#include <bits/stdc++.h>
using namespace std;
#define sim template <class c
#define ris return *this
#define dor > debug &operator<<
#define eni(x) \
sim > typename enable_if<sizeof dud<c>(0) x 1, debug &>::type operator<<(c i) \
{
sim > struct rge
{
c b, e;
};
sim > rge<c> range(c i, c j) { return rge<c>{i, j}; }
sim > auto dud(c *x) -> decltype(cerr << *x, 0);
sim > char dud(...);
struct debug
{
#ifdef XOX
~debug()
{
cerr << endl;
}
eni(!=) cerr << boolalpha << i;
ris;
} eni(==) ris << range(begin(i), end(i));
}
sim, class b dor(pair<b, c> d)
{
ris << "" << d.first << " --> " << d.second << "";
}
sim dor(rge<c> d)
{
*this << "[";
for (auto it = d.b; it != d.e; ++it)
*this << ", " + 2 * (it == d.b) << *it;
ris << "]";
}
#else
sim dor(const c &)
{
ris;
}
#endif
}
;
#define imie(...) "" << #__VA_ARGS__ " = " << (__VA_ARGS__) << ", "
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define f first
#define s second
#define sz(x) (x).size()
#define all(x) (x).begin(), (x).end()
#define vt vector
using ll = long long;
using pi = pair<int, int>;
using pll = pair<ll, ll>;
using vi = vt<int>;
using vvi = vt<vi>;
using vll = vt<ll>;
using vvll = vt<vll>;
using vs = vt<string>;
using vpi = vt<pi>;
using vvpi = vt<vpi>;
using vpll = vt<pll>;
using vvpll = vt<vpll>;
const int mod = 1e9 + 7;
const int nax = 5e4+9;
int a[nax];
int dp[nax][2];
int n;
int main()
{
ios_base::sync_with_stdio(0);
cin.tie();
int ans = nax;
cin >> n;
for(int i = 1;i<=n;i++)
cin >> a[i];
//a[1] < a[2]
dp[1][0] = 0;
dp[1][1] = 1;
for(int j = 0;j<=1;j++)
{
for(int i = 2;i<=n;i++)
{
if(i % 2 == j)
{
dp[i][1] = min(dp[i-1][1],dp[i-1][0]) + 1;
dp[i][0] = dp[i-1][1];
if(a[i-1] < a[i])
dp[i][0] = min(dp[i][0], dp[i-1][0]);
}
else
{
dp[i][1] = min(dp[i-1][1],dp[i-1][0]) + 1;
dp[i][0] = dp[i-1][1];
if(a[i-1] > a[i])
dp[i][0] = min(dp[i][0], dp[i-1][0]);
}
}
ans = min(dp[n][0],ans);
ans = min(dp[n][1],ans);
}
cout << ans;
}
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 | #include <bits/stdc++.h> using namespace std; #define sim template <class c #define ris return *this #define dor > debug &operator<< #define eni(x) \ sim > typename enable_if<sizeof dud<c>(0) x 1, debug &>::type operator<<(c i) \ { sim > struct rge { c b, e; }; sim > rge<c> range(c i, c j) { return rge<c>{i, j}; } sim > auto dud(c *x) -> decltype(cerr << *x, 0); sim > char dud(...); struct debug { #ifdef XOX ~debug() { cerr << endl; } eni(!=) cerr << boolalpha << i; ris; } eni(==) ris << range(begin(i), end(i)); } sim, class b dor(pair<b, c> d) { ris << "" << d.first << " --> " << d.second << ""; } sim dor(rge<c> d) { *this << "["; for (auto it = d.b; it != d.e; ++it) *this << ", " + 2 * (it == d.b) << *it; ris << "]"; } #else sim dor(const c &) { ris; } #endif } ; #define imie(...) "" << #__VA_ARGS__ " = " << (__VA_ARGS__) << ", " #define pb push_back #define eb emplace_back #define lb lower_bound #define ub upper_bound #define f first #define s second #define sz(x) (x).size() #define all(x) (x).begin(), (x).end() #define vt vector using ll = long long; using pi = pair<int, int>; using pll = pair<ll, ll>; using vi = vt<int>; using vvi = vt<vi>; using vll = vt<ll>; using vvll = vt<vll>; using vs = vt<string>; using vpi = vt<pi>; using vvpi = vt<vpi>; using vpll = vt<pll>; using vvpll = vt<vpll>; const int mod = 1e9 + 7; const int nax = 5e4+9; int a[nax]; int dp[nax][2]; int n; int main() { ios_base::sync_with_stdio(0); cin.tie(); int ans = nax; cin >> n; for(int i = 1;i<=n;i++) cin >> a[i]; //a[1] < a[2] dp[1][0] = 0; dp[1][1] = 1; for(int j = 0;j<=1;j++) { for(int i = 2;i<=n;i++) { if(i % 2 == j) { dp[i][1] = min(dp[i-1][1],dp[i-1][0]) + 1; dp[i][0] = dp[i-1][1]; if(a[i-1] < a[i]) dp[i][0] = min(dp[i][0], dp[i-1][0]); } else { dp[i][1] = min(dp[i-1][1],dp[i-1][0]) + 1; dp[i][0] = dp[i-1][1]; if(a[i-1] > a[i]) dp[i][0] = min(dp[i][0], dp[i-1][0]); } } ans = min(dp[n][0],ans); ans = min(dp[n][1],ans); } cout << ans; } |
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