传送门:CodeForces-1348E
思路分析
设dp[i][j]表示到第i棵树,剩了j个红色的最大筐数,蓝色的数量可以通过红色计算出来
枚举dp[i-1][j]来更新状态,对于当前树有两种情况:
- 选择放进同树筐内,枚举s表示放s个红色
- 不放同树筐
具体转移见代码部分
这题比较毒瘤卡了ll取模
样例输入
2 5
2 1
1 3
样例输出
0
AC代码
#include <bits/stdc++.h>
#define ls x<<1
#define rs x<<1|1
#define fi first
#define se second
#define ll long long
#define pb push_back
#define mp make_pair
#define fun function
#define sz(x) (x).size()
#define lowbit(x) (x)&(-x)
#define all(x) (x).begin(),(x).end()
#define mem(a,b) memset(a,b,sizeof(a))
namespace FastIO {
#define BUF_SIZE 100000
#define OUT_SIZE 100000
bool IOerror=0;
inline char nc() {
static char buf[BUF_SIZE],*p1=buf+BUF_SIZE,*pend=buf+BUF_SIZE;
if(p1==pend) {
p1=buf;
pend=buf+fread(buf,1,BUF_SIZE,stdin);
if(pend==p1) {
IOerror=1;
return -1;
}
}
return *p1++;
}
inline bool blank(char ch) {
return ch==' '||ch=='\n'||ch=='\r'||ch=='\t';
}
template<class T> inline bool read(T &x) {
bool sign=0;
char ch=nc();
x=0;
for(; blank(ch); ch=nc());
if(IOerror)return false;
if(ch=='-')sign=1,ch=nc();
for(; ch>='0'&&ch<='9'; ch=nc())x=x*10+ch-'0';
if(sign)x=-x;
return true;
}
template<class T,class... U>bool read(T& h,U&... t) {
return read(h)&&read(t...);
}
#undef OUT_SIZE
#undef BUF_SIZE
};
using namespace std;
using namespace FastIO;
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
const int INF = 0x3f3f3f3f;
const int N = 555;
ll dp[N][N],a[N],b[N];
int main() {
#ifdef xiaofan
freopen("1.in","r",stdin);
freopen("1.out","w",stdout);
#endif
int n,k;
read(n,k);
for(int i=1;i<=n;i++) read(a[i],b[i]);
mem(dp,-1);
dp[0][0]=0;
ll sum=0;
for(int i=1;i<=n;i++){
sum+=a[i]+b[i];
for(int j=0;j<k;j++){
if(dp[i-1][j]<0) continue;
for(int s=1;s<k&&s<=a[i];s++){
if(k-s>b[i]) continue;
int sum1=j+a[i]-s;
int sum2=sum-dp[i-1][j]*k-k-sum1;
dp[i][sum1%k]=max(dp[i][sum1%k],dp[i-1][j]+sum1/k+sum2/k+1);
}
int sum1=j+a[i];
int sum2=sum-dp[i-1][j]*k-sum1;
dp[i][sum1%k]=max(dp[i][sum1%k],dp[i-1][j]+sum1/k+sum2/k);
}
}
ll ans=0;
for(int j=0;j<k;j++) ans=max(dp[n][j],ans);
cout<<ans<<endl;
return 0;
}