oj.uz

Submission #253729

# Submission time Handle Problem Language Result Execution time Memory
253729 2020-07-28T15:17:49 Z b00n0rp Triple Jump (JOI19_jumps) C++17
100 / 100
 3222 ms 129268 KB 
// --------------------------------------------------<TEMPLATE>--------------------------------------------------
// --------------------<optimizations>--------------------

/*
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx,avx2,fma")
*/ 

// -------------------</optimizations>--------------------
 
// ---------------<Headers and namespaces>----------------
#include <bits/stdc++.h>
using namespace std;
 
/*
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
*/
 
// ---------------</Headers and namespaces>---------------
 
// -----------------<Defines and typedefs>----------------
// typedef tree<int,null_type,less<int>,rb_tree_tag, \
tree_order_statistics_node_update> indexed_set; // use less_equal for multiset
// order_of_key (val): returns the no. of values less than val
// find_by_order (k): returns the iterator to kth largest element.(0-based)
 
typedef long double LD;
typedef long long ll;
#define int ll
#define pb push_back
#define mp make_pair
#define REP(i,n) for (int i = 0; i < n; i++)
#define FOR(i,a,b) for (int i = a; i < b; i++)
#define REPD(i,n) for (int i = n-1; i >= 0; i--)
#define FORD(i,a,b) for (int i = a; i >= b; i--)
#define remax(a,b) a = max(a,b)
#define remin(a,b) a = min(a,b)
#define all(v) v.begin(),v.end()
typedef map<int,int> mii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int,int> pii;
typedef vector<pii> vpii;
#define F first
#define S second
#define PQ(type) priority_queue<type>
#define PQD(type) priority_queue<type,vector<type>,greater<type> >
#define WL(t) while(t --)
#define SZ(x) ((int)(x).size())
#define runtime() ((double)clock() / CLOCKS_PER_SEC)
#define inrange(i,a,b) ((i>=min(a,b)) && (i<=max(a,b)))
 
/*
// -----<SCANF>-----
#define sfi(x) scanf("%d",&x);
#define sfi2(x,y) scanf("%d%d",&x,&y);
#define sfi3(x,y,z) scanf("%d%d%d",&x,&y,&z);
 
#define sfl(x) scanf("%lld",&x);
#define sfl2(x,y) scanf("%lld%lld",&x,&y);
#define sfl3(x,y,z) scanf("%lld%lld%lld",&x,&y,&z);
#define sfl4(x,y,z,x1) scanf("%lld%lld%lld%lld",&x,&y,&z,&x1);
#define sfl5(x,y,z,x1,y1) scanf("%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1);
#define sfl6(x,y,z,x1,y1,z1) scanf("%lld%lld%lld%lld%lld%lld",&x,&y,&z,&x1,&y1,&z1);
 
#define sfs(x) scanf("%s",x);
#define sfs2(x,y) scanf("%s%s",x,y);
#define sfs3(x,y,z) scanf("%s%s%s",x,y,z);
// ----</SCANF>-----
 
// ----<PRINTF>-----
#define pfi(x) printf("%d\n",x);
#define pfi2(x,y) printf("%d %d\n",x,y);
#define pfi3(x,y,z) printf("%d %d %d\n",x,y,z);
 
#define pfl(x) printf("%lld\n",x);
#define pfl2(x,y) printf("%lld %lld\n",x,y);
#define pfl3(x,y,z) printf("%lld %lld %lld\n",x,y,z);
 
#define pfs(x) printf("%s\n",x);
#define pfs2(x,y) printf("%s %s\n",x,y);
#define pfs3(x,y,z) printf("%s %s %s\n",x,y,z);
 
#define pwe(x) printf("%lld ",x); // print without end
// ----</PRINTF>----
*/

#define FLSH fflush(stdout)
#define fileIO(name) \
    freopen(name".in", "r", stdin); \
    freopen(name".out", "w", stdout);
#define PRECISION(x) cout << fixed << setprecision(x); 
#define FAST_IO ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
 
// ----------------</Defines and typedefs>----------------
 
// -------------------<Debugging stuff>-------------------
#define TRACE
 
#ifdef TRACE
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
template <typename Arg1>
void __f(const char* name, Arg1&& arg1){
    cout << name << " : " << arg1 << std::endl;
}
template <typename Arg1, typename... Args>
void __f(const char* names, Arg1&& arg1, Args&&... args){
    const char* comma = strchr(names + 1, ',');cout.write(names, comma - names) << " : " << arg1<<" | ";__f(comma+1, args...);
}
#else
#define trace(...)
#endif
 
// ------------------</Debugging stuff>-------------------
 
// ------------------------<Consts>-----------------------
const int MAXN = 500005;
const int SQRTN = 1003;
const int LOGN = 22;
const double PI=acos(-1);
 
#ifdef int
const int INF=1e16;
#else
const int INF=1e9;
#endif
 
const int MOD = 1000000007;
const int FMOD = 998244353;
const double eps = 1e-9;

// -----------------------</Consts>-----------------------

/*

// -------------------------<RNG>-------------------------
mt19937 RNG(chrono::steady_clock::now().time_since_epoch().count()); 
#define SHUF(v) shuffle(all(v), RNG);
// Use mt19937_64 for 64 bit random numbers.
 
// ------------------------</RNG>-------------------------
 
// ----------------------<MATH>---------------------------

template<typename T> T gcd(T a, T b){return(b?__gcd(a,b):a);}
template<typename T> T lcm(T a, T b){return(a*(b/gcd(a,b)));}
int add(int a, int b, int c = MOD){int res=a+b;return(res>=c?res-c:res);}
int mod_neg(int a, int b, int c = MOD){int res;if(abs(a-b)<c)res=a-b;else res=(a-b)%c;return(res<0?res+c:res);}
int mul(int a, int b, int c = MOD){ll res=(ll)a*b;return(res>=c?res%c:res);}
int muln(int a, int b, int c = MOD){ll res=(ll)a*b;return ((res%c)+c)%c;}
ll mulmod(ll a,ll b, ll m = MOD){ll q = (ll)(((LD)a*(LD)b)/(LD)m);ll r=a*b-q*m;if(r>m)r%=m;if(r<0)r+=m;return r;}
template<typename T>T expo(T e, T n){T x=1,p=e;while(n){if(n&1)x=x*p;p=p*p;n>>=1;}return x;}
template<typename T>T power(T e, T n, T m = MOD){T x=1,p=e;while(n){if(n&1)x=mul(x,p,m);p=mul(p,p,m);n>>=1;}return x;}
template<typename T>T extended_euclid(T a, T b, T &x, T &y){T xx=0,yy=1;y=0;x=1;while(b){T q=a/b,t=b;b=a%b;a=t;\
t=xx;xx=x-q*xx;x=t;t=yy;yy=y-q*yy;y=t;}return a;}
template<typename T>T mod_inverse(T a, T n = MOD){T x,y,z=0;T d=extended_euclid(a,n,x,y);return(d>1?-1:mod_neg(x,z,n));}
 
const int FACSZ = 1; // Make sure to change this
 
int fact[FACSZ],ifact[FACSZ];
 
void precom(int c = MOD){
    fact[0] = 1;
    FOR(i,1,FACSZ) fact[i] = mul(fact[i-1],i,c);
    ifact[FACSZ-1] = mod_inverse(fact[FACSZ-1],c);
    REPD(i,FACSZ-1){
        ifact[i] = mul(i+1,ifact[i+1],c);
    }
}
 
int ncr(int n,int r,int c = MOD){
    return mul(mul(ifact[r],ifact[n-r],c),fact[n],c);
} 
*/

// ----------------------</MATH>--------------------------
// --------------------------------------------------</TEMPLATE>--------------------------------------------------
 
void solvethetestcase();
 
signed main(){
    // comment when using scanf,printf
    FAST_IO

    int t = 1;
    // (UNCOMMENT FOR MULTIPLE TEST CASES) \
    cin >> t;
    FOR(testcase,1,t+1){
        // (UNCOMMENT FOR CODEJAM) \
        printf("Case #%lld: ",testcase); 
        solvethetestcase();
    }
}   
 
int n,q;
int a[MAXN],b[MAXN],c[MAXN];
int ans[MAXN];
pair<pii,int> quer[MAXN];

bool cmp(pair<pii,int> x, pair<pii,int> y){
    return x.F.S < y.F.S;
}
vpii v;
vpii trigger[MAXN];

pii seg[4*MAXN];
int lazy[4*MAXN];

void push(int node,int l,int r){
	if(l != r){
		remax(lazy[node*2],lazy[node]);
		remax(lazy[node*2+1],lazy[node]);
	}
	remax(seg[node].S,seg[node].F+lazy[node]);
	lazy[node] = 0;
}

void upd1(int node,int l,int r,int pos,int val){
	push(node,l,r);
	if(l > pos or r < pos) return;
	if(l == r){
		remax(seg[node].F,val);
		return;
	}
	int m = (l+r)/2;
	upd1(2*node,l,m,pos,val);
	upd1(2*node+1,m+1,r,pos,val);
	seg[node].F = max(seg[2*node].F,seg[2*node+1].F);
	seg[node].S = max(seg[2*node].S,seg[2*node+1].S);
	// trace(1,node,l,r,seg[node].F,seg[node].S);
}

void upd2(int node,int l,int r,int x,int y,int val){
	push(node,l,r);
	if(x > r or y < l) return;
	if(l >= x and r <= y){
		remax(lazy[node],val);
		push(node,l,r);
		return;
	}
	int m = (l+r)/2;
	upd2(2*node,l,m,x,y,val);
	upd2(2*node+1,m+1,r,x,y,val);
	seg[node].F = max(seg[2*node].F,seg[2*node+1].F);
	seg[node].S = max(seg[2*node].S,seg[2*node+1].S);
	// trace(2,node,l,r,seg[node].F,seg[node].S);
}

int query(int node,int l,int r,int x,int y){
	push(node,l,r);
	if(x > r or y < l) return 0;
	if(l >= x and r <= y){
		// trace(3,node,l,r,seg[node].F,seg[node].S);
		return seg[node].S;
	}
	int m = (l+r)/2;
	// trace(node,l,r,seg[node].F,seg[node].S);
	return max(query(2*node,l,m,x,y),query(2*node+1,m+1,r,x,y));
} 

void solvethetestcase(){
    cin >> n;
    FOR(i,1,n+1){
        cin >> a[i];
        v.pb({i,i+1});
    }
    cin >> q;
    FOR(i,1,q+1){
        cin >> quer[i].F.F >> quer[i].F.S;
        quer[i].S = i;
    }
    sort(quer+1,quer+1+q,cmp);
    stack<int> s;
    FOR(i,1,n+1){
        while(s.size() and a[s.top()] <= a[i]){
            v.pb({s.top(),i});
            s.pop();
        }
        s.push(i);
    }
    while(s.size()) s.pop();
    FORD(i,n,1){
        while(s.size() and a[s.top()] <= a[i]){
            v.pb({i,s.top()});
            s.pop();
        }
        s.push(i);
    }
    for(auto x:v){
    	if(2*x.S-x.F <= n){
    		trigger[2*x.S-x.F].pb(x);
    	}
    }
    int cur = 1;
    FOR(i,1,q+1){
    	while(cur <= quer[i].F.S){
    		for(auto x:trigger[cur]){
    			upd1(1,1,n,x.F,a[x.F]+a[x.S]);
    		}
    		upd2(1,1,n,1,cur-1,a[cur]);
    		cur++;
    	}
    	ans[quer[i].S] = query(1,1,n,quer[i].F.F,quer[i].F.S);
    	// cout << quer[i].S << " " << ans[quer[i].S]  << endl;
    }
    FOR(i,1,q+1) cout << ans[i] << endl;
}

Compilation message

jumps.cpp:24:1: warning: multi-line comment [-Wcomment]
 // typedef tree<int,null_type,less<int>,rb_tree_tag, \
 ^
jumps.cpp:188:5: warning: multi-line comment [-Wcomment]
     // (UNCOMMENT FOR MULTIPLE TEST CASES) \
     ^
jumps.cpp:191:9: warning: multi-line comment [-Wcomment]
         // (UNCOMMENT FOR CODEJAM) \
         ^

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 12160 KB Output is correct
2 Correct 8 ms 12160 KB Output is correct
3 Correct 8 ms 12160 KB Output is correct
4 Correct 9 ms 12160 KB Output is correct
5 Correct 8 ms 12160 KB Output is correct
6 Correct 9 ms 12160 KB Output is correct
7 Correct 8 ms 12160 KB Output is correct
8 Correct 8 ms 12160 KB Output is correct
9 Correct 9 ms 12160 KB Output is correct
10 Correct 8 ms 12160 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 12160 KB Output is correct
2 Correct 8 ms 12160 KB Output is correct
3 Correct 8 ms 12160 KB Output is correct
4 Correct 9 ms 12160 KB Output is correct
5 Correct 8 ms 12160 KB Output is correct
6 Correct 9 ms 12160 KB Output is correct
7 Correct 8 ms 12160 KB Output is correct
8 Correct 8 ms 12160 KB Output is correct
9 Correct 9 ms 12160 KB Output is correct
10 Correct 8 ms 12160 KB Output is correct
11 Correct 1296 ms 35188 KB Output is correct
12 Correct 1315 ms 34876 KB Output is correct
13 Correct 1345 ms 34964 KB Output is correct
14 Correct 1342 ms 35276 KB Output is correct
15 Correct 1369 ms 35192 KB Output is correct
16 Correct 1339 ms 34680 KB Output is correct
17 Correct 1313 ms 34808 KB Output is correct
18 Correct 1309 ms 34652 KB Output is correct
19 Correct 1305 ms 35148 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 388 ms 52796 KB Output is correct
2 Correct 278 ms 44740 KB Output is correct
3 Correct 258 ms 43092 KB Output is correct
4 Correct 360 ms 52928 KB Output is correct
5 Correct 373 ms 52800 KB Output is correct
6 Correct 361 ms 52668 KB Output is correct
7 Correct 343 ms 52544 KB Output is correct
8 Correct 352 ms 52672 KB Output is correct
9 Correct 383 ms 52800 KB Output is correct

Subtask #4
54.0 / 54.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 12160 KB Output is correct
2 Correct 8 ms 12160 KB Output is correct
3 Correct 8 ms 12160 KB Output is correct
4 Correct 9 ms 12160 KB Output is correct
5 Correct 8 ms 12160 KB Output is correct
6 Correct 9 ms 12160 KB Output is correct
7 Correct 8 ms 12160 KB Output is correct
8 Correct 8 ms 12160 KB Output is correct
9 Correct 9 ms 12160 KB Output is correct
10 Correct 8 ms 12160 KB Output is correct
11 Correct 1296 ms 35188 KB Output is correct
12 Correct 1315 ms 34876 KB Output is correct
13 Correct 1345 ms 34964 KB Output is correct
14 Correct 1342 ms 35276 KB Output is correct
15 Correct 1369 ms 35192 KB Output is correct
16 Correct 1339 ms 34680 KB Output is correct
17 Correct 1313 ms 34808 KB Output is correct
18 Correct 1309 ms 34652 KB Output is correct
19 Correct 1305 ms 35148 KB Output is correct
20 Correct 388 ms 52796 KB Output is correct
21 Correct 278 ms 44740 KB Output is correct
22 Correct 258 ms 43092 KB Output is correct
23 Correct 360 ms 52928 KB Output is correct
24 Correct 373 ms 52800 KB Output is correct
25 Correct 361 ms 52668 KB Output is correct
26 Correct 343 ms 52544 KB Output is correct
27 Correct 352 ms 52672 KB Output is correct
28 Correct 383 ms 52800 KB Output is correct
29 Correct 2532 ms 126788 KB Output is correct
30 Correct 2536 ms 108408 KB Output is correct
31 Correct 2643 ms 104720 KB Output is correct
32 Correct 2701 ms 129180 KB Output is correct
33 Correct 2899 ms 129060 KB Output is correct
34 Correct 2933 ms 128528 KB Output is correct
35 Correct 3222 ms 128384 KB Output is correct
36 Correct 2593 ms 128572 KB Output is correct
37 Correct 2595 ms 129020 KB Output is correct
38 Correct 2419 ms 129268 KB Output is correct
39 Correct 2310 ms 129016 KB Output is correct
40 Correct 2374 ms 127596 KB Output is correct
41 Correct 2357 ms 127020 KB Output is correct
42 Correct 2348 ms 127276 KB Output is correct
43 Correct 2414 ms 127836 KB Output is correct
44 Correct 2569 ms 129028 KB Output is correct
45 Correct 2530 ms 128808 KB Output is correct
46 Correct 2479 ms 125672 KB Output is correct
47 Correct 2586 ms 125696 KB Output is correct
48 Correct 2530 ms 125700 KB Output is correct
49 Correct 2419 ms 126544 KB Output is correct
50 Correct 2399 ms 126992 KB Output is correct
51 Correct 2616 ms 127160 KB Output is correct
52 Correct 2579 ms 126400 KB Output is correct
53 Correct 2623 ms 126364 KB Output is correct
54 Correct 2524 ms 126208 KB Output is correct
55 Correct 2382 ms 126612 KB Output is correct