oj.uz

Submission #253730

# Submission time Handle Problem Language Result Execution time Memory
253730 2020-07-28T15:18:13 Z b00n0rp Triple Jump (JOI19_jumps) C++17
100 / 100
 2848 ms 126108 KB 
// --------------------------------------------------<TEMPLATE>--------------------------------------------------
// --------------------<optimizations>--------------------

#pragma GCC target("avx,avx2,fma")

/*
#pragma GCC optimize("Ofast,unroll-loops")
*/ 

// -------------------</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:25:1: warning: multi-line comment [-Wcomment]
 // typedef tree<int,null_type,less<int>,rb_tree_tag, \
 ^
jumps.cpp:189:5: warning: multi-line comment [-Wcomment]
     // (UNCOMMENT FOR MULTIPLE TEST CASES) \
     ^
jumps.cpp:192:9: warning: multi-line comment [-Wcomment]
         // (UNCOMMENT FOR CODEJAM) \
         ^

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 8 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 12 ms 12160 KB Output is correct
5 Correct 14 ms 12160 KB Output is correct
6 Correct 10 ms 12160 KB Output is correct
7 Correct 9 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 8 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 12 ms 12160 KB Output is correct
5 Correct 14 ms 12160 KB Output is correct
6 Correct 10 ms 12160 KB Output is correct
7 Correct 9 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 1339 ms 34520 KB Output is correct
12 Correct 1651 ms 34292 KB Output is correct
13 Correct 1351 ms 34188 KB Output is correct
14 Correct 1535 ms 34484 KB Output is correct
15 Correct 1468 ms 34524 KB Output is correct
16 Correct 1346 ms 33768 KB Output is correct
17 Correct 1572 ms 33844 KB Output is correct
18 Correct 1462 ms 33736 KB Output is correct
19 Correct 1749 ms 34328 KB Output is correct

Subtask #3
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 388 ms 51992 KB Output is correct
2 Correct 282 ms 43860 KB Output is correct
3 Correct 291 ms 42196 KB Output is correct
4 Correct 373 ms 51904 KB Output is correct
5 Correct 352 ms 51904 KB Output is correct
6 Correct 356 ms 51648 KB Output is correct
7 Correct 365 ms 51644 KB Output is correct
8 Correct 372 ms 51776 KB Output is correct
9 Correct 362 ms 51652 KB Output is correct

Subtask #4
54.0 / 54.0

# Verdict Execution time Memory Grader output
1 Correct 8 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 12 ms 12160 KB Output is correct
5 Correct 14 ms 12160 KB Output is correct
6 Correct 10 ms 12160 KB Output is correct
7 Correct 9 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 1339 ms 34520 KB Output is correct
12 Correct 1651 ms 34292 KB Output is correct
13 Correct 1351 ms 34188 KB Output is correct
14 Correct 1535 ms 34484 KB Output is correct
15 Correct 1468 ms 34524 KB Output is correct
16 Correct 1346 ms 33768 KB Output is correct
17 Correct 1572 ms 33844 KB Output is correct
18 Correct 1462 ms 33736 KB Output is correct
19 Correct 1749 ms 34328 KB Output is correct
20 Correct 388 ms 51992 KB Output is correct
21 Correct 282 ms 43860 KB Output is correct
22 Correct 291 ms 42196 KB Output is correct
23 Correct 373 ms 51904 KB Output is correct
24 Correct 352 ms 51904 KB Output is correct
25 Correct 356 ms 51648 KB Output is correct
26 Correct 365 ms 51644 KB Output is correct
27 Correct 372 ms 51776 KB Output is correct
28 Correct 362 ms 51652 KB Output is correct
29 Correct 2578 ms 125492 KB Output is correct
30 Correct 2373 ms 104608 KB Output is correct
31 Correct 2388 ms 100752 KB Output is correct
32 Correct 2550 ms 125104 KB Output is correct
33 Correct 2636 ms 125272 KB Output is correct
34 Correct 2626 ms 124776 KB Output is correct
35 Correct 2718 ms 124844 KB Output is correct
36 Correct 2685 ms 124624 KB Output is correct
37 Correct 2731 ms 125400 KB Output is correct
38 Correct 2494 ms 125364 KB Output is correct
39 Correct 2466 ms 125256 KB Output is correct
40 Correct 2425 ms 123520 KB Output is correct
41 Correct 2351 ms 123264 KB Output is correct
42 Correct 2455 ms 123376 KB Output is correct
43 Correct 2519 ms 124360 KB Output is correct
44 Correct 2600 ms 125188 KB Output is correct
45 Correct 2467 ms 125276 KB Output is correct
46 Correct 2371 ms 123928 KB Output is correct
47 Correct 2524 ms 123484 KB Output is correct
48 Correct 2415 ms 123916 KB Output is correct
49 Correct 2461 ms 125568 KB Output is correct
50 Correct 2486 ms 126108 KB Output is correct
51 Correct 2492 ms 126004 KB Output is correct
52 Correct 2564 ms 125076 KB Output is correct
53 Correct 2830 ms 124956 KB Output is correct
54 Correct 2848 ms 125028 KB Output is correct
55 Correct 2540 ms 125616 KB Output is correct