oj.uz

Submission #714999

# Submission time Handle Problem Language Result Execution time Memory
714999 2023-03-25T17:19:56 Z Huseyn123 Stranded Far From Home (BOI22_island) C++17
100 / 100
 752 ms 78232 KB 
#include <bits/stdc++.h>
#define MAX 300001
#define INF LLONG_MAX
#define MOD 1000000007
#define mp make_pair
#define mt make_tuple
#define pb push_back
#define ins insert
#define ff first
#define ss second
#define gett(x,m) get<m>(x)
#define all(a) a.begin(),a.end()
#define lb(a,b) lower_bound(all(a),b)
#define ub(a,b) upper_bound(all(a),b)
#define sortv(a) sort(all(a))
#define sorta(a,sz) sort(a,a+sz)
#define inputar(a,b){\
    for(int i=0;i<b;i++){\
        cin >> a[i];\
    }\
}
#define inputvec(a,b){\
    for(int i=0;i<b;i++){\
        ll num;\
        cin >> num;\
        a.pb(num);\
    }\
}
#define outputar(a,b){\
    for(int i=0;i<b;i++){\
        cout << a[i] << " ";\
    }\
    cout << "\n";\
}
#define outputvec(a){\
    for(auto x:a){\
        cout << x << " ";\
    }\
    cout << "\n";\
}
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef tuple<ll,ll,ll> tll;
typedef pair<ll,ll> pll;
typedef double db;
typedef long double ldb;
inline void USACO(string filename){
  freopen((filename+".in").c_str(),"r",stdin);
  freopen((filename+".out").c_str(),"w",stdout);
}
ll n,q,t=1,m,n2,m2,k,cnt=0,a[MAX],b[MAX],d[MAX],d2[MAX],cnte[MAX],x,y,z,x2,y2,z2,res1=0,cnt1,cnt2,cnt3;
ll c[501][501];
ll fact[MAX];
ll inv_fact[MAX];
//char c;
string str[MAX];
string s1,s2;
vector<tuple<ll,ll,ll>> v;
vector<pll> v1,v2,v3,v4;
const int mod = 998244353;
ll modmul(ll x,ll y,ll md){
    if(y==1){
        return x;
    }
    if(y%2){
        return (x+modmul(x,y-1,md))%md;
    }
    else{
        return (modmul((x+x)%md,y/2,md))%md;
    }
}
ll powmod(ll x,ll y,ll md){
    x%=md;
    if(x==0){
        return 0;
    }
    ll res=1;
    while(y){
        if(y%2==1){
            res*=x;
            res%=md;
        }
        x*=x;
        x%=md;
        y/=2;
    }
    return res;
}
ll pow2(ll x,ll y){
    if(x==0){
        return 0;
    }
    ll res=1;
    while(y>0){
        if(y%2==1){
            if(res>=1e18/x){
                res=1e18;
            }
            else{
                res*=x;
            }
        }
        if(x>=1e18/x){
            x=1e18;
        }
        else{
            x*=x;
        }
        y/=2;
    }
    return res;
}
ll inv(ll n,ll md){
    return powmod(n,md-2,md);
}
ll nCkm(ll n,ll k,ll md){
    if(n-k<0){
        return 0;
    }
    return fact[n]*inv_fact[k]%md*inv_fact[n-k]%md;
}
ll nCk(ll x,ll y){
    if(x<y){
        return 0;
    }
    ll res=1;
    if(y>x-y){
        for(int i=y+1;i<=x;i++){
            res*=i;
        }
        for(int i=2;i<=x-y;i++){
            res/=i;
        }
    }
    else{
        for(int i=x-y+1;i<=x;i++){
            res*=i;
        }
        for(int i=2;i<=y;i++){
            res/=i;
        }
    }
    return res;
}
ll countbits(ll x){
    ll cnt=0;
    while(x){
        cnt+=x&1;
        x>>=1;
    }
    return cnt;
}
ll gcd(ll x,ll y){
    if(y==0){
        return x;
    }
    return gcd(y,x%y);
}
ll lcm(ll x,ll y){
    return x*y/gcd(x,y);
}
bool alpha(char c1,char c2){
    ll h1,h2;
    if(c1>='a'){
        h1=c1-'a';
    }
    else{
        h1=c1-'A';
    }
    if(c2>='a'){
        h2=c2-'a';
    }
    else{
        h2=c2-'A';
    }
    if(h1==h2){
        return c1<c2;
    }
    else{
        return h1<h2;
    }
}
ll dx[4]={1,0,0,-1};
ll dy[4]={0,1,-1,0};
struct custom_hash {
   static uint64_t splitmix64(uint64_t x) {
        x += 0x9e3779b97f4a7c15;
        x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
        x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
        return x ^ (x >> 31);
    }

    size_t operator()(uint64_t x) const {
        static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
        return splitmix64(x + FIXED_RANDOM);
    }
};
pll f(pll x,pll y){
    if(x.ff>y.ff || (x.ff==y.ff && x.ss<y.ss)){
        return mp(x.ff,x.ss);
    }
    else{
        return mp(y.ff,y.ss);
    }
}
struct segtree{
    int size;
    vector<pll> maximum;
    /*
    void build(vector<int> &a,int x,int lx,int rx){
        if(rx-lx==1){
            if(lx<(int)a.size()){
                maximum[x]=a[lx];
            }
            return;
        }
        int m=(lx+rx)/2;
        build(a,2*x+1,lx,m);
        build(a,2*x+2,m,rx);
        maximum[x]=max(maximum[2*x+1],maximum[2*x+2]);
    }
    void build(vector<int> &a){
        build(a,0,0,size);
    }
    */
    void init(int n){
        size=1;
        while(size<n){
            size*=2;
        }
        pll p={-INF,-1};
        maximum.assign(2*size,p);
    }
    pll get_max(int l,int r,int x,int lx,int rx){
        if(lx>=r || rx<=l){
            return mp(-INF,(ll)-1);
        }
        if(lx>=l && rx<=r){
            return maximum[x];
        }
        pll s1,s2;
        int m=(lx+rx)/2;
        s1=get_max(l,r,2*x+1,lx,m);
        s2=get_max(l,r,2*x+2,m,rx);
        return f(s1,s2);
    }
    pll get_max(int l,int r){
        return get_max(l,r,0,0,size);
    }
    void set(int i,int v,int num,int x,int lx,int rx){
        if(rx-lx==1){
            maximum[x]=pll(v,num);
            return;
        }
        int m=(lx+rx)/2;
        if(i<m){
            set(i,v,num,2*x+1,lx,m);
        }
        else{
            set(i,v,num,2*x+2,m,rx);
        }
        maximum[x]=f(maximum[2*x+1],maximum[2*x+2]);
    }
    void set(int i,int v,int num){
        set(i,v,num,0,0,size);
    }
};
struct segtree2{
    int size;
    vector<ll> xr;
    /*
    void build(vector<int> &a,int x,int lx,int rx){
        if(rx-lx==1){
            if(lx<(int)a.size()){
                maximum[x]=a[lx];
            }
            return;
        }
        int m=(lx+rx)/2;
        build(a,2*x+1,lx,m);
        build(a,2*x+2,m,rx);
        maximum[x]=max(maximum[2*x+1],maximum[2*x+2]);
    }
    void build(vector<int> &a){
        build(a,0,0,size);
    }
    */
    void init(int n){
        size=1;
        while(size<n){
            size*=2;
        }
        xr.assign(2*size,0);
    }
    ll get_xr(int l,int r,int x,int lx,int rx){
        if(lx>=r || rx<=l){
            return 0;
        }
        if(lx>=l && rx<=r){
            return xr[x];
        }
        ll s1,s2;
        int m=(lx+rx)/2;
        s1=get_xr(l,r,2*x+1,lx,m);
        s2=get_xr(l,r,2*x+2,m,rx);
        return (s1^s2);
    }
    ll get_xr(int l,int r){
        return get_xr(l,r,0,0,size);
    }
    void set(int i,int v,int x,int lx,int rx){
        if(rx-lx==1){
            xr[x]=v;
            return;
        }
        int m=(lx+rx)/2;
        if(i<m){
            set(i,v,2*x+1,lx,m);
        }
        else{
            set(i,v,2*x+2,m,rx);
        }
        xr[x]=(xr[2*x+1]^xr[2*x+2]);
    }
    void set(int i,int v){
        set(i,v,0,0,size);
    }
};
vector<vector<ll>> g;
vector<vector<ll>> vec;
struct dsu{
    vector<ll> e;
    vector<ll> sum;
    void init(int n){
        e.resize(n+1,-1);
        sum.resize(n+1);
        for(int i=1;i<=n;i++){
            sum[i]=a[i];
            vec[i].pb(i);
        }
    }
    int get(int x){
        if(e[x]<0){
            return x;
        }
        else{
            return e[x]=get(e[x]);
        }
    }
    bool same_set(int x,int y){
        return (get(x)==get(y));
    }
    int size(int x){
        return -e[get(x)];
    }
    ll get_sum(int x){
        return sum[get(x)];
    }
    bool unite(int x,int y){
        x=get(x);
        y=get(y);
        if(x==y){
            return false;
        }
        if(e[x]>e[y]){
            swap(x,y);
        }
        e[x]+=e[y];
        sum[x]+=sum[y];
        for(auto z:vec[y]){
            vec[x].pb(z);
        }
        e[y]=x;
        return true;
    }
};
void solve(){
    cin >> n >> m;
    g.resize(n+1);
    vec.resize(n+1);
    vector<vector<ll>> c;
    set<ll> st;
    map<ll,ll> comp;
    for(int i=1;i<=n;i++){
        cin >> a[i];
        st.ins(a[i]);
    }
    ll cnt=0;
    for(auto x:st){
        comp[x]=cnt;
        cnt++;
    }
    c.resize(cnt);
    for(int i=1;i<=n;i++){
        c[comp[a[i]]].pb(i);
    }
    for(int i=0;i<m;i++){
        cin >> x >> y;
        g[x].pb(y);
        g[y].pb(x);
    }
    dsu h;
    h.init(n);
    for(int i=0;i<cnt;i++){
        for(auto y:c[i]){
            for(auto z:g[y]){
                if(a[z]<=a[y]){
                    if(h.get_sum(z)<a[y]){
                        ll rt=h.get(z);
                        for(auto nd:vec[rt]){
                            b[nd]=1;
                        }
                        vec[rt].clear();
                    }
                    h.unite(z,y);
                }
            }
        }
    }
    for(int i=1;i<=n;i++){
        cout << 1-b[i];
    }
}
int main(){
    //ios::sync_with_stdio(0);
    //cin.tie(0);
    //cout.tie(0);
    //USACO("poetry");
    //freopen("input.txt","r",stdin);
    //cin >> t;
    ll cnt1=1;
    while(t--){
        solve();
        cnt1++;
    }
}
/*
freopen("input.txt","r",stdin);
freopen("output.txt","w",stdout);
ifstream fin("template.in");
ofstream fout("template.out");
*/
/*
freopen("input.txt","r",stdin);
freopen("output.txt","w",stdout);
ifstream fin("template.in");
ofstream fout("template.out");
*/
/*
ll b[51][51];
b[0][0] = 1;
    for (int n = 1; n <= 50; ++n){
        b[n][0] = b[n][n] = 1;
        for (int k = 1; k < n; ++k)
            b[n][k] = b[n - 1][k - 1] + b[n - 1][k];
    }
*/

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 9 ms 10280 KB Output is correct
5 Correct 9 ms 10308 KB Output is correct
6 Correct 9 ms 9940 KB Output is correct
7 Correct 9 ms 10072 KB Output is correct
8 Correct 7 ms 10068 KB Output is correct
9 Correct 9 ms 10012 KB Output is correct
10 Correct 8 ms 10324 KB Output is correct
11 Correct 9 ms 10296 KB Output is correct
12 Correct 7 ms 10260 KB Output is correct
13 Correct 7 ms 9940 KB Output is correct
14 Correct 7 ms 10068 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9708 KB Output is correct
2 Correct 6 ms 9684 KB Output is correct
3 Correct 431 ms 74176 KB Output is correct
4 Correct 248 ms 42128 KB Output is correct
5 Correct 443 ms 74884 KB Output is correct
6 Correct 412 ms 69440 KB Output is correct
7 Correct 445 ms 77208 KB Output is correct
8 Correct 326 ms 41884 KB Output is correct
9 Correct 393 ms 73084 KB Output is correct
10 Correct 355 ms 64932 KB Output is correct
11 Correct 246 ms 42500 KB Output is correct
12 Correct 273 ms 42728 KB Output is correct
13 Correct 244 ms 41308 KB Output is correct
14 Correct 239 ms 41212 KB Output is correct
15 Correct 430 ms 71320 KB Output is correct
16 Correct 325 ms 70704 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 752 ms 77948 KB Output is correct
3 Correct 652 ms 70720 KB Output is correct
4 Correct 279 ms 40952 KB Output is correct
5 Correct 257 ms 41772 KB Output is correct
6 Correct 726 ms 78232 KB Output is correct
7 Correct 384 ms 71380 KB Output is correct
8 Correct 416 ms 71276 KB Output is correct
9 Correct 315 ms 70664 KB Output is correct
10 Correct 421 ms 56128 KB Output is correct
11 Correct 264 ms 43548 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 380 ms 43832 KB Output is correct
3 Correct 361 ms 44388 KB Output is correct
4 Correct 378 ms 46740 KB Output is correct
5 Correct 378 ms 48188 KB Output is correct
6 Correct 333 ms 43968 KB Output is correct
7 Correct 254 ms 42528 KB Output is correct
8 Correct 209 ms 41292 KB Output is correct
9 Correct 199 ms 28492 KB Output is correct
10 Correct 318 ms 52564 KB Output is correct
11 Correct 257 ms 42260 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9684 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 5 ms 9684 KB Output is correct
4 Correct 9 ms 10280 KB Output is correct
5 Correct 9 ms 10308 KB Output is correct
6 Correct 9 ms 9940 KB Output is correct
7 Correct 9 ms 10072 KB Output is correct
8 Correct 7 ms 10068 KB Output is correct
9 Correct 9 ms 10012 KB Output is correct
10 Correct 8 ms 10324 KB Output is correct
11 Correct 9 ms 10296 KB Output is correct
12 Correct 7 ms 10260 KB Output is correct
13 Correct 7 ms 9940 KB Output is correct
14 Correct 7 ms 10068 KB Output is correct
15 Correct 5 ms 9708 KB Output is correct
16 Correct 6 ms 9684 KB Output is correct
17 Correct 431 ms 74176 KB Output is correct
18 Correct 248 ms 42128 KB Output is correct
19 Correct 443 ms 74884 KB Output is correct
20 Correct 412 ms 69440 KB Output is correct
21 Correct 445 ms 77208 KB Output is correct
22 Correct 326 ms 41884 KB Output is correct
23 Correct 393 ms 73084 KB Output is correct
24 Correct 355 ms 64932 KB Output is correct
25 Correct 246 ms 42500 KB Output is correct
26 Correct 273 ms 42728 KB Output is correct
27 Correct 244 ms 41308 KB Output is correct
28 Correct 239 ms 41212 KB Output is correct
29 Correct 430 ms 71320 KB Output is correct
30 Correct 325 ms 70704 KB Output is correct
31 Correct 5 ms 9684 KB Output is correct
32 Correct 752 ms 77948 KB Output is correct
33 Correct 652 ms 70720 KB Output is correct
34 Correct 279 ms 40952 KB Output is correct
35 Correct 257 ms 41772 KB Output is correct
36 Correct 726 ms 78232 KB Output is correct
37 Correct 384 ms 71380 KB Output is correct
38 Correct 416 ms 71276 KB Output is correct
39 Correct 315 ms 70664 KB Output is correct
40 Correct 421 ms 56128 KB Output is correct
41 Correct 264 ms 43548 KB Output is correct
42 Correct 5 ms 9684 KB Output is correct
43 Correct 380 ms 43832 KB Output is correct
44 Correct 361 ms 44388 KB Output is correct
45 Correct 378 ms 46740 KB Output is correct
46 Correct 378 ms 48188 KB Output is correct
47 Correct 333 ms 43968 KB Output is correct
48 Correct 254 ms 42528 KB Output is correct
49 Correct 209 ms 41292 KB Output is correct
50 Correct 199 ms 28492 KB Output is correct
51 Correct 318 ms 52564 KB Output is correct
52 Correct 257 ms 42260 KB Output is correct
53 Correct 5 ms 9684 KB Output is correct
54 Correct 5 ms 9684 KB Output is correct
55 Correct 4 ms 9684 KB Output is correct
56 Correct 9 ms 10232 KB Output is correct
57 Correct 10 ms 10196 KB Output is correct
58 Correct 8 ms 9940 KB Output is correct
59 Correct 8 ms 10196 KB Output is correct
60 Correct 7 ms 10068 KB Output is correct
61 Correct 7 ms 9940 KB Output is correct
62 Correct 8 ms 10324 KB Output is correct
63 Correct 8 ms 10324 KB Output is correct
64 Correct 8 ms 10324 KB Output is correct
65 Correct 7 ms 9940 KB Output is correct
66 Correct 9 ms 10068 KB Output is correct
67 Correct 413 ms 74140 KB Output is correct
68 Correct 234 ms 42112 KB Output is correct
69 Correct 443 ms 74956 KB Output is correct
70 Correct 411 ms 69516 KB Output is correct
71 Correct 454 ms 77356 KB Output is correct
72 Correct 287 ms 41916 KB Output is correct
73 Correct 424 ms 73000 KB Output is correct
74 Correct 351 ms 64880 KB Output is correct
75 Correct 237 ms 42480 KB Output is correct
76 Correct 294 ms 42716 KB Output is correct
77 Correct 236 ms 41244 KB Output is correct
78 Correct 240 ms 41308 KB Output is correct
79 Correct 380 ms 71396 KB Output is correct
80 Correct 328 ms 70776 KB Output is correct
81 Correct 688 ms 77736 KB Output is correct
82 Correct 621 ms 70796 KB Output is correct
83 Correct 281 ms 40856 KB Output is correct
84 Correct 235 ms 41688 KB Output is correct
85 Correct 683 ms 78220 KB Output is correct
86 Correct 375 ms 71284 KB Output is correct
87 Correct 385 ms 71428 KB Output is correct
88 Correct 331 ms 56220 KB Output is correct
89 Correct 261 ms 43540 KB Output is correct
90 Correct 353 ms 43772 KB Output is correct
91 Correct 355 ms 44400 KB Output is correct
92 Correct 354 ms 46772 KB Output is correct
93 Correct 330 ms 48212 KB Output is correct
94 Correct 314 ms 43920 KB Output is correct
95 Correct 255 ms 42436 KB Output is correct
96 Correct 203 ms 41352 KB Output is correct
97 Correct 197 ms 28432 KB Output is correct
98 Correct 298 ms 52572 KB Output is correct
99 Correct 242 ms 42264 KB Output is correct
100 Correct 104 ms 15052 KB Output is correct
101 Correct 596 ms 68728 KB Output is correct
102 Correct 280 ms 37788 KB Output is correct
103 Correct 461 ms 57384 KB Output is correct
104 Correct 692 ms 73096 KB Output is correct