Submission #688476

#TimeUsernameProblemLanguageResultExecution timeMemory
688476AJR07Lamps (JOI19_lamps)C++17
100 / 100
156 ms161240 KiB
#include <bits/stdc++.h> using namespace std; #ifdef DEBUG #define DBGRUN(stmt) stmt #define DBG1(x) cout << #x << ": " << (x) << endl #define DBG2(x, y) cout << #x << ": " << (x) << ", " << #y << ": " << (y) << endl #define DBG3(x, y, z) cout << #x << ": " << (x) << ", " << #y << ": " << (y) << ", " << #z << ": " << (z) << endl #define DBG4(w, x, y, z) cout << #w << ": " << (w) << ", " << #x << ": " << (x) << ", " << #y << ": " << (y) << ", " << #z << ": " << (z) << endl #define DBG_ARR(a, e) cout << #a << ": "; for (int i = 0; i < e; i++) cout << a[i] << ' '; cout << endl #define DBG_ARR2D(a, s1, e1, s2, e2) cout << #a << ": " << endl; for (int i = s1; i < e1; i++) { for (int j = s2; j < e2; j++) cout << a[i][j] << ' '; cout << '\n'; }cout << endl #define DBG_VEC(v) cout << #v << ": "; for (auto i : v) cout << i << ' '; cout << endl #define DBG_HERE cout << "reached line: " << __LINE__ << endl #else #define DBGRUN(stmt) #define DBG1(x) #define DBG2(x, y) #define DBG3(x, y, z) #define DBG4(w, x, y, z) #define DBG_ARR(a, e) #define DBG_ARR2D(a, s1, e1, s2, e2) #define DBG_VEC(v) #define DBG_HERE #endif #define int long long #define f first #define s second #define pii pair<int, int> #define FOR(a, b, c) for (int(a) = (b); (a) < (c); ++(a)) #define FORN(a, b, c) for (int(a) = (b); (a) <= (c); ++(a)) #define FORR(a, b, c) for (int(a) = (b); (a) >= (c); --(a)) #define ALLV(v) v.begin(), v.end() #define ALLA(arr, sz) arr, arr + sz #define SORT(v) sort(ALL(v)) #define REVERSE(v) reverse(ALL(v)) #define SORTA(arr, sz) sort(ALLA(arr, sz)) #define REVERSEA(arr, sz) reverse(ALLA(arr, sz)) template <typename A, typename B> ostream& operator<<(ostream& out, const pair<A, B>& a) { out << "(" << a.first << ", " << a.second << ")"; return out; } template<typename ...Ts, size_t ...Is> ostream& println_tuple_impl(ostream& os, tuple<Ts...> tuple, index_sequence<Is...>) { static_assert(sizeof...(Is) == sizeof...(Ts), "Indices must have same number of elements as tuple types!"); static_assert(sizeof...(Ts) > 0, "Cannot insert empty tuple into stream."); auto last = sizeof...(Ts) - 1; os << "("; return ((os << get<Is>(tuple) << (Is != last ? ", " : ")\n")), ...); } template<typename ...Ts> ostream& operator<<(ostream& os, const tuple<Ts...>& tuple) { return println_tuple_impl(os, tuple, index_sequence_for<Ts...>{}); } int N, memo[1000010][2][2][2]; vector<bool> AA, BB; string A, B; int dp(int idx, bool toggleOpen, bool rangeSetOpen, bool toggleFirst) { if (memo[idx][toggleOpen][rangeSetOpen][toggleFirst] != -1) return memo[idx][toggleOpen][rangeSetOpen][toggleFirst]; if (idx == N) return 0; int res = 1e18; if (!toggleOpen && !rangeSetOpen) { // don't do any operations if (AA[idx] == BB[idx]) res = min(res, dp(idx + 1, false, false, false)); // do toggle if (AA[idx] == !BB[idx]) res = min(res, dp(idx + 1, true, false, true) + 1); // do range_set res = min(res, dp(idx + 1, false, true, false) + 1); // do toggle and range_set, but in different orders res = min(res, dp(idx + 1, true, true, true) + 2); res = min(res, dp(idx + 1, true, true, false) + 2); } if (!toggleOpen && rangeSetOpen) { // close rangeSetOpen if (AA[idx] == BB[idx]) res = min(res, dp(idx + 1, false, false, false)); // do toggle & close rangeSetOpen if (AA[idx] == !BB[idx]) res = min(res, dp(idx + 1, true, false, true) + 1); // do rangSetOpen as it is if (BB[idx] == BB[idx - 1]) res = min(res, dp(idx + 1, false, true, false)); // do toggle and range_set if (!BB[idx - 1] == BB[idx]) res = min(res, dp(idx + 1, true, true, false) + 1); } if (toggleOpen && !rangeSetOpen) { // close toggleOpen if (AA[idx] == BB[idx]) res = min(res, dp(idx + 1, false, false, false)); // do rangeSetOpen & close toggle res = min(res, dp(idx + 1, false, true, false) + 1); // do toggle as it is if (AA[idx] == !BB[idx]) res = min(res, dp(idx + 1, true, false, true)); // do toggle and range_set res = min(res, dp(idx + 1, true, true, true) + 1); } if (toggleOpen && rangeSetOpen) { // do it as it is if (BB[idx - 1] == BB[idx]) res = min(res, dp(idx + 1, true, true, true)); // close rangeSetOpen if (AA[idx] == !BB[idx]) res = min(res, dp(idx + 1, true, false, true)); // close toggle if (BB[idx] == !BB[idx - 1]) res = min(res, dp(idx + 1, false, true, false)); // close both if (AA[idx] == BB[idx]) res = min(res, dp(idx + 1, false, false, false)); } memo[idx][toggleOpen][rangeSetOpen][toggleFirst] = res; return res; } int32_t main() { memset(memo, -1, sizeof memo); ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); cin >> N; cin >> A >> B; for (auto i : A) AA.push_back(i - '0'); for (auto i : B) BB.push_back(i - '0'); cout << dp(0, false, false, false); }
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