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Submission #714996

# Submission time Handle Problem Language Result Execution time Memory
714996 2023-03-25T17:01:30 Z DSA Stranded Far From Home (BOI22_island) C++17
100 / 100
 815 ms 82720 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 6 ms 9684 KB Output is correct
2 Correct 5 ms 9696 KB Output is correct
3 Correct 5 ms 9696 KB Output is correct
4 Correct 8 ms 10196 KB Output is correct
5 Correct 9 ms 10300 KB Output is correct
6 Correct 8 ms 9940 KB Output is correct
7 Correct 8 ms 10196 KB Output is correct
8 Correct 7 ms 10100 KB Output is correct
9 Correct 8 ms 10068 KB Output is correct
10 Correct 9 ms 10268 KB Output is correct
11 Correct 10 ms 10416 KB Output is correct
12 Correct 9 ms 10324 KB Output is correct
13 Correct 8 ms 9972 KB Output is correct
14 Correct 8 ms 10044 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 9704 KB Output is correct
2 Correct 5 ms 9684 KB Output is correct
3 Correct 431 ms 74776 KB Output is correct
4 Correct 270 ms 42696 KB Output is correct
5 Correct 449 ms 75488 KB Output is correct
6 Correct 470 ms 70036 KB Output is correct
7 Correct 489 ms 77848 KB Output is correct
8 Correct 353 ms 42400 KB Output is correct
9 Correct 405 ms 73596 KB Output is correct
10 Correct 412 ms 65596 KB Output is correct
11 Correct 245 ms 43076 KB Output is correct
12 Correct 316 ms 43404 KB Output is correct
13 Correct 259 ms 41892 KB Output is correct
14 Correct 248 ms 41848 KB Output is correct
15 Correct 418 ms 72000 KB Output is correct
16 Correct 318 ms 71216 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 738 ms 78316 KB Output is correct
3 Correct 656 ms 72644 KB Output is correct
4 Correct 305 ms 42812 KB Output is correct
5 Correct 232 ms 43448 KB Output is correct
6 Correct 701 ms 79984 KB Output is correct
7 Correct 419 ms 73032 KB Output is correct
8 Correct 425 ms 73144 KB Output is correct
9 Correct 317 ms 72420 KB Output is correct
10 Correct 352 ms 59968 KB Output is correct
11 Correct 258 ms 46416 KB Output is correct

Subtask #4
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9700 KB Output is correct
2 Correct 351 ms 44304 KB Output is correct
3 Correct 382 ms 47488 KB Output is correct
4 Correct 382 ms 49856 KB Output is correct
5 Correct 377 ms 51352 KB Output is correct
6 Correct 344 ms 47092 KB Output is correct
7 Correct 260 ms 45580 KB Output is correct
8 Correct 195 ms 44464 KB Output is correct
9 Correct 217 ms 31172 KB Output is correct
10 Correct 331 ms 55444 KB Output is correct
11 Correct 242 ms 45128 KB Output is correct

Subtask #5
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 9684 KB Output is correct
2 Correct 5 ms 9696 KB Output is correct
3 Correct 5 ms 9696 KB Output is correct
4 Correct 8 ms 10196 KB Output is correct
5 Correct 9 ms 10300 KB Output is correct
6 Correct 8 ms 9940 KB Output is correct
7 Correct 8 ms 10196 KB Output is correct
8 Correct 7 ms 10100 KB Output is correct
9 Correct 8 ms 10068 KB Output is correct
10 Correct 9 ms 10268 KB Output is correct
11 Correct 10 ms 10416 KB Output is correct
12 Correct 9 ms 10324 KB Output is correct
13 Correct 8 ms 9972 KB Output is correct
14 Correct 8 ms 10044 KB Output is correct
15 Correct 5 ms 9704 KB Output is correct
16 Correct 5 ms 9684 KB Output is correct
17 Correct 431 ms 74776 KB Output is correct
18 Correct 270 ms 42696 KB Output is correct
19 Correct 449 ms 75488 KB Output is correct
20 Correct 470 ms 70036 KB Output is correct
21 Correct 489 ms 77848 KB Output is correct
22 Correct 353 ms 42400 KB Output is correct
23 Correct 405 ms 73596 KB Output is correct
24 Correct 412 ms 65596 KB Output is correct
25 Correct 245 ms 43076 KB Output is correct
26 Correct 316 ms 43404 KB Output is correct
27 Correct 259 ms 41892 KB Output is correct
28 Correct 248 ms 41848 KB Output is correct
29 Correct 418 ms 72000 KB Output is correct
30 Correct 318 ms 71216 KB Output is correct
31 Correct 6 ms 9684 KB Output is correct
32 Correct 738 ms 78316 KB Output is correct
33 Correct 656 ms 72644 KB Output is correct
34 Correct 305 ms 42812 KB Output is correct
35 Correct 232 ms 43448 KB Output is correct
36 Correct 701 ms 79984 KB Output is correct
37 Correct 419 ms 73032 KB Output is correct
38 Correct 425 ms 73144 KB Output is correct
39 Correct 317 ms 72420 KB Output is correct
40 Correct 352 ms 59968 KB Output is correct
41 Correct 258 ms 46416 KB Output is correct
42 Correct 6 ms 9700 KB Output is correct
43 Correct 351 ms 44304 KB Output is correct
44 Correct 382 ms 47488 KB Output is correct
45 Correct 382 ms 49856 KB Output is correct
46 Correct 377 ms 51352 KB Output is correct
47 Correct 344 ms 47092 KB Output is correct
48 Correct 260 ms 45580 KB Output is correct
49 Correct 195 ms 44464 KB Output is correct
50 Correct 217 ms 31172 KB Output is correct
51 Correct 331 ms 55444 KB Output is correct
52 Correct 242 ms 45128 KB Output is correct
53 Correct 5 ms 9684 KB Output is correct
54 Correct 5 ms 9732 KB Output is correct
55 Correct 5 ms 9684 KB Output is correct
56 Correct 8 ms 10228 KB Output is correct
57 Correct 8 ms 10356 KB Output is correct
58 Correct 7 ms 9940 KB Output is correct
59 Correct 8 ms 10196 KB Output is correct
60 Correct 9 ms 10100 KB Output is correct
61 Correct 7 ms 10080 KB Output is correct
62 Correct 9 ms 10324 KB Output is correct
63 Correct 9 ms 10428 KB Output is correct
64 Correct 9 ms 10324 KB Output is correct
65 Correct 8 ms 9972 KB Output is correct
66 Correct 8 ms 10068 KB Output is correct
67 Correct 376 ms 78656 KB Output is correct
68 Correct 289 ms 45268 KB Output is correct
69 Correct 422 ms 79224 KB Output is correct
70 Correct 480 ms 73840 KB Output is correct
71 Correct 443 ms 81584 KB Output is correct
72 Correct 341 ms 46336 KB Output is correct
73 Correct 386 ms 77424 KB Output is correct
74 Correct 380 ms 68536 KB Output is correct
75 Correct 232 ms 45924 KB Output is correct
76 Correct 286 ms 45920 KB Output is correct
77 Correct 227 ms 44272 KB Output is correct
78 Correct 229 ms 44304 KB Output is correct
79 Correct 405 ms 75724 KB Output is correct
80 Correct 309 ms 74620 KB Output is correct
81 Correct 670 ms 82240 KB Output is correct
82 Correct 617 ms 75296 KB Output is correct
83 Correct 295 ms 45372 KB Output is correct
84 Correct 228 ms 44644 KB Output is correct
85 Correct 733 ms 82720 KB Output is correct
86 Correct 428 ms 76044 KB Output is correct
87 Correct 459 ms 75840 KB Output is correct
88 Correct 361 ms 59976 KB Output is correct
89 Correct 341 ms 46508 KB Output is correct
90 Correct 507 ms 48184 KB Output is correct
91 Correct 386 ms 48824 KB Output is correct
92 Correct 381 ms 51200 KB Output is correct
93 Correct 527 ms 52704 KB Output is correct
94 Correct 377 ms 48300 KB Output is correct
95 Correct 288 ms 47004 KB Output is correct
96 Correct 211 ms 44636 KB Output is correct
97 Correct 209 ms 31024 KB Output is correct
98 Correct 360 ms 55508 KB Output is correct
99 Correct 282 ms 45136 KB Output is correct
100 Correct 127 ms 16968 KB Output is correct
101 Correct 677 ms 73132 KB Output is correct
102 Correct 382 ms 41856 KB Output is correct
103 Correct 568 ms 61360 KB Output is correct
104 Correct 815 ms 77500 KB Output is correct