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/*
/*
Compete against Yourself.
Compete against Yourself.
Author - Aryan (@aryanc403)
Author - Aryan (@aryanc403)
*/
*/
/*
/*
Credits -
Credits -
Atcoder library - https://atcoder.github.io/ac-library/production/document_en/ (namespace atcoder)
Atcoder library - https://atcoder.github.io/ac-library/production/document_en/ (namespace atcoder)
Github source code of library - https://github.com/atcoder/ac-library/tree/master/atcoder
Github source code of library - https://github.com/atcoder/ac-library/tree/master/atcoder
https://codeforces.com/contest/4/submission/150120627
https://codeforces.com/contest/4/submission/150120627
*/
*/
#include <algorithm>
#include <algorithm>
#include <cassert>
#include <cassert>
#include <functional>
#include <functional>
#include <vector>
#include <vector>
#ifdef _MSC_VER
#ifdef _MSC_VER
#include <intrin.h>
#include <intrin.h>
#endif
#endif
#if __cplusplus >= 202002L
#if __cplusplus >= 202002L
#include <bit>
#include <bit>
#endif
#endif
namespace atcoder {
namespace atcoder {
namespace internal {
namespace internal {
#if __cplusplus >= 202002L
#if __cplusplus >= 202002L
using std::bit_ceil;
using std::bit_ceil;
#else
#else
unsigned int bit_ceil(unsigned int n) {
unsigned int bit_ceil(unsigned int n) {
unsigned int x = 1;
unsigned int x = 1;
while (x < (unsigned int)(n)) x *= 2;
while (x < (unsigned int)(n)) x *= 2;
return x;
return x;
}
}
#endif
#endif
int countr_zero(unsigned int n) {
int countr_zero(unsigned int n) {
#ifdef _MSC_VER
#ifdef _MSC_VER
unsigned long index;
unsigned long index;
_BitScanForward(&index, n);
_BitScanForward(&index, n);
return index;
return index;
#else
#else
return __builtin_ctz(n);
return __builtin_ctz(n);
#endif
#endif
}
}
constexpr int countr_zero_constexpr(unsigned int n) {
constexpr int countr_zero_constexpr(unsigned int n) {
int x = 0;
int x = 0;
while (!(n & (1 << x))) x++;
while (!(n & (1 << x))) x++;
return x;
return x;
}
}
} // namespace internal
} // namespace internal
} // namespace atcoder
} // namespace atcoder
namespace atcoder {
namespace atcoder {
#if __cplusplus >= 201703L
#if __cplusplus >= 201703L
template <class S, auto op, auto e> struct segtree {
template <class S, auto op, auto e> struct segtree {
static_assert(std::is_convertible_v<decltype(op), std::function<S(S, S)>>,
static_assert(std::is_convertible_v<decltype(op), std::function<S(S, S)>>,
"op must work as S(S, S)");
"op must work as S(S, S)");
static_assert(std::is_convertible_v<decltype(e), std::function<S()>>,
static_assert(std::is_convertible_v<decltype(e), std::function<S()>>,
"e must work as S()");
"e must work as S()");
#else
#else
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
template <class S, S (*op)(S, S), S (*e)()> struct segtree {
#endif
#endif
public:
public:
segtree() : segtree(0) {}
segtree() : segtree(0) {}
explicit segtree(int n) : segtree(std::vector<S>(n, e())) {}
explicit segtree(int n) : segtree(std::vector<S>(n, e())) {}
explicit segtree(const std::vector<S>& v) : _n(int(v.size())) {
explicit segtree(const std::vector<S>& v) : _n(int(v.size())) {
size = (int)internal::bit_ceil((unsigned int)(_n));
size = (int)internal::bit_ceil((unsigned int)(_n));
log = internal::countr_zero((unsigned int)size);
log = internal::countr_zero((unsigned int)size);
d = std::vector<S>(2 * size, e());
d = std::vector<S>(2 * size, e());
for (int i = 0; i < _n; i++) d[size + i] = v[i];
for (int i = 0; i < _n; i++) d[size + i] = v[i];
for (int i = size - 1; i >= 1; i--) {
for (int i = size - 1; i >= 1; i--) {
update(i);
update(i);
}
}
}
}
void set(int p, S x) {
void set(int p, S x) {
assert(0 <= p && p < _n);
assert(0 <= p && p < _n);
p += size;
p += size;
d[p] = x;
d[p] = x;
for (int i = 1; i <= log; i++) update(p >> i);
for (int i = 1; i <= log; i++) update(p >> i);
}
}
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/* Compete against Yourself. Author - Aryan (@aryanc403) */ /* Credits - Atcoder library - https://atcoder.github.io/ac-library/production/document_en/ (namespace atcoder) Github source code of library - https://github.com/atcoder/ac-library/tree/master/atcoder https://codeforces.com/contest/4/submission/150120627 */ #include <algorithm> #include <cassert> #include <functional> #include <vector> #ifdef _MSC_VER #include <intrin.h> #endif #if __cplusplus >= 202002L #include <bit> #endif namespace atcoder { namespace internal { #if __cplusplus >= 202002L using std::bit_ceil; #else unsigned int bit_ceil(unsigned int n) { unsigned int x = 1; while (x < (unsigned int)(n)) x *= 2; return x; } #endif int countr_zero(unsigned int n) { #ifdef _MSC_VER unsigned long index; _BitScanForward(&index, n); return index; #else return __builtin_ctz(n); #endif } constexpr int countr_zero_constexpr(unsigned int n) { int x = 0; while (!(n & (1 << x))) x++; return x; } } // namespace internal } // namespace atcoder namespace atcoder { #if __cplusplus >= 201703L template <class S, auto op, auto e> struct segtree { static_assert(std::is_convertible_v<decltype(op), std::function<S(S, S)>>, "op must work as S(S, S)"); static_assert(std::is_convertible_v<decltype(e), std::function<S()>>, "e must work as S()"); #else template <class S, S (*op)(S, S), S (*e)()> struct segtree { #endif public: segtree() : segtree(0) {} explicit segtree(int n) : segtree(std::vector<S>(n, e())) {} explicit segtree(const std::vector<S>& v) : _n(int(v.size())) { size = (int)internal::bit_ceil((unsigned int)(_n)); log = internal::countr_zero((unsigned int)size); d = std::vector<S>(2 * size, e()); for (int i = 0; i < _n; i++) d[size + i] = v[i]; for (int i = size - 1; i >= 1; i--) { update(i); } } void set(int p, S x) { assert(0 <= p && p < _n); p += size; d[p] = x; for (int i = 1; i <= log; i++) update(p >> i); } S get(int p) const { assert(0 <= p && p < _n); return d[p + size]; } S prod(int l, int r) const { assert(0 <= l && l <= r && r <= _n); S sml = e(), smr = e(); l += size; r += size; while (l < r) { if (l & 1) sml = op(sml, d[l++]); if (r & 1) smr = op(d[--r], smr); l >>= 1; r >>= 1; } return op(sml, smr); } S all_prod() const { return d[1]; } template <bool (*f)(S)> int max_right(int l) const { return max_right(l, [](S x) { return f(x); }); } template <class F> int max_right(int l, F f) const { assert(0 <= l && l <= _n); assert(f(e())); if (l == _n) return _n; l += size; S sm = e(); do { while (l % 2 == 0) l >>= 1; if (!f(op(sm, d[l]))) { while (l < size) { l = (2 * l); if (f(op(sm, d[l]))) { sm = op(sm, d[l]); l++; } } return l - size; } sm = op(sm, d[l]); l++; } while ((l & -l) != l); return _n; } template <bool (*f)(S)> int min_left(int r) const { return min_left(r, [](S x) { return f(x); }); } template <class F> int min_left(int r, F f) const { assert(0 <= r && r <= _n); assert(f(e())); if (r == 0) return 0; r += size; S sm = e(); do { r--; while (r > 1 && (r % 2)) r >>= 1; if (!f(op(d[r], sm))) { while (r < size) { r = (2 * r + 1); if (f(op(d[r], sm))) { sm = op(d[r], sm); r--; } } return r + 1 - size; } sm = op(d[r], sm); } while ((r & -r) != r); return 0; } private: int _n, size, log; std::vector<S> d; void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); } }; } // namespace atcoder #ifdef ARYANC403 #include <header.h> #else #pragma GCC optimize ("Ofast") // #pragma GCC target ("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx") #pragma GCC target ("sse,sse2,mmx") #pragma GCC optimize ("-ffloat-store") #include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #define dbg(args...) 42; #define endl "\n" #endif // y_combinator from @neal template https://codeforces.com/contest/1553/submission/123849801 // http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2016/p0200r0.html template<class Fun> class y_combinator_result { Fun fun_; public: template<class T> explicit y_combinator_result(T &&fun): fun_(std::forward<T>(fun)) {} template<class ...Args> decltype(auto) operator()(Args &&...args) { return fun_(std::ref(*this), std::forward<Args>(args)...); } }; template<class Fun> decltype(auto) y_combinator(Fun &&fun) { return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun)); } using namespace std; #define fo(i,n) for(i=0;i<(n);++i) #define repA(i,j,n) for(i=(j);i<=(n);++i) #define repD(i,j,n) for(i=(j);i>=(n);--i) #define all(x) begin(x), end(x) #define sz(x) ((lli)(x).size()) #define eb emplace_back #define X first #define Y second using lli = long long int; using mytype = long double; using ii = pair<lli,lli>; using vii = vector<ii>; using vi = vector<lli>; template <class T> using ordered_set = __gnu_pbds::tree<T,__gnu_pbds::null_type,less<T>,__gnu_pbds::rb_tree_tag,__gnu_pbds::tree_order_statistics_node_update>; // X.find_by_order(k) return kth element. 0 indexed. // X.order_of_key(k) returns count of elements strictly less than k. // namespace Re = std::ranges; // namespace Ve = std::ranges::views; const auto start_time = std::chrono::high_resolution_clock::now(); void aryanc403() { auto end_time = std::chrono::high_resolution_clock::now(); std::chrono::duration<double> diff = end_time-start_time; cerr<<"Time Taken : "<<diff.count()<<"\n"; } const lli INF = 0xFFFFFFFFFFFFFFFLL; const lli SEED=chrono::steady_clock::now().time_since_epoch().count(); mt19937_64 rng(SEED); inline lli rnd(lli l=0,lli r=INF) {return uniform_int_distribution<lli>(l,r)(rng);} class CMP {public: bool operator()(ii a , ii b) //For min priority_queue . { return ! ( a.X < b.X || ( a.X==b.X && a.Y <= b.Y )); }}; void add( map<lli,lli> &m, lli x,lli cnt=1) { auto jt=m.find(x); if(jt==m.end()) m.insert({x,cnt}); else jt->Y+=cnt; } void del( map<lli,lli> &m, lli x,lli cnt=1) { auto jt=m.find(x); if(jt->Y<=cnt) m.erase(jt); else jt->Y-=cnt; } bool cmp(const ii &a,const ii &b) { return a.X<b.X||(a.X==b.X&&a.Y<b.Y); } using S = array<lli,3>; S op(S a, S b) { return S{a[0]+b[0],a[1]+b[1],a[2]+b[2]}; } S e() { return S{0,0,0}; } int target; bool f(S v) { return v[1]<target; } int main(void) { ios_base::sync_with_stdio(false);cin.tie(NULL); // freopen("txt.in", "r", stdin); // freopen("txt.out", "w", stdout); // cout<<std::fixed<<std::setprecision(35); // Ve::iota(1, 6) | Ve::transform([](int x) { return x * 2; }) | Ve::reverse | Ve::take(3) lli T=1; cin>>T; while(T--) { lli n,K; cin>>n>>K; vii a(n); for(auto &x:a) cin>>x.X; for(auto &x:a) cin>>x.Y; lli ans = 0; const lli medIdx = (n-2)/2,bigCnt = (n-1)/2+1; vii cr={ii{-INF,-1},ii{INF,0}}; for(lli j=0;j<n;j++) cr.eb(ii{a[j].X,j}); sort(all(cr)); const lli M = sz(cr); atcoder::segtree<S, op, e> seg(M); ordered_set<ii> os; auto update=[&](const lli idx,const lli v)->void{ const lli ci = lower_bound(all(cr),ii{a[idx].X,idx})-cr.begin(); auto g = seg.get(ci); if(a[idx].Y){ g[0]+=a[idx].X*v; g[1]+=v; } else { g[2]+=v; } seg.set(ci,g); }; for(lli i=0;i<n;i++){ os.insert(ii{a[i].X,i}); update(i,1); } auto chk=[&](const lli K,const lli med)->bool{ const lli ci = lower_bound(all(cr),ii{med,-2})-cr.begin(); const auto pd = seg.prod(ci,M); const lli reqCnt = bigCnt - pd[1]-pd[2]; dbg(med,reqCnt); if(reqCnt<=0) return true; target=reqCnt+1; const lli lr = seg.min_left<f>(ci); const auto pd2 = seg.prod(lr,ci); dbg(pd2[1],pd2[0],cr[lr]); if(pd2[1]<reqCnt) return false; return pd2[1]*med-pd2[0]<=K; }; auto getMedian = [&](const lli K)->lli{ if(K==0) return os.find_by_order(medIdx)->X; lli l=0,r=INF; while(r-l>1){ const lli mid=(l+r)/2; if(chk(K,mid)) l=mid; else r=mid; } dbg(K,l,os); return l; }; for(lli i=0;i<n;i++){ os.erase(ii{a[i].X,i}); update(i,-1); if(a[i].Y==0) ans=max(ans,a[i].X+getMedian(K)); else ans=max(ans,a[i].X+K+getMedian(0)); os.insert(ii{a[i].X,i}); update(i,1); } cout<<ans<<endl; } aryanc403(); return 0; }
परिवर्तित टेक्स्ट
फ़ाइल खोलें
/* Compete against Yourself. Author - Aryan (@aryanc403) */ /* Credits - Atcoder library - https://atcoder.github.io/ac-library/production/document_en/ (namespace atcoder) Github source code of library - https://github.com/atcoder/ac-library/tree/master/atcoder https://codeforces.com/contest/4/submission/150120627 */ #include <algorithm> #include <cassert> #include <functional> #include <vector> #ifdef _MSC_VER #include <intrin.h> #endif #if __cplusplus >= 202002L #include <bit> #endif namespace atcoder { namespace internal { #if __cplusplus >= 202002L using std::bit_ceil; #else unsigned int bit_ceil(unsigned int n) { unsigned int x = 1; while (x < (unsigned int)(n)) x *= 2; return x; } #endif int countr_zero(unsigned int n) { #ifdef _MSC_VER unsigned long index; _BitScanForward(&index, n); return index; #else return __builtin_ctz(n); #endif } constexpr int countr_zero_constexpr(unsigned int n) { int x = 0; while (!(n & (1 << x))) x++; return x; } } // namespace internal } // namespace atcoder namespace atcoder { #if __cplusplus >= 201703L template <class S, auto op, auto e> struct segtree { static_assert(std::is_convertible_v<decltype(op), std::function<S(S, S)>>, "op must work as S(S, S)"); static_assert(std::is_convertible_v<decltype(e), std::function<S()>>, "e must work as S()"); #else template <class S, S (*op)(S, S), S (*e)()> struct segtree { #endif public: segtree() : segtree(0) {} explicit segtree(int n) : segtree(std::vector<S>(n, e())) {} explicit segtree(const std::vector<S>& v) : _n(int(v.size())) { size = (int)internal::bit_ceil((unsigned int)(_n)); log = internal::countr_zero((unsigned int)size); d = std::vector<S>(2 * size, e()); for (int i = 0; i < _n; i++) d[size + i] = v[i]; for (int i = size - 1; i >= 1; i--) { update(i); } } void set(int p, S x) { assert(0 <= p && p < _n); p += size; d[p] = x; for (int i = 1; i <= log; i++) update(p >> i); } S get(int p) const { assert(0 <= p && p < _n); return d[p + size]; } S prod(int l, int r) const { assert(0 <= l && l <= r && r <= _n); S sml = e(), smr = e(); l += size; r += size; while (l < r) { if (l & 1) sml = op(sml, d[l++]); if (r & 1) smr = op(d[--r], smr); l >>= 1; r >>= 1; } return op(sml, smr); } S all_prod() const { return d[1]; } template <bool (*f)(S)> int max_right(int l) const { return max_right(l, [](S x) { return f(x); }); } template <class F> int max_right(int l, F f) const { assert(0 <= l && l <= _n); assert(f(e())); if (l == _n) return _n; l += size; S sm = e(); do { while (l % 2 == 0) l >>= 1; if (!f(op(sm, d[l]))) { while (l < size) { l = (2 * l); if (f(op(sm, d[l]))) { sm = op(sm, d[l]); l++; } } return l - size; } sm = op(sm, d[l]); l++; } while ((l & -l) != l); return _n; } template <bool (*f)(S)> int min_left(int r) const { return min_left(r, [](S x) { return f(x); }); } template <class F> int min_left(int r, F f) const { assert(0 <= r && r <= _n); assert(f(e())); if (r == 0) return 0; r += size; S sm = e(); do { r--; while (r > 1 && (r % 2)) r >>= 1; if (!f(op(d[r], sm))) { while (r < size) { r = (2 * r + 1); if (f(op(d[r], sm))) { sm = op(d[r], sm); r--; } } return r + 1 - size; } sm = op(d[r], sm); } while ((r & -r) != r); return 0; } private: int _n, size, log; std::vector<S> d; void update(int k) { d[k] = op(d[2 * k], d[2 * k + 1]); } }; } // namespace atcoder #ifdef ARYANC403 #include <header.h> #else #pragma GCC optimize ("Ofast") // #pragma GCC target ("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx") #pragma GCC target ("sse,sse2,mmx") #pragma GCC optimize ("-ffloat-store") #include <bits/stdc++.h> #include <ext/pb_ds/assoc_container.hpp> #include <ext/pb_ds/tree_policy.hpp> #define dbg(args...) 42; #define endl "\n" #endif // y_combinator from @neal template https://codeforces.com/contest/1553/submission/123849801 // http://www.open-std.org/jtc1/sc22/wg21/docs/papers/2016/p0200r0.html template<class Fun> class y_combinator_result { Fun fun_; public: template<class T> explicit y_combinator_result(T &&fun): fun_(std::forward<T>(fun)) {} template<class ...Args> decltype(auto) operator()(Args &&...args) { return fun_(std::ref(*this), std::forward<Args>(args)...); } }; template<class Fun> decltype(auto) y_combinator(Fun &&fun) { return y_combinator_result<std::decay_t<Fun>>(std::forward<Fun>(fun)); } using namespace std; #define fo(i,n) for(i=0;i<(n);++i) #define repA(i,j,n) for(i=(j);i<=(n);++i) #define repD(i,j,n) for(i=(j);i>=(n);--i) #define all(x) begin(x), end(x) #define sz(x) ((lli)(x).size()) #define eb emplace_back #define X first #define Y second using lli = long long int; using mytype = long double; using ii = pair<lli,lli>; using vii = vector<ii>; using vi = vector<lli>; template <class T> using ordered_set = __gnu_pbds::tree<T,__gnu_pbds::null_type,less<T>,__gnu_pbds::rb_tree_tag,__gnu_pbds::tree_order_statistics_node_update>; // X.find_by_order(k) return kth element. 0 indexed. // X.order_of_key(k) returns count of elements strictly less than k. // namespace Re = std::ranges; // namespace Ve = std::ranges::views; const auto start_time = std::chrono::high_resolution_clock::now(); void aryanc403() { auto end_time = std::chrono::high_resolution_clock::now(); std::chrono::duration<double> diff = end_time-start_time; cerr<<"Time Taken : "<<diff.count()<<"\n"; } const lli INF = 0xFFFFFFFFFFFFFFFLL; const lli SEED=chrono::steady_clock::now().time_since_epoch().count(); mt19937_64 rng(SEED); inline lli rnd(lli l=0,lli r=INF) {return uniform_int_distribution<lli>(l,r)(rng);} class CMP {public: bool operator()(ii a , ii b) //For min priority_queue . { return ! ( a.X < b.X || ( a.X==b.X && a.Y <= b.Y )); }}; void add( map<lli,lli> &m, lli x,lli cnt=1) { auto jt=m.find(x); if(jt==m.end()) m.insert({x,cnt}); else jt->Y+=cnt; } void del( map<lli,lli> &m, lli x,lli cnt=1) { auto jt=m.find(x); if(jt->Y<=cnt) m.erase(jt); else jt->Y-=cnt; } bool cmp(const ii &a,const ii &b) { return a.X<b.X||(a.X==b.X&&a.Y<b.Y); } using S = array<lli,3>; S op(S a, S b) { return S{a[0]+b[0],a[1]+b[1],a[2]+b[2]}; } S e() { return S{0,0,0}; } int target; bool f(S v) { return v[1]<target; } int main(void) { ios_base::sync_with_stdio(false);cin.tie(NULL); // freopen("txt.in", "r", stdin); // freopen("txt.out", "w", stdout); // cout<<std::fixed<<std::setprecision(35); // Ve::iota(1, 6) | Ve::transform([](int x) { return x * 2; }) | Ve::reverse | Ve::take(3) lli T=1; cin>>T; while(T--) { lli n,K; cin>>n>>K; vii a(n); for(auto &x:a) cin>>x.X; for(auto &x:a) cin>>x.Y; lli ans = 0; const lli medIdx = (n-2)/2,bigCnt = (n-1)/2+1; vii cr={ii{-INF,-1},ii{INF,0}}; for(lli j=0;j<n;j++) cr.eb(ii{a[j].X,j}); sort(all(cr)); const lli M = sz(cr); atcoder::segtree<S, op, e> seg(M); ordered_set<ii> os; auto update=[&](const lli idx,const lli v)->void{ const lli ci = lower_bound(all(cr),ii{a[idx].X,idx})-cr.begin(); auto g = seg.get(ci); if(a[idx].Y){ g[0]+=a[idx].X*v; g[1]+=v; } else { g[2]+=v; } seg.set(ci,g); }; for(lli i=0;i<n;i++){ os.insert(ii{a[i].X,i}); update(i,1); } auto chk=[&](const lli K,const lli med)->bool{ const lli ci = lower_bound(all(cr),ii{med,-2})-cr.begin(); const auto pd = seg.prod(ci,M); const lli reqCnt = bigCnt - pd[1]-pd[2]; dbg(med,reqCnt); if(reqCnt<=0) return true; target=reqCnt+1; const lli lr = seg.min_left<f>(ci); const auto pd2 = seg.prod(lr,ci); dbg(pd2[1],pd2[0],cr[lr]); if(pd2[1]<reqCnt) return false; return pd2[1]*med-pd2[0]<=K; }; auto getMedian = [&](const lli K)->lli{ if(K==0) return os.find_by_order(medIdx)->X; lli l=0,r=4e9; while(r-l>1){ const lli mid=(l+r)/2; if(chk(K,mid)) l=mid; else r=mid; } dbg(K,l,os); return l; }; for(lli i=0;i<n;i++){ os.erase(ii{a[i].X,i}); update(i,-1); if(a[i].Y==0) ans=max(ans,a[i].X+getMedian(K)); else ans=max(ans,a[i].X+K+getMedian(0)); os.insert(ii{a[i].X,i}); update(i,1); } cout<<ans<<endl; } aryanc403(); return 0; }
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