correct 1 ms 724 KB Output is correct
43 Correct 2 ms 724 KB Output is correct
44 Correct 1 ms 724 KB Output is correct
45 Correct 2 ms 724 KB Output is correct
46 Correct 4 ms 724 KB Output is correct
47 Correct 2 ms 724 KB Output is correct
48 Correct 1 ms 724 KB Output is correct
49 Correct 1 ms 724 KB Output is correct
50 Correct 1 ms 724 KB Output is correct
51 Correct 2 ms 724 KB Output is correct
52 Correct 4 ms 792 KB Output is correct
53 Correct 1 ms 724 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 0 ms 212 KB Output is correct
13 Correct 1 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 1 ms 212 KB Output is correct
17 Correct 1 ms 212 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 0 ms 212 KB Output is correct
26 Correct 0 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 2 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 340 KB Output is correct
41 Correct 2 ms 724 KB Output is correct
42 Correct 1 ms 724 KB Output is correct
43 Correct 2 ms 724 KB Output is correct
44 Correct 1 ms 724 KB Output is correct
45 Correct 2 ms 724 KB Output is correct
46 Correct 4 ms 724 KB Output is correct
47 Correct 2 ms 724 KB Output is correct
48 Correct 1 ms 724 KB Output is correct
49 Correct 1 ms 724 KB Output is correct
50 Correct 1 ms 724 KB Output is correct
51 Correct 2 ms 724 KB Output is correct
52 Correct 4 ms 792 KB Output is correct
53 Correct 1 ms 724 KB Output is correct
54 Correct 5 ms 2644 KB Output is correct
55 Correct 56 ms 12044 KB Output is correct
56 Correct 29 ms 12080 KB Output is correct
57 Correct 26 ms 12060 KB Output is correct
58 Correct 21 ms 12084 KB Output is correct
59 Correct 20 ms 12072 KB Output is correct
60 Correct 25 ms 12044 KB Output is correct
61 Correct 25 ms 11988 KB Output is correct
62 Correct 57 ms 12064 KB Output is correct
63 Correct 25 ms 11988 KB Output is correct
64 Correct 26 ms 11984 KB Output is correct
65 Correct 41 ms 12064 KB Output is correct
66 Correct 36 ms 12056 KB Output is correct
67 Correct 17 ms 12084 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 1 ms 212 KB Output is correct
13 Correct 294 ms 39560 KB Output is correct
14 Correct 350 ms 46216 KB Output is correct
15 Correct 481 ms 54004 KB Output is correct
16 Correct 621 ms 63044 KB Output is correct
17 Correct 798 ms 73720 KB Output is correct
18 Correct 672 ms 73728 KB Output is correct
19 Correct 736 ms 73720 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 1 ms 212 KB Output is correct
22 Correct 1 ms 212 KB Output is correct
23 Correct 1 ms 212 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 2 ms 212 KB Output is correct
26 Correct 1 ms 212 KB Output is correct
27 Correct 1 ms 212 KB Output is correct
28 Correct 1 ms 212 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 1 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 1 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 0 ms 212 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 1 ms 212 KB Output is correct
45 Correct 1 ms 212 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 0 ms 212 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 1 ms 212 KB Output is correct
50 Correct 2 ms 212 KB Output is correct
51 Correct 1 ms 212 KB Output is correct
52 Correct 1 ms 212 KB Output is correct
53 Correct 1 ms 212 KB Output is correct
54 Correct 1 ms 212 KB Output is correct
55 Correct 1 ms 212 KB Output is correct
56 Correct 1 ms 212 KB Output is correct
57 Correct 1 ms 340 KB Output is correct
58 Correct 2 ms 724 KB Output is correct
59 Correct 1 ms 724 KB Output is correct
60 Correct 2 ms 724 KB Output is correct
61 Correct 1 ms 724 KB Output is correct
62 Correct 2 ms 724 KB Output is correct
63 Correct 4 ms 724 KB Output is correct
64 Correct 2 ms 724 KB Output is correct
65 Correct 1 ms 724 KB Output is correct
66 Correct 1 ms 724 KB Output is correct
67 Correct 1 ms 724 KB Output is correct
68 Correct 2 ms 724 KB Output is correct
69 Correct 4 ms 792 KB Output is correct
70 Correct 1 ms 724 KB Output is correct
71 Correct 5 ms 2644 KB Output is correct
72 Correct 56 ms 12044 KB Output is correct
73 Correct 29 ms 12080 KB Output is correct
74 Correct 26 ms 12060 KB Output is correct
75 Correct 21 ms 12084 KB Output is correct
76 Correct 20 ms 12072 KB Output is correct
77 Correct 25 ms 12044 KB Output is correct
78 Correct 25 ms 11988 KB Output is correct
79 Correct 57 ms 12064 KB Output is correct
80 Correct 25 ms 11988 KB Output is correct
81 Correct 26 ms 11984 KB Output is correct
82 Correct 41 ms 12064 KB Output is correct
83 Correct 36 ms 12056 KB Output is correct
84 Correct 17 ms 12084 KB Output is correct
85 Correct 74 ms 29664 KB Output is correct
86 Correct 211 ms 73724 KB Output is correct
87 Correct 205 ms 73720 KB Output is correct
88 Correct 167 ms 73724 KB Output is correct
89 Correct 137 ms 73656 KB Output is correct
90 Correct 137 ms 73668 KB Output is correct
91 Correct 355 ms 73720 KB Output is correct
92 Correct 522 ms 73724 KB Output is correct
93 Correct 182 ms 73728 KB Output is correct
94 Correct 190 ms 73720 KB Output is correct
95 Correct 389 ms 73720 KB Output is correct
96 Correct 448 ms 73720 KB Output is correct
97 Correct 121 ms 73720 KB Output is correct