题意:
有一个法师 法师身上有k个属性 Vi, 1<=k<=5
有m只怪物, 每只怪物有k个属性 Aij, 当法师杀死某只怪物的时候, 每一项属性 Vi 可以根据 提高相应的值Bij
m<= 5*1e5
求法师最多可以杀死几只怪物 以及其最终属性是多少
题解:
由于k的值很小,所以我们可以开k个优先队列,每个队列的优先级是从小到大,先将所有怪物加入第一个队列,再将所有小于等于v[i]的怪物pop出来就加入下一个(i+1)队列,即
if(v[i] >= que[i].top){
que[i+1].push(que[i].top);
que[i].pop();
}
循环k遍,如果在第k个队列pop()出来, 就代表该怪物被消灭了, 法师属性更新一遍,再一边遍历一遍每个队列。依次,最后当没有怪物可以被pop出来就说明接下来没有怪物可以被消灭了。
要点:!!!!
输入这里是个坑,一开始用scanf,tle了一发,队友提醒说得输入优化,本来以为这个输入优化很简单,敲了一个read函数,结果发现还是tle,在网上看到别人的AC代码用的是 IO输入输出优化, 才知道有这个东西, 然后copy了dls的优化,有点长QAQ
#include<bits/stdc++.h>
#define ll long long
#define maxn 500005
using namespace std;
namespace IO {
#define BUF_SIZE 100000
#define OUT_SIZE 100000
#define ll long long
//fread->read
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;
}
//{printf("IO error!\n");system("pause");for (;;);exit(0);}
}
return *p1++;
}
inline bool blank(char ch) {
return ch==' '||ch=='\n'||ch=='\r'||ch=='\t';
}
inline void read(int &x) {
bool sign=0;
char ch=nc();
x=0;
for (; blank(ch); ch=nc());
if (IOerror)return;
if (ch=='-')sign=1,ch=nc();
for (; ch>='0'&&ch<='9'; ch=nc())x=x*10+ch-'0';
if (sign)x=-x;
}
inline void read(ll &x) {
bool sign=0;
char ch=nc();
x=0;
for (; blank(ch); ch=nc());
if (IOerror)return;
if (ch=='-')sign=1,ch=nc();
for (; ch>='0'&&ch<='9'; ch=nc())x=x*10+ch-'0';
if (sign)x=-x;
}
inline void read(double &x) {
bool sign=0;
char ch=nc();
x=0;
for (; blank(ch); ch=nc());
if (IOerror)return;
if (ch=='-')sign=1,ch=nc();
for (; ch>='0'&&ch<='9'; ch=nc())x=x*10+ch-'0';
if (ch=='.') {
double tmp=1;
ch=nc();
for (; ch>='0'&&ch<='9'; ch=nc())tmp/=10.0,x+=tmp*(ch-'0');
}
if (sign)x=-x;
}
inline void read(char *s) {
char ch=nc();
for (; blank(ch); ch=nc());
if (IOerror)return;
for (; !blank(ch)&&!IOerror; ch=nc())*s++=ch;
*s=0;
}
inline void read(char &c) {
for (c=nc(); blank(c); c=nc());
if (IOerror) {
c=-1;
return;
}
}
//fwrite->write
struct Ostream_fwrite {
char *buf,*p1,*pend;
Ostream_fwrite() {
buf=new char[BUF_SIZE];
p1=buf;
pend=buf+BUF_SIZE;
}
void out(char ch) {
if (p1==pend) {
fwrite(buf,1,BUF_SIZE,stdout);
p1=buf;
}
*p1++=ch;
}
void print(int x) {
static char s[15],*s1;
s1=s;
if (!x)*s1++='0';
if (x<0)out('-'),x=-x;
while(x)*s1++=x%10+'0',x/=10;
while(s1--!=s)out(*s1);
}
void println(int x) {
static char s[15],*s1;
s1=s;
if (!x)*s1++='0';
if (x<0)out('-'),x=-x;
while(x)*s1++=x%10+'0',x/=10;
while(s1--!=s)out(*s1);
out('\n');
}
void print(ll x) {
static char s[25],*s1;
s1=s;
if (!x)*s1++='0';
if (x<0)out('-'),x=-x;
while(x)*s1++=x%10+'0',x/=10;
while(s1--!=s)out(*s1);
}
void println(ll x) {
static char s[25],*s1;
s1=s;
if (!x)*s1++='0';
if (x<0)out('-'),x=-x;
while(x)*s1++=x%10+'0',x/=10;
while(s1--!=s)out(*s1);
out('\n');
}
void print(double x,int y) {
static ll mul[]= {1,10,100,1000,10000,100000,1000000,10000000,100000000,
1000000000,10000000000LL,100000000000LL,1000000000000LL,10000000000000LL,
100000000000000LL,1000000000000000LL,10000000000000000LL,100000000000000000LL
};
if (x<-1e-12)out('-'),x=-x;
x*=mul[y];
ll x1=(ll)floor(x);
if (x-floor(x)>=0.5)++x1;
ll x2=x1/mul[y],x3=x1-x2*mul[y];
print(x2);
if (y>0) {
out('.');
for (size_t i=1; i<y&&x3*mul[i]<mul[y]; out('0'),++i);
print(x3);
}
}
void println(double x,int y) {
print(x,y);
out('\n');
}
void print(char *s) {
while (*s)out(*s++);
}
void println(char *s) {
while (*s)out(*s++);
out('\n');
}
void flush() {
if (p1!=buf) {
fwrite(buf,1,p1-buf,stdout);
p1=buf;
}
}
~Ostream_fwrite() {
flush();
}
} Ostream;
inline void print(int x) {
Ostream.print(x);
}
inline void println(int x) {
Ostream.println(x);
}
inline void print(char x) {
Ostream.out(x);
}
inline void println(char x) {
Ostream.out(x);
Ostream.out('\n');
}
inline void print(ll x) {
Ostream.print(x);
}
inline void println(ll x) {
Ostream.println(x);
}
inline void print(double x,int y) {
Ostream.print(x,y);
}
inline void println(double x,int y) {
Ostream.println(x,y);
}
inline void print(char *s) {
Ostream.print(s);
}
inline void println(char *s) {
Ostream.println(s);
}
inline void println() {
Ostream.out('\n');
}
inline void flush() {
Ostream.flush();
}
#undef ll
#undef OUT_SIZE
#undef BUF_SIZE
};
// 以上为输入输出优化
int v[5+1], a[5+1][maxn], b[5+1][maxn];
priority_queue<pair<int,int>,vector<pair<int,int> >,greater<pair<int,int> > >que[5+1];
int main() {
int t;
cin>>t;
while(t--) {
int k, m;
IO::read(m);
IO::read(k);
for(int i = 0; i < k; i++) {
IO::read(v[i]);
while(!que[i].empty()) {
que[i].pop();
}
}
for(int j = 0; j < m; j++) {
for(int i = 0; i < k; i++) {
IO::read(a[i][j]);
}
for(int i = 0; i < k; i++) {
IO::read(b[i][j]);
}
}
for(int i = 0; i < m; i++) {
que[0].push(make_pair(a[0][i], i));
}
bool ok = false;
int ans = 0;
while(!ok) {
ok = true;
for(int i = 0; i < k; i++) {
while(!que[i].empty()) {
int value = que[i].top().first;
int id = que[i].top().second;
if(v[i] < value) {
break;
}
if(i == k-1) {
ok = false;
ans++;
que[i].pop();
for(int j = 0; j < k ; j++) {
v[j] += b[j][id];
}
} else {
que[i].pop();
que[i+1].push(make_pair(a[i+1][id], id));
}
}
}
}
printf("%d\n",ans);
printf("%d",v[0]);
for(int i = 1; i < k; i++) {
printf(" %d",v[i]);
}
printf("\n");
}
return 0;
}