結果

問題 No.1990 Candy Boxes
ユーザー riano
提出日時 2022-05-12 21:07:09
言語 C++14
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 30 ms / 2,000 ms
コード長 11,251 bytes
コンパイル時間 2,358 ms
コンパイル使用メモリ 192,692 KB
実行使用メモリ 8,320 KB
最終ジャッジ日時 2024-11-20 15:25:54
合計ジャッジ時間 5,603 ms
ジャッジサーバーID
(参考情報)
judge2 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 5
other AC * 71
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define rep(i,n) for(int i=0;i<n;i++)
#define rrep(i,n) for(int i=n-1;i>=0;i--)
#define rrep2(i,n,k) for(int i=n-1;i>=n-k;i--)
#define vll(n,i) vector<long long>(n,i)
#define v2ll(n,m,i) vector<vector<long long>>(n,vll(m,i))
#define v3ll(n,m,k,i) vector<vector<vector<long long>>>(n,v2ll(m,k,i))
#define v4ll(n,m,k,l,i) vector<vector<vector<vector<long long>>>>(n,v3ll(m,k,l,i))
#define all(v) v.begin(),v.end()
#define chmin(k,m) k = min(k,m)
#define chmax(k,m) k = max(k,m)
#define Pr pair<ll,ll>
#define Tp tuple<ll,ll,ll>
#define riano_ std::ios::sync_with_stdio(false);std::cin.tie(nullptr)
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math")
//Graph
struct graph {
long long N;
vector<vector<tuple<long long,long long,int>>> G;
vector<long long> par_v;
vector<long long> par_e;
int edge_count = 0;
graph(long long n) {
N = n;
G = vector<vector<tuple<long long,long long,int>>>(N);
par_v = vector<long long>(N,-1);
par_e = vector<long long>(N,-1);
}
void unite(long long a,long long b,long long cost = 1,bool directed = false){
G[a].emplace_back(b,cost,edge_count);
if(!directed) G[b].emplace_back(a,cost,edge_count);
edge_count++;
}
};
//map add
template <typename T>
void add(map<T,ll> &cnt,T a,ll n = 1){
if(cnt.count(a)) cnt[a] += n;
else cnt[a] = n;
}
const ll mod = 998244353;
template<uint64_t mod>
struct modint{
uint64_t val;
constexpr modint(const int64_t val_=0) noexcept:val((val_%int64_t(mod)+int64_t(mod))%int64_t(mod)){}
constexpr modint operator-() const noexcept{
return modint(*this)=mod-val;
}
constexpr modint operator+(const modint rhs) const noexcept{
return modint(*this)+=rhs;
}
constexpr modint operator-(const modint rhs) const noexcept{
return modint(*this)-=rhs;
}
constexpr modint operator*(const modint rhs) const noexcept{
return modint(*this)*=rhs;
}
constexpr modint operator/(const modint rhs) const noexcept{
return modint(*this)/=rhs;
}
constexpr modint &operator+=(const modint rhs) noexcept{
val+=rhs.val;
val-=((val>=mod)?mod:0);
return (*this);
}
constexpr modint &operator-=(const modint rhs) noexcept{
val+=((val<rhs.val)?mod:0);
val-=rhs.val;
return (*this);
}
constexpr modint &operator*=(const modint rhs) noexcept{
val=val*rhs.val%mod;
return (*this);
}
constexpr modint &operator/=(modint rhs) noexcept{
uint64_t ex=mod-2;
modint now=1;
while(ex){
now*=((ex&1)?rhs:1);
rhs*=rhs,ex>>=1;
}
return (*this)*=now;
}
modint & operator++(){
val++;
if (val == mod) val = 0;
return *this;
}
modint operator++(int){
modint<mod> res = *this;
++*this;
return res;
}
constexpr bool operator==(const modint rhs) noexcept{
return val==rhs.val;
}
constexpr bool operator!=(const modint rhs) noexcept{
return val!=rhs.val;
}
friend constexpr ostream &operator<<(ostream& os,const modint x) noexcept{
return os<<(x.val);
}
friend constexpr istream &operator>>(istream& is,modint& x) noexcept{
uint64_t t;
is>>t,x=t;
return is;
}
};
typedef modint<mod> mint;
mint pw(long long a,long long b,long long m = mod){
if(a%m==0) return mint(0);
if(b==0) return mint(1);
else if(b%2==0){
long long x = pw(a,b/2,m).val;
return mint(x*x);
}
else{
long long x = pw(a,b-1,m).val;
return mint(a*x);
}
}
mint modinv(long long a, long long m = mod) {
long long b = m, u = 1, v = 0;
while (b) {
long long t = a / b;
a -= t * b; swap(a, b);
u -= t * v; swap(u, v);
}
u %= m;
return mint(u);
}
#define vm(n,i) vector<mint>(n,i)
#define v2m(n,m,i) vector<vector<mint>>(n,vm(m,i))
#define v3m(n,m,k,i) vector<vector<vector<mint>>>(n,v2m(m,k,i))
#define v4m(n,m,k,l,i) vector<vector<vector<vector<mint>>>>(n,v3m(m,k,l,i))
void out(vector<ll> &v){
for(ll x:v) cout << x << " ";
cout << "\n"; return;
}
//convolution
template< int mod >
struct ModInt {
int x;
ModInt() : x(0) {}
ModInt(int64_t y) : x(y >= 0 ? y % mod : (mod - (-y) % mod) % mod) {}
ModInt &operator+=(const ModInt &p) {
if((x += p.x) >= mod) x -= mod;
return *this;
}
ModInt &operator-=(const ModInt &p) {
if((x += mod - p.x) >= mod) x -= mod;
return *this;
}
ModInt &operator*=(const ModInt &p) {
x = (int) (1LL * x * p.x % mod);
return *this;
}
ModInt &operator/=(const ModInt &p) {
*this *= p.inverse();
return *this;
}
ModInt operator-() const { return ModInt(-x); }
ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; }
ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; }
ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; }
ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; }
bool operator==(const ModInt &p) const { return x == p.x; }
bool operator!=(const ModInt &p) const { return x != p.x; }
ModInt inverse() const {
int a = x, b = mod, u = 1, v = 0, t;
while(b > 0) {
t = a / b;
swap(a -= t * b, b);
swap(u -= t * v, v);
}
return ModInt(u);
}
ModInt pow(int64_t n) const {
ModInt ret(1), mul(x);
while(n > 0) {
if(n & 1) ret *= mul;
mul *= mul;
n >>= 1;
}
return ret;
}
friend ostream &operator<<(ostream &os, const ModInt &p) {
return os << p.x;
}
friend istream &operator>>(istream &is, ModInt &a) {
int64_t t;
is >> t;
a = ModInt< mod >(t);
return (is);
}
static int get_mod() { return mod; }
};
using mint_ = ModInt< mod >;
namespace FastFourierTransform {
using real = double;
struct C {
real x, y;
C() : x(0), y(0) {}
C(real x, real y) : x(x), y(y) {}
inline C operator+(const C &c) const { return C(x + c.x, y + c.y); }
inline C operator-(const C &c) const { return C(x - c.x, y - c.y); }
inline C operator*(const C &c) const { return C(x * c.x - y * c.y, x * c.y + y * c.x); }
inline C conj() const { return C(x, -y); }
};
const real PI = acosl(-1);
int base = 1;
vector< C > rts = { {0, 0},
{1, 0} };
vector< int > rev = {0, 1};
void ensure_base(int nbase) {
if(nbase <= base) return;
rev.resize(1 << nbase);
rts.resize(1 << nbase);
for(int i = 0; i < (1 << nbase); i++) {
rev[i] = (rev[i >> 1] >> 1) + ((i & 1) << (nbase - 1));
}
while(base < nbase) {
real angle = PI * 2.0 / (1 << (base + 1));
for(int i = 1 << (base - 1); i < (1 << base); i++) {
rts[i << 1] = rts[i];
real angle_i = angle * (2 * i + 1 - (1 << base));
rts[(i << 1) + 1] = C(cos(angle_i), sin(angle_i));
}
++base;
}
}
void fft(vector< C > &a, int n) {
assert((n & (n - 1)) == 0);
int zeros = __builtin_ctz(n);
ensure_base(zeros);
int shift = base - zeros;
for(int i = 0; i < n; i++) {
if(i < (rev[i] >> shift)) {
swap(a[i], a[rev[i] >> shift]);
}
}
for(int k = 1; k < n; k <<= 1) {
for(int i = 0; i < n; i += 2 * k) {
for(int j = 0; j < k; j++) {
C z = a[i + j + k] * rts[j + k];
a[i + j + k] = a[i + j] - z;
a[i + j] = a[i + j] + z;
}
}
}
}
vector< int64_t > multiply(const vector< int > &a, const vector< int > &b) {
int need = (int) a.size() + (int) b.size() - 1;
int nbase = 1;
while((1 << nbase) < need) nbase++;
ensure_base(nbase);
int sz = 1 << nbase;
vector< C > fa(sz);
for(int i = 0; i < sz; i++) {
int x = (i < (int) a.size() ? a[i] : 0);
int y = (i < (int) b.size() ? b[i] : 0);
fa[i] = C(x, y);
}
fft(fa, sz);
C r(0, -0.25 / (sz >> 1)), s(0, 1), t(0.5, 0);
for(int i = 0; i <= (sz >> 1); i++) {
int j = (sz - i) & (sz - 1);
C z = (fa[j] * fa[j] - (fa[i] * fa[i]).conj()) * r;
fa[j] = (fa[i] * fa[i] - (fa[j] * fa[j]).conj()) * r;
fa[i] = z;
}
for(int i = 0; i < (sz >> 1); i++) {
C A0 = (fa[i] + fa[i + (sz >> 1)]) * t;
C A1 = (fa[i] - fa[i + (sz >> 1)]) * t * rts[(sz >> 1) + i];
fa[i] = A0 + A1 * s;
}
fft(fa, sz >> 1);
vector< int64_t > ret(need);
for(int i = 0; i < need; i++) {
ret[i] = llround(i & 1 ? fa[i >> 1].y : fa[i >> 1].x);
}
return ret;
}
};
template< typename T >
struct ArbitraryModConvolution {
using real = FastFourierTransform::real;
using C = FastFourierTransform::C;
ArbitraryModConvolution() = default;
vector< T > multiply(const vector< T > &a, const vector< T > &b, int need = -1) {
if(need == -1) need = a.size() + b.size() - 1;
int nbase = 0;
while((1 << nbase) < need) nbase++;
FastFourierTransform::ensure_base(nbase);
int sz = 1 << nbase;
vector< C > fa(sz);
for(int i = 0; i < a.size(); i++) {
fa[i] = C(a[i].x & ((1 << 15) - 1), a[i].x >> 15);
}
fft(fa, sz);
vector< C > fb(sz);
if(a == b) {
fb = fa;
} else {
for(int i = 0; i < b.size(); i++) {
fb[i] = C(b[i].x & ((1 << 15) - 1), b[i].x >> 15);
}
fft(fb, sz);
}
real ratio = 0.25 / sz;
C r2(0, -1), r3(ratio, 0), r4(0, -ratio), r5(0, 1);
for(int i = 0; i <= (sz >> 1); i++) {
int j = (sz - i) & (sz - 1);
C a1 = (fa[i] + fa[j].conj());
C a2 = (fa[i] - fa[j].conj()) * r2;
C b1 = (fb[i] + fb[j].conj()) * r3;
C b2 = (fb[i] - fb[j].conj()) * r4;
if(i != j) {
C c1 = (fa[j] + fa[i].conj());
C c2 = (fa[j] - fa[i].conj()) * r2;
C d1 = (fb[j] + fb[i].conj()) * r3;
C d2 = (fb[j] - fb[i].conj()) * r4;
fa[i] = c1 * d1 + c2 * d2 * r5;
fb[i] = c1 * d2 + c2 * d1;
}
fa[j] = a1 * b1 + a2 * b2 * r5;
fb[j] = a1 * b2 + a2 * b1;
}
fft(fa, sz);
fft(fb, sz);
vector< T > ret(need);
for(int i = 0; i < need; i++) {
int64_t aa = llround(fa[i].x);
int64_t bb = llround(fb[i].x);
int64_t cc = llround(fa[i].y);
aa = T(aa).x, bb = T(bb).x, cc = T(cc).x;
ret[i] = aa + (bb << 15) + (cc << 30);
}
return ret;
}
};
int main(){
riano_; string ans = "Yes";
ll N,M,K,H,W,Q,L,R,T; cin >> N;
vector<ll> b(N+2,0);
rep(i,N) cin >> b[i+1];
vector<ll> op(N+1,0);
stack<ll> s; ll last = -1; s.push(-1);
vector<ll> req(N+2,0);
rep(i,N+1){
if((b[i]+b[i+1])%2==1){
if(last!=-1&&(i+1+last)%2==0){
s.pop(); last = s.top(); req[i+1]--;
}
else{
last = i+1; s.push(last); req[i+1]++;
}
}
}
rep(i,N+1){
req[i+1] += req[i];
}
rep(i,N+2){
b[i] -= req[i];
}
rep(i,N){
op[i+1] = b[i+1] - op[i];
if(op[i+1]<0) ans = "No";
}
if(op[N]!=0) ans = "No";
cout << ans << endl;
}
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