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QOJ
ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#386935 | #8554. Bot Friends | ucup-team087# | WA | 74ms | 3892kb | C++20 | 16.9kb | 2024-04-11 21:45:20 | 2024-04-11 21:45:20 |
Judging History
answer
#ifndef LOCAL
#pragma GCC optimize ("Ofast")
#pragma GCC optimize ("unroll-loops")
#endif
#include <bits/stdc++.h>
using namespace std;
using ll=long long;
#define int ll
bool dbg=false;
#define rng(i,a,b) for(int i=int(a);i<int(b);i++)
#define rep(i,b) rng(i,0,b)
#define gnr(i,a,b) for(int i=int(b)-1;i>=int(a);i--)
#define per(i,b) gnr(i,0,b)
#define pb push_back
#define eb emplace_back
#define a first
#define b second
#define bg begin()
#define ed end()
#define all(x) x.bg,x.ed
#define si(x) int(x.size())
#ifdef LOCAL
#define dmp(x) cerr<<__LINE__<<" "<<#x<<" "<<x<<endl
#else
#define dmp(x) void(0)
#endif
template<class t,class u> bool chmax(t&a,u b){if(a<b){a=b;return true;}else return false;}
template<class t,class u> bool chmin(t&a,u b){if(b<a){a=b;return true;}else return false;}
template<class t> using vc=vector<t>;
template<class t> using vvc=vc<vc<t>>;
using pi=pair<int,int>;
using vi=vc<int>;
using vvi=vc<vc<int>>;
template<class t,class u>
ostream& operator<<(ostream& os,const pair<t,u>& p){
return os<<"{"<<p.a<<","<<p.b<<"}";
}
template<class t> ostream& operator<<(ostream& os,const vc<t>& v){
os<<"{";
for(auto e:v)os<<e<<",";
return os<<"}";
}
#define mp make_pair
#define mt make_tuple
#define one(x) memset(x,-1,sizeof(x))
#define zero(x) memset(x,0,sizeof(x))
#ifdef LOCAL
void dmpr(ostream&os){os<<endl;}
template<class T,class... Args>
void dmpr(ostream&os,const T&t,const Args&... args){
os<<t<<" ";
dmpr(os,args...);
}
#define dmp2(...) dmpr(cerr,__LINE__,##__VA_ARGS__)
#else
#define dmp2(...) void(0)
#endif
using uint=unsigned;
using ull=unsigned long long;
template<class t,size_t n>
ostream& operator<<(ostream&os,const array<t,n>&a){
return os<<vc<t>(all(a));
}
ll rand_int(ll l, ll r) { //[l, r]
//#ifdef LOCAL
static mt19937_64 gen;
/*#else
static mt19937_64 gen(chrono::steady_clock::now().time_since_epoch().count());
#endif*/
return uniform_int_distribution<ll>(l, r)(gen);
}
ll rand_int(ll k){ //[0,k)
return rand_int(0,k-1);
}
string rand_string(int n,char lw,char up){
string s(n,'?');
rep(i,n)s[i]=rand_int(lw,up);
return s;
}
int current_run_id,run_batch_size=1000;
int calc_random_limit(){
return current_run_id/run_batch_size+1;
}
template<class t>
void generate_single(t&a){
a=rand_int(1,calc_random_limit());
}
void generate_single(string&a){
int n;generate_single(n);
a=rand_string(n,'a','b');
}
template<class t,class u>
void generate_single(pair<t,u>&a){
generate_single(a.a);
generate_single(a.b);
}
//https://trap.jp/post/1224/
template<class... Args>
void input(Args&... a){
if(dbg){
(generate_single(a),...);
}else{
(cin >> ... >> a);
}
}
#define INT(...) int __VA_ARGS__;input(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;input(__VA_ARGS__)
#define ULL(...) ull __VA_ARGS__;input(__VA_ARGS__)
#define STR(...) string __VA_ARGS__;input(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__;input(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__;input(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__;input(__VA_ARGS__)
#define overload3(a,b,c,d,...) d
#define VI2(name,size) vi name(size);rep(i_##name,size)input(name[i_##name]);
#define VI3(name,size,offset) vi name(size);rep(i_##name,size)input(name[i_##name]),name[i_##name]+=offset;
#define VI(...) overload3(__VA_ARGS__,VI3,VI2)(__VA_ARGS__)
#define VPI(name,size) vc<pi> name(size);rep(i_##name,size)input(name[i_##name]);
#define VVI(name,sizeN,sizeM) vvi name(sizeN,vi(sizeM));\
rep(i_##name,sizeN)rep(j_##name,sizeM)input(name[i_##name][j_##name]);
#define VVT(type,name,sizeN,sizeM) vvc<type> name(sizeN,vc<type>(sizeM));
template<int i,class T>
void print_tuple(ostream&,const T&){
}
template<int i,class T,class H,class ...Args>
void print_tuple(ostream&os,const T&t){
if(i)os<<",";
os<<get<i>(t);
print_tuple<i+1,T,Args...>(os,t);
}
template<class ...Args>
ostream& operator<<(ostream&os,const tuple<Args...>&t){
os<<"{";
print_tuple<0,tuple<Args...>,Args...>(os,t);
return os<<"}";
}
ll read(){
ll i;
cin>>i;
return i;
}
vi readvi(int n,int off=0){
vi v(n);
rep(i,n)v[i]=read()+off;
return v;
}
pi readpi(int off=0){
int a,b;cin>>a>>b;
return pi(a+off,b+off);
}
template<class t>
void print_single(t x,int suc=1){
cout<<x;
if(suc==1){
if(dbg)cout<<endl;
else cout<<"\n";
}
if(suc==2)
cout<<" ";
}
template<class t,class u>
void print_single(const pair<t,u>&p,int suc=1){
print_single(p.a,2);
print_single(p.b,suc);
}
template<class T>
void print_single(const vector<T>&v,int suc=1){
rep(i,v.size())
print_single(v[i],i==int(v.size())-1?suc:2);
}
template<class T>
void print_offset(const vector<T>&v,ll off,int suc=1){
rep(i,v.size())
print_single(v[i]+off,i==int(v.size())-1?suc:2);
}
template<class T,size_t N>
void print_single(const array<T,N>&v,int suc=1){
rep(i,N)
print_single(v[i],i==int(N)-1?suc:2);
}
template<class T>
void print(const T&t){
print_single(t);
}
template<class T,class ...Args>
void print(const T&t,const Args&...args){
print_single(t,2);
print(args...);
}
template<class T>
void printvv(const vvc<T>&vs){
for(const auto&row:vs)print(row);
}
string readString(){
string s;
cin>>s;
return s;
}
template<class T>
T sq(const T& t){
return t*t;
}
void YES(bool ex=true){
cout<<"YES\n";
if(ex)exit(0);
#ifdef LOCAL
cout.flush();
#endif
}
void NO(bool ex=true){
cout<<"NO\n";
if(ex)exit(0);
#ifdef LOCAL
cout.flush();
#endif
}
void Yes(bool ex=true){
cout<<"Yes\n";
if(ex)exit(0);
#ifdef LOCAL
cout.flush();
#endif
}
void No(bool ex=true){
cout<<"No\n";
if(ex)exit(0);
#ifdef LOCAL
cout.flush();
#endif
}
//#define CAPITAL
/*
void yes(bool ex=true){
#ifdef CAPITAL
cout<<"YES"<<"\n";
#else
cout<<"Yes"<<"\n";
#endif
if(ex)exit(0);
#ifdef LOCAL
cout.flush();
#endif
}
void no(bool ex=true){
#ifdef CAPITAL
cout<<"NO"<<"\n";
#else
cout<<"No"<<"\n";
#endif
if(ex)exit(0);
#ifdef LOCAL
cout.flush();
#endif
}*/
void possible(bool ex=true){
#ifdef CAPITAL
cout<<"POSSIBLE"<<"\n";
#else
cout<<"Possible"<<"\n";
#endif
if(ex)exit(0);
#ifdef LOCAL
cout.flush();
#endif
}
void impossible(bool ex=true){
#ifdef CAPITAL
cout<<"IMPOSSIBLE"<<"\n";
#else
cout<<"Impossible"<<"\n";
#endif
if(ex)exit(0);
#ifdef LOCAL
cout.flush();
#endif
}
constexpr ll ten(int n){
return n==0?1:ten(n-1)*10;
}
const ll infLL=LLONG_MAX/3;
#ifdef int
const int inf=infLL;
#else
const int inf=INT_MAX/2-100;
#endif
int topbit(signed t){
return t==0?-1:31-__builtin_clz(t);
}
int topbit(ll t){
return t==0?-1:63-__builtin_clzll(t);
}
int topbit(ull t){
return t==0?-1:63-__builtin_clzll(t);
}
int botbit(signed a){
return a==0?32:__builtin_ctz(a);
}
int botbit(ll a){
return a==0?64:__builtin_ctzll(a);
}
int botbit(ull a){
return a==0?64:__builtin_ctzll(a);
}
int popcount(signed t){
return __builtin_popcount(t);
}
int popcount(ll t){
return __builtin_popcountll(t);
}
int popcount(ull t){
return __builtin_popcountll(t);
}
int bitparity(ll t){
return __builtin_parityll(t);
}
bool ispow2(int i){
return i&&(i&-i)==i;
}
ll mask(int i){
return (ll(1)<<i)-1;
}
ull umask(int i){
return (ull(1)<<i)-1;
}
ll minp2(ll n){
if(n<=1)return 1;
else return ll(1)<<(topbit(n-1)+1);
}
bool inc(int a,int b,int c){
return a<=b&&b<=c;
}
template<class S> void mkuni(S&v){
sort(all(v));
v.erase(unique(all(v)),v.ed);
}
template<class t> bool isuni(vc<t> v){
int s=si(v);
mkuni(v);
return si(v)==s;
}
template<class t>
void myshuffle(vc<t>&a){
rep(i,si(a))swap(a[i],a[rand_int(0,i)]);
}
template<class S,class u>
int lwb(const S&v,const u&a){
return lower_bound(all(v),a)-v.bg;
}
template<class t,class u>
bool bis(const vc<t>&v,const u&a){
return binary_search(all(v),a);
}
//VERIFY: yosupo
//KUPC2017J
//AOJDSL1A
//without rank
struct unionfind{
vi p,s;
int c;
unionfind(int n):p(n,-1),s(n,1),c(n){}
void clear(){
fill(all(p),-1);
fill(all(s),1);
c=si(p);
}
int find(int a){
return p[a]==-1?a:(p[a]=find(p[a]));
}
//set b to a child of a
bool unite(int a,int b){
a=find(a);
b=find(b);
if(a==b)return false;
p[b]=a;
s[a]+=s[b];
c--;
return true;
}
bool same(int a,int b){
return find(a)==find(b);
}
int sz(int a){
return s[find(a)];
}
};
vvc<int> readGraph(int n,int m){
vvc<int> g(n);
rep(i,m){
int a,b;
cin>>a>>b;
//sc.read(a,b);
a--;b--;
g[a].pb(b);
g[b].pb(a);
}
return g;
}
vvc<int> readTree(int n){
if(dbg){
vvc<int> t(n);
unionfind uf(n);
while(uf.c>1){
int a=rand_int(n);
int b=rand_int(n);
if(uf.unite(a,b)){
t[a].pb(b);
t[b].pb(a);
}
}
return t;
}else{
return readGraph(n,n-1);
}
}
void printTree(const vvc<int> t){
int n=si(t);
int degsum=0;
rep(i,n)degsum+=si(t[i]);
if(degsum==n-1){
//directed
rep(i,si(t))for(auto j:t[i]){
print(i+1,j+1);
}
}else if(degsum==2*(n-1)){
//undirected
rep(i,si(t))for(auto j:t[i])if(i<j){
print(i+1,j+1);
}
}else{
assert(false);
}
}
template<class t>
vc<t> presum(const vc<t>&a){
vc<t> s(si(a)+1);
rep(i,si(a))s[i+1]=s[i]+a[i];
return s;
}
vc<ll> presum(const vi&a){
vc<ll> s(si(a)+1);
rep(i,si(a))s[i+1]=s[i]+a[i];
return s;
}
//BIT で数列を管理するときに使う (CF850C)
template<class t>
vc<t> predif(vc<t> a){
gnr(i,1,si(a))a[i]-=a[i-1];
return a;
}
template<class t>
vvc<ll> imos(const vvc<t>&a){
int n=si(a),m=si(a[0]);
vvc<ll> b(n+1,vc<ll>(m+1));
rep(i,n)rep(j,m)
b[i+1][j+1]=b[i+1][j]+b[i][j+1]-b[i][j]+a[i][j];
return b;
}
//verify してないや
void transvvc(int&n,int&m){
swap(n,m);
}
template<class t,class... Args>
void transvvc(int&n,int&m,vvc<t>&a,Args&...args){
assert(si(a)==n);
vvc<t> b(m,vi(n));
rep(i,n){
assert(si(a[i])==m);
rep(j,m)b[j][i]=a[i][j];
}
a.swap(b);
transvvc(n,m,args...);
}
//CF854E
void rotvvc(int&n,int&m){
swap(n,m);
}
template<class t,class... Args>
void rotvvc(int&n,int&m,vvc<t>&a,Args&...args){
assert(si(a)==n);
vvc<t> b(m,vi(n));
rep(i,n){
assert(si(a[i])==m);
rep(j,m)b[m-1-j][i]=a[i][j];
}
a.swap(b);
rotvvc(n,m,args...);
}
//ソートして i 番目が idx[i]
//CF850C
template<class t>
vi sortidx(const vc<t>&a){
int n=si(a);
vi idx(n);iota(all(idx),0);
sort(all(idx),[&](int i,int j){return a[i]<a[j];});
return idx;
}
//vs[i]=a[idx[i]]
//例えば sortidx で得た idx を使えば単にソート列になって返ってくる
//CF850C
template<class t>
vc<t> a_idx(const vc<t>&a,const vi&idx){
int n=si(a);
assert(si(idx)==n);
vc<t> vs(n);
rep(i,n)vs[i]=a[idx[i]];
return vs;
}
//CF850C
vi invperm(const vi&p){
int n=si(p);
vi q(n);
rep(i,n)q[p[i]]=i;
return q;
}
template<class t,class s=t>
s SUM(const vc<t>&a){
return accumulate(all(a),s(0));
}
template<class t,size_t K,class s=t>
s SUM(const array<t,K>&a){
return accumulate(all(a),s(0));
}
template<class t>
t MAX(const vc<t>&a){
return *max_element(all(a));
}
template<class t>
pair<t,int> MAXi(const vc<t>&a){
auto itr=max_element(all(a));
return mp(*itr,itr-a.bg);
}
template<class A>
auto MIN(const A&a){
return *min_element(all(a));
}
template<class t>
pair<t,int> MINi(const vc<t>&a){
auto itr=min_element(all(a));
return mp(*itr,itr-a.bg);
}
vi vid(int n){
vi res(n);iota(all(res),0);
return res;
}
template<class S>
void soin(S&s){
sort(all(s));
}
template<class S,class F>
void soin(S&s,F&&f){
sort(all(s),forward<F>(f));
}
template<class S>
S soout(S s){
soin(s);
return s;
}
template<class S>
void rein(S&s){
reverse(all(s));
}
template<class S>
S reout(S s){
rein(s);
return s;
}
template<class t,class u>
pair<t,u>&operator+=(pair<t,u>&a,pair<t,u> b){
a.a+=b.a;a.b+=b.b;return a;}
template<class t,class u>
pair<t,u>&operator-=(pair<t,u>&a,pair<t,u> b){
a.a-=b.a;a.b-=b.b;return a;}
template<class t,class u>
pair<t,u> operator+(pair<t,u> a,pair<t,u> b){return mp(a.a+b.a,a.b+b.b);}
template<class t,class u>
pair<t,u> operator-(pair<t,u> a,pair<t,u> b){return mp(a.a-b.a,a.b-b.b);}
template<class t,class u,class v>
pair<t,u>&operator*=(pair<t,u>&a,v b){
a.a*=b;a.b*=b;return a;}
template<class t,class u,class v>
pair<t,u> operator*(pair<t,u> a,v b){return a*=b;}
template<class t,class u>
pair<t,u> operator-(pair<t,u> a){return mp(-a.a,-a.b);}
namespace std{
template<class t,class u>
istream&operator>>(istream&is,pair<t,u>&a){
return is>>a.a>>a.b;
}
}
template<class t>
t gpp(vc<t>&vs){
assert(si(vs));
t res=move(vs.back());
vs.pop_back();
return res;
}
template<class t,class u>
void pb(vc<t>&a,const vc<u>&b){
a.insert(a.ed,all(b));
}
template<class t,class...Args>
vc<t> cat(vc<t> a,Args&&...b){
(pb(a,forward<Args>(b)),...);
return a;
}
template<class t,class u>
vc<t>& operator+=(vc<t>&a,u x){
for(auto&v:a)v+=x;
return a;
}
template<class t,class u>
vc<t> operator+(vc<t> a,u x){
return a+=x;
}
template<class t>
vc<t> operator+(const vc<t>&a,const vc<t>&b){
vc<t> c(max(si(a),si(b)));
rep(i,si(a))c[i]+=a[i];
rep(i,si(b))c[i]+=b[i];
return c;
}
template<class t,class u>
vc<t>& operator-=(vc<t>&a,u x){
for(auto&v:a)v-=x;
return a;
}
template<class t,class u>
vc<t>& operator-(vc<t> a,u x){
return a-=x;
}
template<class t,class u>
vc<t>& operator*=(vc<t>&a,u x){
for(auto&v:a)v*=x;
return a;
}
template<class t,class u>
vc<t>& operator*(vc<t> a,u x){
return a*=x;
}
template<class t,class u>
void remval(vc<t>&a,const u&v){
a.erase(remove(all(a),v),a.ed);
}
//消した要素の個数を返してくれる
//UCUP 2-8-F
template<class t,class F>
int remif(vc<t>&a,F f){
auto itr=remove_if(all(a),f);
int res=a.ed-itr;
a.erase(itr,a.ed);
return res;
}
template<class VS,class u>
void fila(VS&vs,const u&a){
fill(all(vs),a);
}
template<class t,class u>
int findid(const vc<t>&vs,const u&a){
auto itr=find(all(vs),a);
if(itr==vs.ed)return -1;
else return itr-vs.bg;
}
template<class t>
void rtt(vc<t>&vs,int i){
rotate(vs.bg,vs.bg+i,vs.ed);
}
//Multiuni2023-8 C
//f(lw)=false,...,f(n-1)=false,f(n)=true,...,f(up)=true,
//のときに n を返す
template<class F>
int find_min_true(int lw,int up,F f){
while(up-lw>1){
const int mid=(lw+up)/2;
if(f(mid))up=mid;
else lw=mid;
}
return up;
}
//f(lw)=true,f(up)=false
template<class F>
int find_max_true(int lw,int up,F f){
while(up-lw>1){
const int mid=(lw+up)/2;
if(f(mid))lw=mid;
else up=mid;
}
return lw;
}
template<class t> using pqmin=priority_queue<t,vc<t>,greater<t>>;
template<class t> using pqmax=priority_queue<t>;
using T=tuple<int,int,int>;
int brute(const string &S) {
const int N = S.size();
vector<int> dp(1 << (2*N+1), -1);
dp[0] = 0;
for (int p = 0; p < 1 << (2*N+1); ++p) if (~dp[p]) {
// bot i+0.5
for (int i = 0; i < N; ++i) if (!(p & 1 << (2*i+1))) {
if (S[i] == '?' || S[i] == '<') {
for (int j = i; ; --j) {
assert(j >= 0);
if (!(p & 1 << (2*j))) {
chmax(dp[p | 1 << (2*i+1) | 1 << (2*j)], dp[p] + ((j != i) ? 1 : 0));
break;
}
}
}
if (S[i] == '?' || S[i] == '>') {
for (int j = i + 1; ; ++j) {
assert(j <= N);
if (!(p & 1 << (2*j))) {
chmax(dp[p | 1 << (2*i+1) | 1 << (2*j)], dp[p] + ((j != i+1) ? 1 : 0));
break;
}
}
}
}
}
return *max_element(dp.begin(), dp.end());
}
const int nmax=5010;
int dp[2][3][nmax][2];
int eq[nmax];
void slv(){
STR(s);
int n=si(s);
vi a(n);
rep(i,n){
if(s[i]=='>'){
a[i]=0;
}else if(s[i]=='<'){
a[i]=1;
}else{
a[i]=-1;
}
}
int cur=0,mx=1;
rep(v,3)rep(j,mx+1)rep(k,2)dp[cur][v][j][k]=-inf;
rep(i,n+1)eq[i]=-inf;
eq[0]=0;
rep(i,n){
int nx=cur^1;
rep(j,mx+2)rep(v,3)rep(k,2){
dp[nx][v][j][k]=-inf;
}
chmax(dp[cur][0][0][0],eq[i]);
chmax(dp[cur][1][0][0],eq[i]);
chmax(dp[cur][2][1][0],eq[i]);
rep(j,mx+1){
if(a[i]!=1){
//up
rep(v,3)rep(k,2)chmax(dp[nx][v][j+1][0],dp[cur][v][j][k]+1);
}
if(j>0&&a[i]!=0){
//down
rep(v,3)rep(k,2)chmax(dp[nx][v][j-1][1],dp[cur][v][j][k]+(k==1));
}
rep(v,3)rep(k,2)chmax(dp[nx][v][j][k],dp[cur][v][j][k]);
}
chmax(eq[i+1],eq[i]);
chmax(eq[i+1],dp[nx][0][0][1]);
chmax(eq[i+1],dp[nx][1][1][1]);
chmax(eq[i+1],dp[nx][2][0][1]);
mx++;
cur=nx;
}
print(eq[n]);
}
signed main(signed argc,char*argv[]){
if(argc>1&&strcmp(argv[1],"D")==0)dbg=true;
cin.tie(0);
ios::sync_with_stdio(0);
cout<<fixed<<setprecision(20);
if(dbg){
while(1){
if(current_run_id%run_batch_size==0){
cerr<<"Current Run "<<current_run_id<<endl;
}
slv();
current_run_id++;
}
}else{
int t;cin>>t;rep(_,t)
slv();
}
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3624kb
input:
10 ?>? >?< ??<? ?><?< ?????? >?<?<>?<?< ?><???><>< ??>>><><?? <>>?>>?>?> <?<>>??<?>
output:
2 2 3 4 5 8 7 8 5 6
result:
ok 10 numbers
Test #2:
score: -100
Wrong Answer
time: 74ms
memory: 3892kb
input:
100000 >?<?<>?<?< ?><???><>< ??>>><><?? <>>?>>?>?> <?<>>??<?> >><>><<<<< >?>?>?<<>> ?><?<<?<>< ???><>?>?> <??>?<<><? ??>><?<>>> <><><?<>>? ?>>?>???>< ?<?><?<<>? >>><?<??>< ><><<>?>?< >?><>><<<? >??>?><?<> ?????<><?> <><<?<<>?< ><?>>?>?>? ?><><<<>>? ?<>?<>?<<< <><<<<<>>> ?>?>?><<>> <>?<>><>?< <<<?<>>...
output:
8 7 8 5 6 8 6 7 6 7 6 6 8 7 8 7 8 7 7 6 6 7 7 2 6 6 3 9 6 5 5 7 5 8 7 6 8 7 7 6 6 7 4 2 7 6 8 7 8 6 6 5 7 8 8 8 8 7 5 6 7 7 6 8 7 6 8 6 7 8 7 7 6 8 5 7 6 6 5 5 7 7 6 4 8 6 6 7 5 7 6 7 7 8 3 8 8 7 8 7 7 4 8 8 7 5 8 7 7 8 8 7 5 7 7 5 7 6 5 8 8 7 7 8 6 7 8 6 6 8 7 8 7 6 6 5 7 8 6 8 6 7 5 7 4 6 6 7 7 7 ...
result:
wrong answer 30th numbers differ - expected: '6', found: '5'