Submission #564988

# Submission time Handle Problem Language Result Execution time Memory
564988 2022-05-20T06:49:08 Z Zanite Copy and Paste 3 (JOI22_copypaste3) C++17
62 / 100
681 ms 99532 KB
#include <bits/stdc++.h>
using namespace std;

using ll	= long long;
using pll	= pair<ll, ll>;

#define fi	first
#define se	second

const ll mod	= 1707726299;
const ll maxN	= 2515;
const ll maxNr	= 2510;
const ll INF	= 1e18;

void maddto(ll &x, ll y) {x += y; x %= mod;}
ll msub(ll x, ll y) {x -= y; while (x < 0) x += mod; x %= mod; return x;}
ll mmul(ll x, ll y) {x *= y; x %= mod; return x;}

void chmin(ll &x, ll y) {x = min(x, y);}

ll modexp(ll x, ll y) {
	if (!x) return 0; if (!y) return 1;
	ll t = modexp(x, y >> 1);
	return mmul(t, mmul(t, (y & 1) ? x : 1));
}

ll A, B, C, N;
char S[maxN];

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
uniform_int_distribution<ll> uid(1e5, 2e5);
ll key = uid(rng), invkey = modexp(key, mod-2);
ll kpow[maxN], invkpow[maxN], hsh[maxN];

ll dp[maxN][maxN], nxt[maxN][maxN];

void precomp() {
	key = rng();
	invkey = modexp(key, mod-2);
	kpow[0] = invkpow[0] = 1;
	for (ll i = 1; i <= maxNr; i++) {
		kpow[i] = mmul(kpow[i-1], key);
		invkpow[i] = mmul(invkpow[i-1], invkey);
	}
}

void hashS() {
	for (ll i = 1; i <= N; i++) {
		hsh[i] = mmul(S[i], kpow[i]);
		maddto(hsh[i], hsh[i-1]);
	}
}

ll getHash(ll l, ll r) {
	ll ret = msub(hsh[r], hsh[l-1]);
	return mmul(ret, invkpow[l-1]);
}

int main() {
	precomp();

	scanf("%lld", &N);
	S[0] = '#';
	scanf("%s", S + 1);
	//N = strlen(S) - 1;
	scanf("%lld %lld %lld", &A, &B, &C);

	hashS();

	// compute nxt[l][r] for each possible substring length
	memset(nxt, -1, sizeof(nxt));
	for (ll len = 1; len < N; len++) {
		vector<pll> hashes = {{-1, -1}};
		for (ll st = 1; st <= N-len+1; st++) {
			hashes.push_back({getHash(st, st+len-1), st});
		}
		sort(hashes.begin(), hashes.end());
		/*
		for (auto H : hashes) {
			printf("{%lld, %lld} ", H.fi, H.se);
		}
		cout << '\n';
		*/

		deque<ll> pending;
		for (ll i = 1; i < hashes.size(); i++) {
			if (hashes[i].fi != hashes[i-1].fi) {
				pending.clear();
			}
			while (!pending.empty()) {
				if (pending.front() <= hashes[i].se - len) {
					nxt[pending.front()][pending.front()+len-1] = hashes[i].se;
					pending.pop_front();
				} else break;
			}
			pending.push_back(hashes[i].se);
		}
	}

	/*
	for (ll l = 1; l <= N; l++) {
		for (ll r = l; r <= N; r++) {
			printf("nxt[%lld][%lld] = %lld\n", l, r, nxt[l][r]);
		}
	}
	*/

	// Calculate DP
	for (auto &i : dp) {
		for (auto &j : i) {
			j = INF;
		}
	}
	// Base case
	for (ll i = 1; i <= N; i++) {
		dp[i][i] = A + B;
	}
	// Transition
	for (ll len = 1; len < N; len++) {
		for (ll l = 1; l <= N-len+1; l++) {
			ll r = l+len-1;

			// Type S[l-1]
			if (l > 1) {
				chmin(dp[l-1][r], dp[l][r] + A);
			}

			// Type S[r+1]
			if (r < N) {
				chmin(dp[l][r+1], dp[l][r] + A);
			}

			// Paste next occurences of S[l..r]
			ll cur = l, pastes = 1;
			while (nxt[cur][cur+len-1] != -1) {
				cur = nxt[cur][cur+len-1];
				pastes++;
				chmin(
					dp[l][cur+len-1],
					dp[l][r] + 1ll * pastes * C + 1ll * (cur+len-l - 1ll * len * pastes) * A + B
				);
			}
		}
	}

	printf("%lld\n", dp[1][N] - B);
}

Compilation message

copypaste3.cpp: In function 'll modexp(ll, ll)':
copypaste3.cpp:22:2: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
   22 |  if (!x) return 0; if (!y) return 1;
      |  ^~
copypaste3.cpp:22:20: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
   22 |  if (!x) return 0; if (!y) return 1;
      |                    ^~
copypaste3.cpp: In function 'int main()':
copypaste3.cpp:86:20: warning: comparison of integer expressions of different signedness: 'll' {aka 'long long int'} and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   86 |   for (ll i = 1; i < hashes.size(); i++) {
      |                  ~~^~~~~~~~~~~~~~~
copypaste3.cpp:62:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   62 |  scanf("%lld", &N);
      |  ~~~~~^~~~~~~~~~~~
copypaste3.cpp:64:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   64 |  scanf("%s", S + 1);
      |  ~~~~~^~~~~~~~~~~~~
copypaste3.cpp:66:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
   66 |  scanf("%lld %lld %lld", &A, &B, &C);
      |  ~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 43 ms 99364 KB Output is correct
2 Correct 38 ms 99340 KB Output is correct
3 Correct 38 ms 99316 KB Output is correct
4 Correct 38 ms 99288 KB Output is correct
5 Correct 46 ms 99320 KB Output is correct
6 Correct 41 ms 99324 KB Output is correct
7 Correct 39 ms 99268 KB Output is correct
8 Correct 43 ms 99300 KB Output is correct
9 Correct 39 ms 99244 KB Output is correct
10 Correct 38 ms 99288 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 37 ms 99340 KB Output is correct
2 Correct 40 ms 99360 KB Output is correct
3 Correct 337 ms 99452 KB Output is correct
4 Correct 376 ms 99500 KB Output is correct
5 Correct 449 ms 99480 KB Output is correct
6 Correct 543 ms 99404 KB Output is correct
7 Correct 681 ms 99512 KB Output is correct
8 Correct 678 ms 99480 KB Output is correct
9 Correct 655 ms 99532 KB Output is correct
10 Correct 43 ms 99340 KB Output is correct
11 Correct 38 ms 99240 KB Output is correct
12 Correct 38 ms 99376 KB Output is correct
13 Correct 41 ms 99276 KB Output is correct
14 Correct 38 ms 99348 KB Output is correct
15 Correct 39 ms 99276 KB Output is correct
16 Correct 38 ms 99276 KB Output is correct
17 Correct 39 ms 99344 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 43 ms 99364 KB Output is correct
2 Correct 38 ms 99340 KB Output is correct
3 Correct 38 ms 99316 KB Output is correct
4 Correct 38 ms 99288 KB Output is correct
5 Correct 46 ms 99320 KB Output is correct
6 Correct 41 ms 99324 KB Output is correct
7 Correct 39 ms 99268 KB Output is correct
8 Correct 43 ms 99300 KB Output is correct
9 Correct 39 ms 99244 KB Output is correct
10 Correct 38 ms 99288 KB Output is correct
11 Correct 40 ms 99320 KB Output is correct
12 Correct 38 ms 99276 KB Output is correct
13 Correct 40 ms 99276 KB Output is correct
14 Correct 39 ms 99280 KB Output is correct
15 Correct 40 ms 99356 KB Output is correct
16 Correct 39 ms 99324 KB Output is correct
17 Correct 40 ms 99240 KB Output is correct
18 Correct 39 ms 99256 KB Output is correct
19 Correct 38 ms 99320 KB Output is correct
20 Correct 40 ms 99276 KB Output is correct
21 Correct 43 ms 99300 KB Output is correct
22 Correct 40 ms 99320 KB Output is correct
23 Correct 39 ms 99344 KB Output is correct
24 Correct 42 ms 99276 KB Output is correct
25 Correct 39 ms 99320 KB Output is correct
26 Correct 39 ms 99340 KB Output is correct
27 Correct 40 ms 99320 KB Output is correct
28 Correct 39 ms 99328 KB Output is correct
29 Correct 39 ms 99292 KB Output is correct
30 Correct 39 ms 99296 KB Output is correct
31 Correct 40 ms 99340 KB Output is correct
32 Correct 38 ms 99352 KB Output is correct
33 Correct 38 ms 99276 KB Output is correct
34 Correct 38 ms 99268 KB Output is correct
35 Correct 37 ms 99340 KB Output is correct
36 Correct 38 ms 99336 KB Output is correct
37 Correct 44 ms 99304 KB Output is correct
38 Correct 38 ms 99264 KB Output is correct
39 Correct 39 ms 99248 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 43 ms 99364 KB Output is correct
2 Correct 38 ms 99340 KB Output is correct
3 Correct 38 ms 99316 KB Output is correct
4 Correct 38 ms 99288 KB Output is correct
5 Correct 46 ms 99320 KB Output is correct
6 Correct 41 ms 99324 KB Output is correct
7 Correct 39 ms 99268 KB Output is correct
8 Correct 43 ms 99300 KB Output is correct
9 Correct 39 ms 99244 KB Output is correct
10 Correct 38 ms 99288 KB Output is correct
11 Correct 40 ms 99320 KB Output is correct
12 Correct 38 ms 99276 KB Output is correct
13 Correct 40 ms 99276 KB Output is correct
14 Correct 39 ms 99280 KB Output is correct
15 Correct 40 ms 99356 KB Output is correct
16 Correct 39 ms 99324 KB Output is correct
17 Correct 40 ms 99240 KB Output is correct
18 Correct 39 ms 99256 KB Output is correct
19 Correct 38 ms 99320 KB Output is correct
20 Correct 40 ms 99276 KB Output is correct
21 Correct 43 ms 99300 KB Output is correct
22 Correct 40 ms 99320 KB Output is correct
23 Correct 39 ms 99344 KB Output is correct
24 Correct 42 ms 99276 KB Output is correct
25 Correct 39 ms 99320 KB Output is correct
26 Correct 39 ms 99340 KB Output is correct
27 Correct 40 ms 99320 KB Output is correct
28 Correct 39 ms 99328 KB Output is correct
29 Correct 39 ms 99292 KB Output is correct
30 Correct 39 ms 99296 KB Output is correct
31 Correct 40 ms 99340 KB Output is correct
32 Correct 38 ms 99352 KB Output is correct
33 Correct 38 ms 99276 KB Output is correct
34 Correct 38 ms 99268 KB Output is correct
35 Correct 37 ms 99340 KB Output is correct
36 Correct 38 ms 99336 KB Output is correct
37 Correct 44 ms 99304 KB Output is correct
38 Correct 38 ms 99264 KB Output is correct
39 Correct 39 ms 99248 KB Output is correct
40 Correct 38 ms 99260 KB Output is correct
41 Correct 41 ms 99268 KB Output is correct
42 Correct 43 ms 99320 KB Output is correct
43 Correct 39 ms 99260 KB Output is correct
44 Correct 39 ms 99252 KB Output is correct
45 Correct 41 ms 99356 KB Output is correct
46 Correct 41 ms 99292 KB Output is correct
47 Correct 40 ms 99276 KB Output is correct
48 Correct 40 ms 99276 KB Output is correct
49 Correct 40 ms 99288 KB Output is correct
50 Correct 42 ms 99312 KB Output is correct
51 Correct 40 ms 99276 KB Output is correct
52 Correct 40 ms 99312 KB Output is correct
53 Correct 40 ms 99284 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 43 ms 99364 KB Output is correct
2 Correct 38 ms 99340 KB Output is correct
3 Correct 38 ms 99316 KB Output is correct
4 Correct 38 ms 99288 KB Output is correct
5 Correct 46 ms 99320 KB Output is correct
6 Correct 41 ms 99324 KB Output is correct
7 Correct 39 ms 99268 KB Output is correct
8 Correct 43 ms 99300 KB Output is correct
9 Correct 39 ms 99244 KB Output is correct
10 Correct 38 ms 99288 KB Output is correct
11 Correct 40 ms 99320 KB Output is correct
12 Correct 38 ms 99276 KB Output is correct
13 Correct 40 ms 99276 KB Output is correct
14 Correct 39 ms 99280 KB Output is correct
15 Correct 40 ms 99356 KB Output is correct
16 Correct 39 ms 99324 KB Output is correct
17 Correct 40 ms 99240 KB Output is correct
18 Correct 39 ms 99256 KB Output is correct
19 Correct 38 ms 99320 KB Output is correct
20 Correct 40 ms 99276 KB Output is correct
21 Correct 43 ms 99300 KB Output is correct
22 Correct 40 ms 99320 KB Output is correct
23 Correct 39 ms 99344 KB Output is correct
24 Correct 42 ms 99276 KB Output is correct
25 Correct 39 ms 99320 KB Output is correct
26 Correct 39 ms 99340 KB Output is correct
27 Correct 40 ms 99320 KB Output is correct
28 Correct 39 ms 99328 KB Output is correct
29 Correct 39 ms 99292 KB Output is correct
30 Correct 39 ms 99296 KB Output is correct
31 Correct 40 ms 99340 KB Output is correct
32 Correct 38 ms 99352 KB Output is correct
33 Correct 38 ms 99276 KB Output is correct
34 Correct 38 ms 99268 KB Output is correct
35 Correct 37 ms 99340 KB Output is correct
36 Correct 38 ms 99336 KB Output is correct
37 Correct 44 ms 99304 KB Output is correct
38 Correct 38 ms 99264 KB Output is correct
39 Correct 39 ms 99248 KB Output is correct
40 Correct 38 ms 99260 KB Output is correct
41 Correct 41 ms 99268 KB Output is correct
42 Correct 43 ms 99320 KB Output is correct
43 Correct 39 ms 99260 KB Output is correct
44 Correct 39 ms 99252 KB Output is correct
45 Correct 41 ms 99356 KB Output is correct
46 Correct 41 ms 99292 KB Output is correct
47 Correct 40 ms 99276 KB Output is correct
48 Correct 40 ms 99276 KB Output is correct
49 Correct 40 ms 99288 KB Output is correct
50 Correct 42 ms 99312 KB Output is correct
51 Correct 40 ms 99276 KB Output is correct
52 Correct 40 ms 99312 KB Output is correct
53 Correct 40 ms 99284 KB Output is correct
54 Correct 45 ms 99328 KB Output is correct
55 Correct 94 ms 99324 KB Output is correct
56 Correct 77 ms 99300 KB Output is correct
57 Correct 78 ms 99276 KB Output is correct
58 Correct 75 ms 99308 KB Output is correct
59 Correct 80 ms 99304 KB Output is correct
60 Correct 75 ms 99276 KB Output is correct
61 Correct 89 ms 99276 KB Output is correct
62 Correct 98 ms 99304 KB Output is correct
63 Correct 83 ms 99276 KB Output is correct
64 Correct 85 ms 99312 KB Output is correct
65 Correct 96 ms 99304 KB Output is correct
66 Correct 96 ms 99276 KB Output is correct
67 Correct 75 ms 99300 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 43 ms 99364 KB Output is correct
2 Correct 38 ms 99340 KB Output is correct
3 Correct 38 ms 99316 KB Output is correct
4 Correct 38 ms 99288 KB Output is correct
5 Correct 46 ms 99320 KB Output is correct
6 Correct 41 ms 99324 KB Output is correct
7 Correct 39 ms 99268 KB Output is correct
8 Correct 43 ms 99300 KB Output is correct
9 Correct 39 ms 99244 KB Output is correct
10 Correct 38 ms 99288 KB Output is correct
11 Correct 37 ms 99340 KB Output is correct
12 Correct 40 ms 99360 KB Output is correct
13 Correct 337 ms 99452 KB Output is correct
14 Correct 376 ms 99500 KB Output is correct
15 Correct 449 ms 99480 KB Output is correct
16 Correct 543 ms 99404 KB Output is correct
17 Correct 681 ms 99512 KB Output is correct
18 Correct 678 ms 99480 KB Output is correct
19 Correct 655 ms 99532 KB Output is correct
20 Correct 43 ms 99340 KB Output is correct
21 Correct 38 ms 99240 KB Output is correct
22 Correct 38 ms 99376 KB Output is correct
23 Correct 41 ms 99276 KB Output is correct
24 Correct 38 ms 99348 KB Output is correct
25 Correct 39 ms 99276 KB Output is correct
26 Correct 38 ms 99276 KB Output is correct
27 Correct 39 ms 99344 KB Output is correct
28 Correct 40 ms 99320 KB Output is correct
29 Correct 38 ms 99276 KB Output is correct
30 Correct 40 ms 99276 KB Output is correct
31 Correct 39 ms 99280 KB Output is correct
32 Correct 40 ms 99356 KB Output is correct
33 Correct 39 ms 99324 KB Output is correct
34 Correct 40 ms 99240 KB Output is correct
35 Correct 39 ms 99256 KB Output is correct
36 Correct 38 ms 99320 KB Output is correct
37 Correct 40 ms 99276 KB Output is correct
38 Correct 43 ms 99300 KB Output is correct
39 Correct 40 ms 99320 KB Output is correct
40 Correct 39 ms 99344 KB Output is correct
41 Correct 42 ms 99276 KB Output is correct
42 Correct 39 ms 99320 KB Output is correct
43 Correct 39 ms 99340 KB Output is correct
44 Correct 40 ms 99320 KB Output is correct
45 Correct 39 ms 99328 KB Output is correct
46 Correct 39 ms 99292 KB Output is correct
47 Correct 39 ms 99296 KB Output is correct
48 Correct 40 ms 99340 KB Output is correct
49 Correct 38 ms 99352 KB Output is correct
50 Correct 38 ms 99276 KB Output is correct
51 Correct 38 ms 99268 KB Output is correct
52 Correct 37 ms 99340 KB Output is correct
53 Correct 38 ms 99336 KB Output is correct
54 Correct 44 ms 99304 KB Output is correct
55 Correct 38 ms 99264 KB Output is correct
56 Correct 39 ms 99248 KB Output is correct
57 Correct 38 ms 99260 KB Output is correct
58 Correct 41 ms 99268 KB Output is correct
59 Correct 43 ms 99320 KB Output is correct
60 Correct 39 ms 99260 KB Output is correct
61 Correct 39 ms 99252 KB Output is correct
62 Correct 41 ms 99356 KB Output is correct
63 Correct 41 ms 99292 KB Output is correct
64 Correct 40 ms 99276 KB Output is correct
65 Correct 40 ms 99276 KB Output is correct
66 Correct 40 ms 99288 KB Output is correct
67 Correct 42 ms 99312 KB Output is correct
68 Correct 40 ms 99276 KB Output is correct
69 Correct 40 ms 99312 KB Output is correct
70 Correct 40 ms 99284 KB Output is correct
71 Correct 45 ms 99328 KB Output is correct
72 Correct 94 ms 99324 KB Output is correct
73 Correct 77 ms 99300 KB Output is correct
74 Correct 78 ms 99276 KB Output is correct
75 Correct 75 ms 99308 KB Output is correct
76 Correct 80 ms 99304 KB Output is correct
77 Correct 75 ms 99276 KB Output is correct
78 Correct 89 ms 99276 KB Output is correct
79 Correct 98 ms 99304 KB Output is correct
80 Correct 83 ms 99276 KB Output is correct
81 Correct 85 ms 99312 KB Output is correct
82 Correct 96 ms 99304 KB Output is correct
83 Correct 96 ms 99276 KB Output is correct
84 Correct 75 ms 99300 KB Output is correct
85 Correct 150 ms 99320 KB Output is correct
86 Correct 363 ms 99404 KB Output is correct
87 Correct 327 ms 99376 KB Output is correct
88 Correct 311 ms 99476 KB Output is correct
89 Incorrect 301 ms 99424 KB Output isn't correct
90 Halted 0 ms 0 KB -