#include <cstdio> #include <iostream> #include <algorithm> #include <cstring> #include <vector> #include <set> #include <map> #include <array> #include <random> #include <cmath> #include <chrono> #include <list> #include <ctime> #include <sstream> #include <queue> #include <climits> #include <stack> #include <valarray> #include <random> #include <bitset> #include <numeric> #include <iomanip> #include <cassert> using namespace std; typedef vector<int> vi; typedef pair<int,int> pii; typedef long long ll; #define rep(x, b, e) for(int x=(b); x<(e); ++x) #define trav(a, x) for(auto& a : x) #define ford(x, b, e) for(int x=((int)(b))-1; x>=(e); --x) #define all(c) c.begin(),c.end() #define sz(x) ((int)((x).size())) #define pb push_back #define eb emplace_back #define st first #define nd second #define mp(x,y) make_pair(x,y) typedef short int sint; template<typename T> bool ckmin(T& a, const T& b){return b<a?a=b,1:0;} template<typename T> bool ckmax(T& a, const T& b){return b>a?a=b,1:0;} template <typename A, typename B> string to_string(pair<A, B> p); template <typename A, typename B, typename C> string to_string(tuple<A, B, C> p); template <typename A, typename B, typename C, typename D> string to_string(tuple<A, B, C, D> p); string to_string(const string& s) { return '"' + s + '"'; } string to_string(char c) { return string(1, c); } string to_string(const char* s) { return to_string((string) s); } string to_string(bool b) { return (b ? "true" : "false"); } string to_string(vector<bool> v) { bool first = true; string res = "{"; for (int i = 0; i < static_cast<int>(v.size()); i++) { if (!first) { res += ", "; } first = false; res += to_string(v[i]); } res += "}"; return res; } template <size_t N> string to_string(bitset<N> v) { string res = ""; for (size_t i = 0; i < N; i++) { res += static_cast<char>('0' + v[i]); } return res; } template <typename A> string to_string(A v) { bool first = true; string res = "{"; for (const auto &x : v) { if (!first) { res += ", "; } first = false; res += to_string(x); } res += "}"; return res; } template <typename A, typename B> string to_string(pair<A, B> p) { return "(" + to_string(p.first) + ", " + to_string(p.second) + ")"; } template <typename A, typename B, typename C> string to_string(tuple<A, B, C> p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")"; } template <typename A, typename B, typename C, typename D> string to_string(tuple<A, B, C, D> p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")"; } void debug_out() { cerr << endl; } template <typename Head, typename... Tail> void debug_out(Head H, Tail... T) { cerr << " " << to_string(H); debug_out(T...); } #ifdef LOCAL #define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__) #else #define debug(...) 42 #endif // #include <atcoder/modint> // using namespace atcoder; // using mint = modint998244353; // modint1000000007; // typedef vector<mint> vmi; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); // use rng() to get unsigned int // mt19937_64 for random long longs int f(const vi& a, bool evenBigger) { int n = sz(a); vector<vi> dp(2, vi(n, n)); dp[0][0] = 0; // unchanged dp[1][0] = 1; // this is changed rep(i, 1, n ) { bool shouldIBeBiggerThanPrev = (i%2) == evenBigger; if (shouldIBeBiggerThanPrev) { if (a[i] > a[i-1]) { // I can go forward without changing dp[0][i] = min(dp[0][i-1], dp[1][i-1]); dp[1][i] = 1 + min(dp[0][i-1], dp[1][i-1]); } else { dp[0][i] = dp[1][i-1]; dp[1][i] = 1 + min(dp[0][i-1], dp[1][i-1]); } } else { if (a[i] < a[i-1]) { dp[0][i] = min(dp[0][i-1], dp[1][i-1]); dp[1][i] = 1 + min(dp[0][i-1], dp[1][i-1]); } else { dp[0][i] = dp[1][i-1]; dp[1][i] = 1 + min(dp[0][i-1], dp[1][i-1]); } } } return min(dp[0].back(), dp[1].back()); } void solve() { int n; cin >> n; vi a(n); rep(i, 0, n) { cin >> a[i]; } int r = min( f(a, true), f(a, false) ); cout << r << endl; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); int t; // cin >> t; t = 1; while (t--) { solve(); } }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 | #include <cstdio> #include <iostream> #include <algorithm> #include <cstring> #include <vector> #include <set> #include <map> #include <array> #include <random> #include <cmath> #include <chrono> #include <list> #include <ctime> #include <sstream> #include <queue> #include <climits> #include <stack> #include <valarray> #include <random> #include <bitset> #include <numeric> #include <iomanip> #include <cassert> using namespace std; typedef vector<int> vi; typedef pair<int,int> pii; typedef long long ll; #define rep(x, b, e) for(int x=(b); x<(e); ++x) #define trav(a, x) for(auto& a : x) #define ford(x, b, e) for(int x=((int)(b))-1; x>=(e); --x) #define all(c) c.begin(),c.end() #define sz(x) ((int)((x).size())) #define pb push_back #define eb emplace_back #define st first #define nd second #define mp(x,y) make_pair(x,y) typedef short int sint; template<typename T> bool ckmin(T& a, const T& b){return b<a?a=b,1:0;} template<typename T> bool ckmax(T& a, const T& b){return b>a?a=b,1:0;} template <typename A, typename B> string to_string(pair<A, B> p); template <typename A, typename B, typename C> string to_string(tuple<A, B, C> p); template <typename A, typename B, typename C, typename D> string to_string(tuple<A, B, C, D> p); string to_string(const string& s) { return '"' + s + '"'; } string to_string(char c) { return string(1, c); } string to_string(const char* s) { return to_string((string) s); } string to_string(bool b) { return (b ? "true" : "false"); } string to_string(vector<bool> v) { bool first = true; string res = "{"; for (int i = 0; i < static_cast<int>(v.size()); i++) { if (!first) { res += ", "; } first = false; res += to_string(v[i]); } res += "}"; return res; } template <size_t N> string to_string(bitset<N> v) { string res = ""; for (size_t i = 0; i < N; i++) { res += static_cast<char>('0' + v[i]); } return res; } template <typename A> string to_string(A v) { bool first = true; string res = "{"; for (const auto &x : v) { if (!first) { res += ", "; } first = false; res += to_string(x); } res += "}"; return res; } template <typename A, typename B> string to_string(pair<A, B> p) { return "(" + to_string(p.first) + ", " + to_string(p.second) + ")"; } template <typename A, typename B, typename C> string to_string(tuple<A, B, C> p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")"; } template <typename A, typename B, typename C, typename D> string to_string(tuple<A, B, C, D> p) { return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")"; } void debug_out() { cerr << endl; } template <typename Head, typename... Tail> void debug_out(Head H, Tail... T) { cerr << " " << to_string(H); debug_out(T...); } #ifdef LOCAL #define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__) #else #define debug(...) 42 #endif // #include <atcoder/modint> // using namespace atcoder; // using mint = modint998244353; // modint1000000007; // typedef vector<mint> vmi; mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); // use rng() to get unsigned int // mt19937_64 for random long longs int f(const vi& a, bool evenBigger) { int n = sz(a); vector<vi> dp(2, vi(n, n)); dp[0][0] = 0; // unchanged dp[1][0] = 1; // this is changed rep(i, 1, n ) { bool shouldIBeBiggerThanPrev = (i%2) == evenBigger; if (shouldIBeBiggerThanPrev) { if (a[i] > a[i-1]) { // I can go forward without changing dp[0][i] = min(dp[0][i-1], dp[1][i-1]); dp[1][i] = 1 + min(dp[0][i-1], dp[1][i-1]); } else { dp[0][i] = dp[1][i-1]; dp[1][i] = 1 + min(dp[0][i-1], dp[1][i-1]); } } else { if (a[i] < a[i-1]) { dp[0][i] = min(dp[0][i-1], dp[1][i-1]); dp[1][i] = 1 + min(dp[0][i-1], dp[1][i-1]); } else { dp[0][i] = dp[1][i-1]; dp[1][i] = 1 + min(dp[0][i-1], dp[1][i-1]); } } } return min(dp[0].back(), dp[1].back()); } void solve() { int n; cin >> n; vi a(n); rep(i, 0, n) { cin >> a[i]; } int r = min( f(a, true), f(a, false) ); cout << r << endl; } int main() { ios_base::sync_with_stdio(false); cin.tie(0); int t; // cin >> t; t = 1; while (t--) { solve(); } } |