#pragma GCC optimize("O3")
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ld long double
#define pb push_back
#define ff first
#define ss second
#define INF 1000000001LL
#define POT (1LL<<23)
#define INFL 1000000000000000099LL
#define pii pair<ll,ll>
#define ppi pair<pii,ll>
#define pip pair<ll,pii>
#define ppp pair<pii,pii>
#define vi vector<ll>
#define vii vector<pii>
#define vvi vector<vi>
#define al(x) x.begin(),x.end()
#define rev(x) reverse(al(x))
#define X 18
#define FCTCST 7
template<typename T, typename U>
pair<T, U> operator+(const pair<T, U>& a, const pair<T, U>& b) {
return {a.first + b.first, a.second + b.second};
}
template<typename T, typename U>
pair<T, U> operator-(const pair<T, U>& a, const pair<T, U>& b) {
return {a.first - b.first, a.second - b.second};
}
template<typename T, typename U,typename Z>
pair<T, U> operator*(const pair<T, U>& a, const Z& b) {
return {a.first*b, a.second*b};
}
template<typename T, typename U,typename Z>
pair<T, U> operator/(const pair<T, U>& a, const Z& b) {
return {a.first/b, a.second/b};
}
template<typename T, typename U>
ostream& operator<<(ostream& os, const pair<T, U>& p) {
os<<"{"<<p.ff<<", "<<p.ss<<"}";
return os;
}
template<typename T>
ostream& operator<<(ostream& os, const vector<T>& v) {
os << "{";
for (size_t i = 0; i < v.size(); ++i) {
if (i) os << ", ";
os << v[i];
}
os << "}";
return os;
}
template<ll MOD=998244353>
struct mint_t{
ll x;
mint_t(ll y=0){x=y%MOD;if(x<0)x+=MOD;}
mint_t& operator+=(const mint_t& a){if((x+=a.x)>=MOD)x-=MOD;return *this;}
mint_t& operator-=(const mint_t& a){if((x+=MOD-a.x)>=MOD)x-=MOD;return *this;}
mint_t operator+(const mint_t& a)const{mint_t res(*this);return res+=a;}
mint_t operator-(const mint_t& a)const{mint_t res(*this);return res-=a;}
mint_t& operator*=(const mint_t& a){(x*=a.x)%=MOD;return *this;}
mint_t operator*(const mint_t& a)const{mint_t res(*this);return res*=a;}
mint_t fp(ll y)const{
mint_t a=1,b=x;
while(y){
if(y&1)a*=b;
b*=b;
y/=2;
}
return a;
}
mint_t& operator/=(const mint_t& a){(*this)*=a.fp(MOD-2);return *this;}
mint_t operator/(const mint_t& a)const{mint_t res(*this);return res/=a;}
};
#define mint mint_t<>
template<long long MOD>
istream& operator>>(istream& in, mint_t<MOD>& a){
ll x;
in>>x;
a=mint_t<MOD>(x);
return in;
}
template<long long MOD>
istream& operator<<(istream& out, mint_t<MOD>& a){
out<<a.x;
return out;
}
mint fct[FCTCST];
mint bnm(ll a,ll b){
if(b>a || a<0)return 0;
return fct[a]/fct[b]/fct[a-b];
}
bool ok2(vi v1,vi v2){
vi pr1={0},pr2={0};
for(ll i=0;i<v1.size();i++){
pr1.pb(pr1.back());
if(i%2==0)pr1.back()+=v1[i];
else pr1.back()-=v1[i];
}
for(ll i=0;i<v2.size();i++){
pr2.pb(pr2.back());
if(i%2==0)pr2.back()+=v2[i];
else pr2.back()-=v2[i];
}
if(pr1.back()+pr2.back()!=0)return 0;
//cout<<pr1<<endl<<pr2<<endl;
vii x1,x2;
ll mx=0;
ll mn=0;
for(ll i=1;i<pr1.size();i++){
if(pr1[i]>mx){
x1.pb({-mn,pr1[i]});
mx=pr1[i];
}
else mn=min(mn,pr1[i]);
}
ll mxo=mx,mno=mn;
mx=0;
mn=0;
for(ll i=1;i<pr2.size();i++){
if(pr2[i]>mx){
x2.pb({-mn,pr2[i]});
mx=pr2[i];
}
else mn=min(mn,pr2[i]);
}
if(mn+mxo<0 || mx+mno<0)return 0;
rev(x1);rev(x2);
ll w1=0,w2=0;
//cout<<x1<<" "<<x2<<endl;
while(x1.size() || x2.size()){
if(x1.size() && w2>=x1.back().ff){
w1=x1.back().ss;
x1.pop_back();
}
else if(x2.size() && w1>=x2.back().ff){
w2=x2.back().ss;x2.pop_back();
}
else return 0;
}
return 1;
}
bool ok(vi v1,vi v2){//zaczynamy od (
if(v1.size()%2)v1.pb(0);
if(v2.size()%2)v2.pb(0);
bool bl=ok2(v1,v2);
rev(v1);rev(v2);
return bl&ok2(v1,v2);
}
void solve(){
//cout<<ok({1,1},{0,2,1,1,2});exit(0);
vi v1,v2;
ll n,m,a;
cin>>n;
char c;
cin>>c;
if(c==')'){
v1.pb(0);
}
for(ll i=0;i<n;i++){
cin>>a;
v1.pb(a);
}
ll s1=0;
for(ll i=0;i<v1.size();i++){
if(i%2)s1-=v1[i];
else s1+=v1[i];
}
cin>>m;
cin>>c;
if(c==')'){
v2.pb(0);
}
for(ll i=0;i<m;i++){
cin>>a;
v2.pb(a);
}
ll il=0;
n=v1.size();m=v2.size();
for(ll i=0;i<m;i++){
for(ll j=i+1;j<m;j++){
ll s2=0;
for(ll k=i+1;k<j;k++){
if(k%2)s2-=v2[k];
else s2+=v2[k];
}
if(i%2==0 && j%2==0){
ll sm=-s1-s2;
ll l=min(v2[i]+1,sm),r=max(1LL,sm-v2[j]);
if(l<=r)continue;
//cout<<sm<<" "<<l<<" "<<r<<" ";
while(l!=r){
ll md=(l+r)/2;
vi zap;
zap.pb(md);
for(ll k=i+1;k<j;k++)zap.pb(v2[k]);
zap.pb(sm-md);
// cout<<zap.back()<<" ";
if(ok(v1,zap))l=md;
else r=md+1;
}
// cout<<i<<" "<<j<<" "<<min(v2[i]+1,sm-1)<<" "<<l<<endl;
il+=(min(v2[i]+1,sm)-l);
}
else if(i%2==1 && j%2==1){
ll sm=s1+s2;
ll l=max(0LL,sm-v2[j]-1),r=min(v2[i],sm-1);
if(l>=r)continue;
//cout<<sm<<" "<<l<<" "<<r<<" ";
while(l!=r){
ll md=(l+r+1)/2;
vi zap={0};
zap.pb(md);
for(ll k=i+1;k<j;k++)zap.pb(v2[k]);
zap.pb(sm-md);
// cout<<zap.back()<<" ";
if(ok(v1,zap))l=md;
else r=md-1;
}
// cout<<i<<" "<<j<<" "<<min(v2[i]+1,sm-1)<<" "<<l<<endl;
il+=(l-max(0LL,sm-v2[j]-1));
}
else if(i%2==0 && j%2==1){
ll sm=-s1-s2;
ll l=max(1LL,sm+1),r=min(v2[i],sm+v2[j])+1;
if(l>=r)continue;
//cout<<sm<<" "<<l<<" "<<r<<" ";
while(l!=r){
ll md=(l+r)/2;
vi zap={};
zap.pb(md);
for(ll k=i+1;k<j;k++)zap.pb(v2[k]);
zap.pb(md-sm);
// cout<<zap.back()<<" ";
if(ok(v1,zap))r=md;
else l=md+1;
}
// cout<<i<<" "<<j<<" "<<min(v2[i]+1,sm-1)<<" "<<l<<endl;
il+=(min(v2[i],sm+v2[j])+1-l);
}
else{
ll sm=s1+s2;
ll l=max(0LL,sm),r=min(v2[i],sm+v2[j]);
if(l>=r)continue;
//cout<<sm<<" "<<l<<" "<<r<<" ";
while(l!=r){
ll md=(l+r+1)/2;
vi zap={0};
zap.pb(md);
for(ll k=i+1;k<j;k++)zap.pb(v2[k]);
zap.pb(md-sm);
// cout<<zap.back()<<" ";
if(ok(v1,zap))l=md;
else r=md-1;
}
// cout<<i<<" "<<j<<" "<<min(v2[i]+1,sm-1)<<" "<<l<<endl;
il+=(l-max(0LL,sm));
}
}
ll k=abs(s1);
if(k==0 || k>v2[i])continue;
vi zap;
if(i%2)zap={0,k};
else
zap={k};
il+=(ll)ok(v1,zap)*(v2[i]-k+1);
}
cout<<il;
}
int main(){
ios_base::sync_with_stdio(0);
fct[0]=1;
for(ll i=1;i<FCTCST;i++)fct[i]=fct[i-1]*i;
ll t=1;
//cin>>t;
for(ll i=1;i<=t;i++){
//cout<<"Case #"<<i<<": ";
solve();
}
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 | #pragma GCC optimize("O3") #include <bits/stdc++.h> using namespace std; #define ll long long #define ld long double #define pb push_back #define ff first #define ss second #define INF 1000000001LL #define POT (1LL<<23) #define INFL 1000000000000000099LL #define pii pair<ll,ll> #define ppi pair<pii,ll> #define pip pair<ll,pii> #define ppp pair<pii,pii> #define vi vector<ll> #define vii vector<pii> #define vvi vector<vi> #define al(x) x.begin(),x.end() #define rev(x) reverse(al(x)) #define X 18 #define FCTCST 7 template<typename T, typename U> pair<T, U> operator+(const pair<T, U>& a, const pair<T, U>& b) { return {a.first + b.first, a.second + b.second}; } template<typename T, typename U> pair<T, U> operator-(const pair<T, U>& a, const pair<T, U>& b) { return {a.first - b.first, a.second - b.second}; } template<typename T, typename U,typename Z> pair<T, U> operator*(const pair<T, U>& a, const Z& b) { return {a.first*b, a.second*b}; } template<typename T, typename U,typename Z> pair<T, U> operator/(const pair<T, U>& a, const Z& b) { return {a.first/b, a.second/b}; } template<typename T, typename U> ostream& operator<<(ostream& os, const pair<T, U>& p) { os<<"{"<<p.ff<<", "<<p.ss<<"}"; return os; } template<typename T> ostream& operator<<(ostream& os, const vector<T>& v) { os << "{"; for (size_t i = 0; i < v.size(); ++i) { if (i) os << ", "; os << v[i]; } os << "}"; return os; } template<ll MOD=998244353> struct mint_t{ ll x; mint_t(ll y=0){x=y%MOD;if(x<0)x+=MOD;} mint_t& operator+=(const mint_t& a){if((x+=a.x)>=MOD)x-=MOD;return *this;} mint_t& operator-=(const mint_t& a){if((x+=MOD-a.x)>=MOD)x-=MOD;return *this;} mint_t operator+(const mint_t& a)const{mint_t res(*this);return res+=a;} mint_t operator-(const mint_t& a)const{mint_t res(*this);return res-=a;} mint_t& operator*=(const mint_t& a){(x*=a.x)%=MOD;return *this;} mint_t operator*(const mint_t& a)const{mint_t res(*this);return res*=a;} mint_t fp(ll y)const{ mint_t a=1,b=x; while(y){ if(y&1)a*=b; b*=b; y/=2; } return a; } mint_t& operator/=(const mint_t& a){(*this)*=a.fp(MOD-2);return *this;} mint_t operator/(const mint_t& a)const{mint_t res(*this);return res/=a;} }; #define mint mint_t<> template<long long MOD> istream& operator>>(istream& in, mint_t<MOD>& a){ ll x; in>>x; a=mint_t<MOD>(x); return in; } template<long long MOD> istream& operator<<(istream& out, mint_t<MOD>& a){ out<<a.x; return out; } mint fct[FCTCST]; mint bnm(ll a,ll b){ if(b>a || a<0)return 0; return fct[a]/fct[b]/fct[a-b]; } bool ok2(vi v1,vi v2){ vi pr1={0},pr2={0}; for(ll i=0;i<v1.size();i++){ pr1.pb(pr1.back()); if(i%2==0)pr1.back()+=v1[i]; else pr1.back()-=v1[i]; } for(ll i=0;i<v2.size();i++){ pr2.pb(pr2.back()); if(i%2==0)pr2.back()+=v2[i]; else pr2.back()-=v2[i]; } if(pr1.back()+pr2.back()!=0)return 0; //cout<<pr1<<endl<<pr2<<endl; vii x1,x2; ll mx=0; ll mn=0; for(ll i=1;i<pr1.size();i++){ if(pr1[i]>mx){ x1.pb({-mn,pr1[i]}); mx=pr1[i]; } else mn=min(mn,pr1[i]); } ll mxo=mx,mno=mn; mx=0; mn=0; for(ll i=1;i<pr2.size();i++){ if(pr2[i]>mx){ x2.pb({-mn,pr2[i]}); mx=pr2[i]; } else mn=min(mn,pr2[i]); } if(mn+mxo<0 || mx+mno<0)return 0; rev(x1);rev(x2); ll w1=0,w2=0; //cout<<x1<<" "<<x2<<endl; while(x1.size() || x2.size()){ if(x1.size() && w2>=x1.back().ff){ w1=x1.back().ss; x1.pop_back(); } else if(x2.size() && w1>=x2.back().ff){ w2=x2.back().ss;x2.pop_back(); } else return 0; } return 1; } bool ok(vi v1,vi v2){//zaczynamy od ( if(v1.size()%2)v1.pb(0); if(v2.size()%2)v2.pb(0); bool bl=ok2(v1,v2); rev(v1);rev(v2); return bl&ok2(v1,v2); } void solve(){ //cout<<ok({1,1},{0,2,1,1,2});exit(0); vi v1,v2; ll n,m,a; cin>>n; char c; cin>>c; if(c==')'){ v1.pb(0); } for(ll i=0;i<n;i++){ cin>>a; v1.pb(a); } ll s1=0; for(ll i=0;i<v1.size();i++){ if(i%2)s1-=v1[i]; else s1+=v1[i]; } cin>>m; cin>>c; if(c==')'){ v2.pb(0); } for(ll i=0;i<m;i++){ cin>>a; v2.pb(a); } ll il=0; n=v1.size();m=v2.size(); for(ll i=0;i<m;i++){ for(ll j=i+1;j<m;j++){ ll s2=0; for(ll k=i+1;k<j;k++){ if(k%2)s2-=v2[k]; else s2+=v2[k]; } if(i%2==0 && j%2==0){ ll sm=-s1-s2; ll l=min(v2[i]+1,sm),r=max(1LL,sm-v2[j]); if(l<=r)continue; //cout<<sm<<" "<<l<<" "<<r<<" "; while(l!=r){ ll md=(l+r)/2; vi zap; zap.pb(md); for(ll k=i+1;k<j;k++)zap.pb(v2[k]); zap.pb(sm-md); // cout<<zap.back()<<" "; if(ok(v1,zap))l=md; else r=md+1; } // cout<<i<<" "<<j<<" "<<min(v2[i]+1,sm-1)<<" "<<l<<endl; il+=(min(v2[i]+1,sm)-l); } else if(i%2==1 && j%2==1){ ll sm=s1+s2; ll l=max(0LL,sm-v2[j]-1),r=min(v2[i],sm-1); if(l>=r)continue; //cout<<sm<<" "<<l<<" "<<r<<" "; while(l!=r){ ll md=(l+r+1)/2; vi zap={0}; zap.pb(md); for(ll k=i+1;k<j;k++)zap.pb(v2[k]); zap.pb(sm-md); // cout<<zap.back()<<" "; if(ok(v1,zap))l=md; else r=md-1; } // cout<<i<<" "<<j<<" "<<min(v2[i]+1,sm-1)<<" "<<l<<endl; il+=(l-max(0LL,sm-v2[j]-1)); } else if(i%2==0 && j%2==1){ ll sm=-s1-s2; ll l=max(1LL,sm+1),r=min(v2[i],sm+v2[j])+1; if(l>=r)continue; //cout<<sm<<" "<<l<<" "<<r<<" "; while(l!=r){ ll md=(l+r)/2; vi zap={}; zap.pb(md); for(ll k=i+1;k<j;k++)zap.pb(v2[k]); zap.pb(md-sm); // cout<<zap.back()<<" "; if(ok(v1,zap))r=md; else l=md+1; } // cout<<i<<" "<<j<<" "<<min(v2[i]+1,sm-1)<<" "<<l<<endl; il+=(min(v2[i],sm+v2[j])+1-l); } else{ ll sm=s1+s2; ll l=max(0LL,sm),r=min(v2[i],sm+v2[j]); if(l>=r)continue; //cout<<sm<<" "<<l<<" "<<r<<" "; while(l!=r){ ll md=(l+r+1)/2; vi zap={0}; zap.pb(md); for(ll k=i+1;k<j;k++)zap.pb(v2[k]); zap.pb(md-sm); // cout<<zap.back()<<" "; if(ok(v1,zap))l=md; else r=md-1; } // cout<<i<<" "<<j<<" "<<min(v2[i]+1,sm-1)<<" "<<l<<endl; il+=(l-max(0LL,sm)); } } ll k=abs(s1); if(k==0 || k>v2[i])continue; vi zap; if(i%2)zap={0,k}; else zap={k}; il+=(ll)ok(v1,zap)*(v2[i]-k+1); } cout<<il; } int main(){ ios_base::sync_with_stdio(0); fct[0]=1; for(ll i=1;i<FCTCST;i++)fct[i]=fct[i-1]*i; ll t=1; //cin>>t; for(ll i=1;i<=t;i++){ //cout<<"Case #"<<i<<": "; solve(); } } |
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