// Karol Kosinski 2022
#include <bits/stdc++.h>
#define FOR(i,a,b) for(int i=(a),_b=(b);i<_b;++i)
#define FR_(i,a,b) for(int i=(a),_b=(b);i<=_b;++i)
#define FD_(i,b,a) for(int i=(b),_a=(a);i>=_a;--i)
#define ALL(c) (c).begin(),(c).end()
#define SIZE(c) int((c).size())
#define TIE(x...) int x;tie(x)
#define X first
#define Y second
#ifndef ENABLE_DEBUG
#define DEB(k,p,f,x...)
#else
#define DEB(k,p,f,x...) {if(k)printf("--------%4d : %s\n",__LINE__,__FUNCTION__);if(p)f(x);}
#endif
#define DEBL DEB(1,1,void,0)
#define DEBF(f,x...) DEB(1,1,f,x)
#define DEBC(p,x...) DEB(0,p,printf,x)
#define DEBUG(x...) DEB(0,1,printf,x)
using namespace std;
using LL = long long;
using ULL = unsigned long long;
using PII = pair<int, int>;
using TIII = tuple<int, int, int>;
constexpr int INFTY = 1'000'005;
constexpr int NX = 50'005;
int A[NX], B[NX], C[NX];
int solve(int n, int* S)
{
int i = 1, r = 0;
while ( i <= n )
{
if ( A[i] <= A[ i - 1 ] ) ++ S[i];
if ( A[i] <= A[ i + 1 ] ) ++ S[i];
i += 2;
}
i = 2;
while ( i <= n )
{
if ( A[i] >= A[ i - 1 ] ) ++ S[i];
if ( A[i] >= A[ i + 1 ] ) ++ S[i];
i += 2;
}
FR_(j,1,n)
{
if ( S[j] != 2 ) continue;
++ r;
DEBUG("*** %d\n", j);
S[j] = 0;
-- S[ j - 1 ], -- S[ j + 1 ];
}
FR_(j,1,n)
{
if ( S[j] != 1 ) continue;
++ r;
DEBUG("*** %d\n", j);
S[j] = 0;
-- S[ j + 1 ];
}
DEBUG("* %d\n", r);
return r;
}
int main()
{
int n;
scanf("%d", &n);
FR_(i,1,n) scanf("%d", A + i);
A[ n + 1 ] = ( n % 2 == 0 ) ? INFTY : -INFTY;
A[0] = -INFTY;
int res = solve(n, B);
FR_(i,1,n) A[i] *= -1;
res = min( res, solve(n, C) );
printf("%d\n", res);
return 0;
}
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 | // Karol Kosinski 2022 #include <bits/stdc++.h> #define FOR(i,a,b) for(int i=(a),_b=(b);i<_b;++i) #define FR_(i,a,b) for(int i=(a),_b=(b);i<=_b;++i) #define FD_(i,b,a) for(int i=(b),_a=(a);i>=_a;--i) #define ALL(c) (c).begin(),(c).end() #define SIZE(c) int((c).size()) #define TIE(x...) int x;tie(x) #define X first #define Y second #ifndef ENABLE_DEBUG #define DEB(k,p,f,x...) #else #define DEB(k,p,f,x...) {if(k)printf("--------%4d : %s\n",__LINE__,__FUNCTION__);if(p)f(x);} #endif #define DEBL DEB(1,1,void,0) #define DEBF(f,x...) DEB(1,1,f,x) #define DEBC(p,x...) DEB(0,p,printf,x) #define DEBUG(x...) DEB(0,1,printf,x) using namespace std; using LL = long long; using ULL = unsigned long long; using PII = pair<int, int>; using TIII = tuple<int, int, int>; constexpr int INFTY = 1'000'005; constexpr int NX = 50'005; int A[NX], B[NX], C[NX]; int solve(int n, int* S) { int i = 1, r = 0; while ( i <= n ) { if ( A[i] <= A[ i - 1 ] ) ++ S[i]; if ( A[i] <= A[ i + 1 ] ) ++ S[i]; i += 2; } i = 2; while ( i <= n ) { if ( A[i] >= A[ i - 1 ] ) ++ S[i]; if ( A[i] >= A[ i + 1 ] ) ++ S[i]; i += 2; } FR_(j,1,n) { if ( S[j] != 2 ) continue; ++ r; DEBUG("*** %d\n", j); S[j] = 0; -- S[ j - 1 ], -- S[ j + 1 ]; } FR_(j,1,n) { if ( S[j] != 1 ) continue; ++ r; DEBUG("*** %d\n", j); S[j] = 0; -- S[ j + 1 ]; } DEBUG("* %d\n", r); return r; } int main() { int n; scanf("%d", &n); FR_(i,1,n) scanf("%d", A + i); A[ n + 1 ] = ( n % 2 == 0 ) ? INFTY : -INFTY; A[0] = -INFTY; int res = solve(n, B); FR_(i,1,n) A[i] *= -1; res = min( res, solve(n, C) ); printf("%d\n", res); return 0; } |
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