Title: https://codeforces.com/contest/1287/problem/C
Thinking a: greedy
the entire string into \ (0 \) segment and non \ (0 \) paragraph
readily available:
If a \ (0 \) end sections are both even or odd, even or both are filled fill odd, or \ (complexity + = 2 \)
If a \ (0 \) at both ends of segments of different parity, \ (. 1 Complexity = + \)
if a \ (0 \) segment has only one end, filled with it have that same period parity number, or \ (complexity + = 1 \)
will have both ends of the \ (0 \) length from small to large for the greedy
final determination only one end the \ (0 \) segment
#include<bits/stdc++.h>
using namespace std;
const int N=105;
int n;
int a[N];
int b[2][N];
int t[2];
int c[3];
int ans;
pair<int,int> st,ed;
void init()
{
if((n&1)==0) c[0]=c[1]=n/2;
else c[0]=n/2,c[1]=n/2+1;
}
void solve()
{
int l=0,r=0,cnt=0;
int pre=1;
int f=0;
for(int i=1;i<=n;i++)
{
if(a[i]==0)
{
if(cnt==0) l=pre&1;
cnt++;
}
else
{
c[a[i]&1]--;
if(a[i-1]!=0)
{
if((a[i]&1)!=(a[i-1]&1)) ans++;
}
if(cnt)
{
r=a[i]&1;
if(!a[1]&&!f) f=1,st={cnt,r};
else if(l==r) b[l][++t[l]]=cnt;
else ans++;
cnt=0;
}
pre=a[i];
}
}
if(cnt) ed={cnt,l};
sort(b[0]+1,b[0]+1+t[0]);
sort(b[1]+1,b[1]+1+t[1]);
for(int i=0;i<2;i++)
for(int j=1;j<=t[i];j++)
{
if(c[i]>=b[i][j]) c[i]-=b[i][j];
else ans+=2;
}
if(c[st.second]>=st.first) c[st.second]-=st.first;
else ans++;
if(c[ed.second]<ed.first) ans++;
cout<<ans<<endl;
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);
//freopen("in.txt","r",stdin);
cin>>n;
init();
for(int i=1;i<=n;i++) cin>>a[i];
solve();
return 0;
}
Two ideas: DP
one dimension: length, two-dimensional: the remaining even number, D: the number of the parity of the current
limit:
When there is an even number and the first number is an even number or 0: \ (DP [. 1] [n-/ 2-1 ] [0] = 0 \)
when the first number is \ (0 \) or odd: \ (DP [. 1] [n-/ 2] [. 1] = 0 \)
state transition:
① current fill the even: \ ( dp [i] [j-1
] [0] = min (dp [i] [j-1] [0], dp [i-1] [j] [k] + (k == 1)) \) current fill odd ②: \ (DP [I] [J] [. 1] = min (DP [I] [J] [. 1], DP [. 1-I] [J] [K] + (K ==. 1) ) \)
#include<bits/stdc++.h>
using namespace std;
const int N=105;
int n;
int a[N];
int dp[N][N][2];
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);
//freopen("in.txt","r",stdin);
cin>>n;
for(int i=1;i<=n;i++) cin>>a[i];
memset(dp,0x3f,sizeof dp);
if(n>1&&(a[1]==0||a[1]%2==0)) dp[1][n/2-1][0]=0;
if(a[1]==0||a[1]%2==1) dp[1][n/2][1]=0;
for(int i=2;i<=n;i++)
for(int j=0;j<=n/2;j++)
for(int k=0;k<2;k++)
{
if(j>0&&(a[i]==0||a[i]%2==0)) dp[i][j-1][0]=min(dp[i][j-1][0],dp[i-1][j][k]+(k==1));
if(i+j-1<n&&(a[i]==0||a[i]%2==1)) dp[i][j][1]=min(dp[i][j][1],dp[i-1][j][k]+(k==0));
}
cout<<min(dp[n][0][0],dp[n][0][1])<<endl;
return 0;
}