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// problem statement: https://leetcode.cn/problems/construct-string-with-minimum-cost/ | ||
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#include <bits/stdc++.h> | ||
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using namespace std; | ||
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class Solution { | ||
private: | ||
class aho_corasick_automation { | ||
public: | ||
vector<vector<int>> son; | ||
vector<int> cost, fail, len, last; | ||
int tot = 0; | ||
void add(const string &s, int s_cost) { | ||
int u = 0; | ||
for (char c : s) { | ||
if (tot >= son.size()) { son.push_back(vector<int>(26)); } | ||
int v = c - 'a'; | ||
if (!son[u][v]) { son[u][v] = ++tot; } | ||
if (tot >= son.size()) { son.push_back(vector<int>(26)); } | ||
u = son[u][v]; | ||
} | ||
if (tot >= cost.size()) { cost.resize(tot + 1, std::numeric_limits<int>::max()); } | ||
if (tot >= len.size()) { len.resize(tot + 1, 0); } | ||
cost[u] = min(cost[u], s_cost); | ||
len[u] = s.size(); | ||
} | ||
void build() { | ||
fail.resize(tot + 1); | ||
last.resize(tot + 1); | ||
queue<int> q; | ||
for (int i = 0; i < 26; i++) { | ||
if (son[0][i]) { q.push(son[0][i]); } | ||
} | ||
while (!q.empty()) { | ||
int u = q.front(); | ||
q.pop(); | ||
for (int i = 0; i < 26; i++) { | ||
if (son[u][i]) { | ||
q.push(son[u][i]); | ||
fail[son[u][i]] = son[fail[u]][i]; | ||
last[son[u][i]] = | ||
len[fail[son[u][i]]] > 0 ? fail[son[u][i]] : last[fail[son[u][i]]]; | ||
} else { | ||
son[u][i] = son[fail[u]][i]; | ||
} | ||
} | ||
} | ||
} | ||
}; | ||
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public: | ||
int minimumCost(string target, vector<string> &words, vector<int> &costs) { | ||
aho_corasick_automation ac; | ||
for (auto &&word : words) { ac.add(word, costs[&word - &words[0]]); } | ||
ac.build(); | ||
int n = target.size(); | ||
vector<int> dp(n + 1, std::numeric_limits<int>::max() / 2); | ||
dp[0] = 0; | ||
int cur = 0; | ||
for (int i = 1; i <= n; i++) { | ||
cur = ac.son[cur][target[i - 1] - 'a']; | ||
if (ac.len[cur] != 0) { dp[i] = min(dp[i], dp[i - ac.len[cur]] + ac.cost[cur]); } | ||
for (int j = ac.last[cur]; j != 0; j = ac.last[j]) { | ||
if (ac.len[j] != 0) { dp[i] = min(dp[i], dp[i - ac.len[j]] + ac.cost[j]); } | ||
} | ||
} | ||
return dp[n] == std::numeric_limits<int>::max() / 2 ? -1 : dp[n]; | ||
} | ||
}; |