답안 #134496

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
134496 2019-07-22T21:10:08 Z Benq Cultivation (JOI17_cultivation) C++14
100 / 100
1849 ms 13408 KB
#pragma GCC optimize ("O3")
#pragma GCC target ("sse4")

#include <bits/stdc++.h>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/rope>

using namespace std;
using namespace __gnu_pbds;
using namespace __gnu_cxx;
 
typedef long long ll;
typedef long double ld;
typedef complex<ld> cd;

typedef pair<int, int> pi;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pd;

typedef vector<int> vi;
typedef vector<ld> vd;
typedef vector<ll> vl;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<cd> vcd;

template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag,tree_order_statistics_node_update>;

#define FOR(i, a, b) for (int i = (a); i < (b); i++)
#define F0R(i, a) for (int i = 0; i < (a); i++)
#define FORd(i,a,b) for (int i = (b)-1; i >= (a); i--)
#define F0Rd(i,a) for (int i = (a)-1; i >= 0; i--)
#define trav(a, x) for (auto& a : x)

#define mp make_pair
#define pb push_back
#define f first
#define s second
#define lb lower_bound
#define ub upper_bound

#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rsz resize

const int MOD = 1000000007; // 998244353
const ll INF = 1e18;
const int MX = 200005;
const ld PI = 4*atan((ld)1);

template<class T> void ckmin(T &a, T b) { a = min(a, b); }
template<class T> void ckmax(T &a, T b) { a = max(a, b); }

namespace input {
    template<class T> void re(complex<T>& x);
    template<class T1, class T2> void re(pair<T1,T2>& p);
    template<class T> void re(vector<T>& a);
    template<class T, size_t SZ> void re(array<T,SZ>& a);

    template<class T> void re(T& x) { cin >> x; }
    void re(double& x) { string t; re(t); x = stod(t); }
    void re(ld& x) { string t; re(t); x = stold(t); }
    template<class Arg, class... Args> void re(Arg& first, Args&... rest) { 
        re(first); re(rest...); 
    }

    template<class T> void re(complex<T>& x) { T a,b; re(a,b); x = cd(a,b); }
    template<class T1, class T2> void re(pair<T1,T2>& p) { re(p.f,p.s); }
    template<class T> void re(vector<T>& a) { F0R(i,sz(a)) re(a[i]); }
    template<class T, size_t SZ> void re(array<T,SZ>& a) { F0R(i,SZ) re(a[i]); }
}

using namespace input;

namespace output {
    template<class T1, class T2> void pr(const pair<T1,T2>& x);
    template<class T, size_t SZ> void pr(const array<T,SZ>& x);
    template<class T> void pr(const vector<T>& x);
    template<class T> void pr(const set<T>& x);
    template<class T1, class T2> void pr(const map<T1,T2>& x);

    template<class T> void pr(const T& x) { cout << x; }
    template<class Arg, class... Args> void pr(const Arg& first, const Args&... rest) { 
        pr(first); pr(rest...); 
    }

    template<class T1, class T2> void pr(const pair<T1,T2>& x) { 
        pr("{",x.f,", ",x.s,"}"); 
    }
    template<class T> void prContain(const T& x) {
        pr("{");
        bool fst = 1; for (const auto& a: x) pr(!fst?", ":"",a), fst = 0; // const needed for vector<bool>
        pr("}");
    }
    template<class T, size_t SZ> void pr(const array<T,SZ>& x) { prContain(x); }
    template<class T> void pr(const vector<T>& x) { prContain(x); }
    template<class T> void pr(const set<T>& x) { prContain(x); }
    template<class T1, class T2> void pr(const map<T1,T2>& x) { prContain(x); }
    
    void ps() { pr("\n"); }
    template<class Arg> void ps(const Arg& first) { 
        pr(first); ps(); // no space at end of line
    }
    template<class Arg, class... Args> void ps(const Arg& first, const Args&... rest) { 
        pr(first," "); ps(rest...); // print w/ spaces
    }
}

using namespace output;

namespace io {
    void setIn(string s) { freopen(s.c_str(),"r",stdin); }
    void setOut(string s) { freopen(s.c_str(),"w",stdout); }
    void setIO(string s = "") {
        ios_base::sync_with_stdio(0); cin.tie(0); // fast I/O
        if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
    }
}

using namespace io;

template<class T> T invGeneral(T a, T b) {
    a %= b; if (a == 0) return b == 1 ? 0 : -1;
    T x = invGeneral(b,a); 
    return x == -1 ? -1 : ((1-(ll)b*x)/a+b)%b;
}

template<class T> struct modular {
    T val; 
    explicit operator T() const { return val; }
    modular() { val = 0; }
    modular(const ll& v) { 
        val = (-MOD <= v && v <= MOD) ? v : v % MOD;
        if (val < 0) val += MOD;
    }
    
    friend ostream& operator<<(ostream& os, const modular& a) { return os << a.val; }
    friend bool operator==(const modular& a, const modular& b) { return a.val == b.val; }
    friend bool operator!=(const modular& a, const modular& b) { return !(a == b); }
    friend bool operator<(const modular& a, const modular& b) { return a.val < b.val; }

    modular operator-() const { return modular(-val); }
    modular& operator+=(const modular& m) { if ((val += m.val) >= MOD) val -= MOD; return *this; }
    modular& operator-=(const modular& m) { if ((val -= m.val) < 0) val += MOD; return *this; }
    modular& operator*=(const modular& m) { val = (ll)val*m.val%MOD; return *this; }
    friend modular pow(modular a, ll p) {
        modular ans = 1; for (; p; p /= 2, a *= a) if (p&1) ans *= a;
        return ans;
    }
    friend modular inv(const modular& a) { 
        auto i = invGeneral(a.val,MOD); assert(i != -1);
        return i;
    } // equivalent to return exp(b,MOD-2) if MOD is prime
    modular& operator/=(const modular& m) { return (*this) *= inv(m); }
    
    friend modular operator+(modular a, const modular& b) { return a += b; }
    friend modular operator-(modular a, const modular& b) { return a -= b; }
    friend modular operator*(modular a, const modular& b) { return a *= b; }
    
    friend modular operator/(modular a, const modular& b) { return a /= b; }
};

typedef modular<int> mi;
typedef pair<mi,mi> pmi;
typedef vector<mi> vmi;
typedef vector<pmi> vpmi;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
 
int R,C,N;
ll ans = INF;
vpl p;
vl totest;

struct con {
	multiset<int> cur, cdif;
	array<int,3> ans = {MOD,MOD,MOD};
	
	array<int,3> ret() {
	    if (!sz(cur)) return {MOD,MOD,MOD};
	    int dif = sz(cdif)?*cdif.rbegin():0;
	    dif = max(dif,max(*cur.begin(),C-1-*cur.rbegin()));
	    return {*cur.begin(),C-1-*cur.rbegin(),dif};
	}
 
	void process(int x) {
		auto it = cur.insert(x);
        if (it != cur.begin() && next(it) != cur.end()) cdif.erase(cdif.find(*next(it)-*prev(it)-1));
        if (it != cur.begin()) cdif.insert(*it-*prev(it)-1);
        if (next(it) != cur.end()) cdif.insert(*next(it)-*it-1);
        ans = ret();
	}
};
 
con c[300][2];
int l[300][2], r[300][2];
 
// p[i].f: find all j such that p[j].f <= p[i].f && p[j].f+r >= p[i].f 
// p[i].f+r+1: find all j such that p[j].f > p[i].f && p[j].f <= p[i].f+r+1

vector<array<ll,4>> todo;

void init() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    cin >> R >> C >> N; p.resize(N);
    F0R(i,N) {
        cin >> p[i].f >> p[i].s;
        p[i].f --, p[i].s --;
    }
    sort(all(p));
    F0R(i,N) F0R(j,N) totest.pb(p[i].f+R-1-p[j].f);
    F0R(i,N) F0R(j,N) totest.pb(max(p[i].f-p[j].f-1,0LL));
    sort(all(totest)); totest.erase(unique(all(totest)),totest.end());
    F0R(i,N) {
    	F0R(j,N) {
    		if (p[j].f <= p[i].f) todo.pb({p[i].f-p[j].f,p[j].s,i,0});
    		else todo.pb({p[j].f-p[i].f-1,p[j].s,i,1});
    	}
    }
    sort(all(todo)); reverse(all(todo));
}
 
struct MaxDeque {
	pi d[600];
	int l, r;
    void ad(int ind, int val) {
        while (r >= l && d[r].f <= val) r --;
        d[++r] = {val,ind};
    }
    void rem(int ind) {
        if (d[l].s == ind) l ++;
    }
    int get() { return d[l].f; }
};

void upd(int r) {
	while (sz(todo) && todo.back()[0] <= r) {
		c[todo.back()[2]][todo.back()[3]].process(todo.back()[1]);
		todo.pop_back();
	}
}

pair<int,array<int,3>> dat[600];
MaxDeque D[3]; 

void tri(int r) {
    upd(r);
    int sz = 0;
    int i0 = 0, i1 = 0;
    while (i1 < N) {
    	if (i0 != N && p[i0].f <= p[i1].f+r+1) {
    		if (!sz || dat[sz-1].f != p[i0].f)
    			dat[sz++] = {p[i0].f,c[i0][0].ans};
        	i0 ++;
    	} else {
    		if (!sz || dat[sz-1].f != p[i1].f+r+1) 
    			dat[sz++] = {p[i1].f+r+1,c[i1][1].ans};
        	i1 ++;
    	} 
    }
    F0R(i,3) D[i].l = 0, D[i].r = -1;
    int nex = 0;
    F0R(i,sz) if (dat[i].f <= r) {
        while (nex < sz && dat[nex].f < dat[i].f+R) {
            F0R(j,3) D[j].ad(nex,dat[nex].s[j]);
            nex ++;
        }
        if (D[0].get() < MOD) ans = min(ans,(ll)r+max(D[0].get()+D[1].get(),D[2].get()));
        F0R(j,3) D[j].rem(i);
    } else break;
}
 
int main() {
    init();
    clock_t ori = clock();
    for (int i: totest) {
    	if ((double)(clock()-ori) > 1.8*CLOCKS_PER_SEC) break;
    	tri(i);
    }
    cout << ans;
}
 
/* Look for:
* the exact constraints (multiple sets are too slow for n=10^6 :( ) 
* special cases (n=1?)
* overflow (ll vs int?)
* array bounds
*/

Compilation message

cultivation.cpp: In function 'void io::setIn(std::__cxx11::string)':
cultivation.cpp:113:35: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     void setIn(string s) { freopen(s.c_str(),"r",stdin); }
                            ~~~~~~~^~~~~~~~~~~~~~~~~~~~~
cultivation.cpp: In function 'void io::setOut(std::__cxx11::string)':
cultivation.cpp:114:36: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
     void setOut(string s) { freopen(s.c_str(),"w",stdout); }
                             ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 380 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 504 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 504 KB Output is correct
6 Correct 2 ms 504 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 504 KB Output is correct
9 Correct 2 ms 504 KB Output is correct
10 Correct 2 ms 504 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 504 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 508 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 380 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 504 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 504 KB Output is correct
6 Correct 2 ms 504 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 504 KB Output is correct
9 Correct 2 ms 504 KB Output is correct
10 Correct 2 ms 504 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 504 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 508 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 504 KB Output is correct
18 Correct 5 ms 1008 KB Output is correct
19 Correct 3 ms 504 KB Output is correct
20 Correct 2 ms 504 KB Output is correct
21 Correct 4 ms 764 KB Output is correct
22 Correct 14 ms 2416 KB Output is correct
23 Correct 3 ms 632 KB Output is correct
24 Correct 40 ms 6124 KB Output is correct
25 Correct 23 ms 3564 KB Output is correct
26 Correct 103 ms 13024 KB Output is correct
27 Correct 102 ms 13156 KB Output is correct
28 Correct 40 ms 6116 KB Output is correct
29 Correct 105 ms 13096 KB Output is correct
30 Correct 102 ms 13148 KB Output is correct
31 Correct 105 ms 13024 KB Output is correct
32 Correct 123 ms 13120 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 380 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 504 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 504 KB Output is correct
6 Correct 2 ms 504 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 504 KB Output is correct
9 Correct 2 ms 504 KB Output is correct
10 Correct 2 ms 504 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 504 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 508 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 504 KB Output is correct
18 Correct 5 ms 1008 KB Output is correct
19 Correct 3 ms 504 KB Output is correct
20 Correct 2 ms 504 KB Output is correct
21 Correct 4 ms 764 KB Output is correct
22 Correct 14 ms 2416 KB Output is correct
23 Correct 3 ms 632 KB Output is correct
24 Correct 40 ms 6124 KB Output is correct
25 Correct 23 ms 3564 KB Output is correct
26 Correct 103 ms 13024 KB Output is correct
27 Correct 102 ms 13156 KB Output is correct
28 Correct 40 ms 6116 KB Output is correct
29 Correct 105 ms 13096 KB Output is correct
30 Correct 102 ms 13148 KB Output is correct
31 Correct 105 ms 13024 KB Output is correct
32 Correct 123 ms 13120 KB Output is correct
33 Correct 82 ms 13104 KB Output is correct
34 Correct 71 ms 13124 KB Output is correct
35 Correct 97 ms 13120 KB Output is correct
36 Correct 100 ms 13080 KB Output is correct
37 Correct 94 ms 13284 KB Output is correct
38 Correct 89 ms 13156 KB Output is correct
39 Correct 91 ms 13148 KB Output is correct
40 Correct 94 ms 13052 KB Output is correct
41 Correct 89 ms 13156 KB Output is correct
42 Correct 93 ms 13168 KB Output is correct
43 Correct 91 ms 13152 KB Output is correct
44 Correct 97 ms 13064 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 504 KB Output is correct
2 Correct 4 ms 504 KB Output is correct
3 Correct 4 ms 504 KB Output is correct
4 Correct 4 ms 504 KB Output is correct
5 Correct 5 ms 504 KB Output is correct
6 Correct 3 ms 504 KB Output is correct
7 Correct 2 ms 508 KB Output is correct
8 Correct 4 ms 504 KB Output is correct
9 Correct 3 ms 504 KB Output is correct
10 Correct 4 ms 504 KB Output is correct
11 Correct 4 ms 504 KB Output is correct
12 Correct 4 ms 504 KB Output is correct
13 Correct 3 ms 504 KB Output is correct
14 Correct 3 ms 504 KB Output is correct
15 Correct 3 ms 504 KB Output is correct
16 Correct 5 ms 504 KB Output is correct
17 Correct 4 ms 504 KB Output is correct
18 Correct 4 ms 504 KB Output is correct
19 Correct 5 ms 504 KB Output is correct
20 Correct 4 ms 376 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 504 KB Output is correct
2 Correct 4 ms 504 KB Output is correct
3 Correct 4 ms 504 KB Output is correct
4 Correct 4 ms 504 KB Output is correct
5 Correct 5 ms 504 KB Output is correct
6 Correct 3 ms 504 KB Output is correct
7 Correct 2 ms 508 KB Output is correct
8 Correct 4 ms 504 KB Output is correct
9 Correct 3 ms 504 KB Output is correct
10 Correct 4 ms 504 KB Output is correct
11 Correct 4 ms 504 KB Output is correct
12 Correct 4 ms 504 KB Output is correct
13 Correct 3 ms 504 KB Output is correct
14 Correct 3 ms 504 KB Output is correct
15 Correct 3 ms 504 KB Output is correct
16 Correct 5 ms 504 KB Output is correct
17 Correct 4 ms 504 KB Output is correct
18 Correct 4 ms 504 KB Output is correct
19 Correct 5 ms 504 KB Output is correct
20 Correct 4 ms 376 KB Output is correct
21 Correct 62 ms 1776 KB Output is correct
22 Correct 98 ms 1908 KB Output is correct
23 Correct 81 ms 2004 KB Output is correct
24 Correct 85 ms 1824 KB Output is correct
25 Correct 97 ms 1772 KB Output is correct
26 Correct 44 ms 1908 KB Output is correct
27 Correct 95 ms 1776 KB Output is correct
28 Correct 97 ms 2004 KB Output is correct
29 Correct 95 ms 1776 KB Output is correct
30 Correct 103 ms 1892 KB Output is correct
31 Correct 106 ms 1904 KB Output is correct
32 Correct 94 ms 1776 KB Output is correct
33 Correct 74 ms 1908 KB Output is correct
34 Correct 98 ms 1776 KB Output is correct
35 Correct 95 ms 1928 KB Output is correct
36 Correct 85 ms 1904 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 380 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 504 KB Output is correct
4 Correct 2 ms 376 KB Output is correct
5 Correct 2 ms 504 KB Output is correct
6 Correct 2 ms 504 KB Output is correct
7 Correct 2 ms 376 KB Output is correct
8 Correct 2 ms 504 KB Output is correct
9 Correct 2 ms 504 KB Output is correct
10 Correct 2 ms 504 KB Output is correct
11 Correct 2 ms 376 KB Output is correct
12 Correct 2 ms 504 KB Output is correct
13 Correct 2 ms 376 KB Output is correct
14 Correct 2 ms 376 KB Output is correct
15 Correct 2 ms 508 KB Output is correct
16 Correct 2 ms 376 KB Output is correct
17 Correct 2 ms 504 KB Output is correct
18 Correct 5 ms 1008 KB Output is correct
19 Correct 3 ms 504 KB Output is correct
20 Correct 2 ms 504 KB Output is correct
21 Correct 4 ms 764 KB Output is correct
22 Correct 14 ms 2416 KB Output is correct
23 Correct 3 ms 632 KB Output is correct
24 Correct 40 ms 6124 KB Output is correct
25 Correct 23 ms 3564 KB Output is correct
26 Correct 103 ms 13024 KB Output is correct
27 Correct 102 ms 13156 KB Output is correct
28 Correct 40 ms 6116 KB Output is correct
29 Correct 105 ms 13096 KB Output is correct
30 Correct 102 ms 13148 KB Output is correct
31 Correct 105 ms 13024 KB Output is correct
32 Correct 123 ms 13120 KB Output is correct
33 Correct 82 ms 13104 KB Output is correct
34 Correct 71 ms 13124 KB Output is correct
35 Correct 97 ms 13120 KB Output is correct
36 Correct 100 ms 13080 KB Output is correct
37 Correct 94 ms 13284 KB Output is correct
38 Correct 89 ms 13156 KB Output is correct
39 Correct 91 ms 13148 KB Output is correct
40 Correct 94 ms 13052 KB Output is correct
41 Correct 89 ms 13156 KB Output is correct
42 Correct 93 ms 13168 KB Output is correct
43 Correct 91 ms 13152 KB Output is correct
44 Correct 97 ms 13064 KB Output is correct
45 Correct 3 ms 504 KB Output is correct
46 Correct 4 ms 504 KB Output is correct
47 Correct 4 ms 504 KB Output is correct
48 Correct 4 ms 504 KB Output is correct
49 Correct 5 ms 504 KB Output is correct
50 Correct 3 ms 504 KB Output is correct
51 Correct 2 ms 508 KB Output is correct
52 Correct 4 ms 504 KB Output is correct
53 Correct 3 ms 504 KB Output is correct
54 Correct 4 ms 504 KB Output is correct
55 Correct 4 ms 504 KB Output is correct
56 Correct 4 ms 504 KB Output is correct
57 Correct 3 ms 504 KB Output is correct
58 Correct 3 ms 504 KB Output is correct
59 Correct 3 ms 504 KB Output is correct
60 Correct 5 ms 504 KB Output is correct
61 Correct 4 ms 504 KB Output is correct
62 Correct 4 ms 504 KB Output is correct
63 Correct 5 ms 504 KB Output is correct
64 Correct 4 ms 376 KB Output is correct
65 Correct 62 ms 1776 KB Output is correct
66 Correct 98 ms 1908 KB Output is correct
67 Correct 81 ms 2004 KB Output is correct
68 Correct 85 ms 1824 KB Output is correct
69 Correct 97 ms 1772 KB Output is correct
70 Correct 44 ms 1908 KB Output is correct
71 Correct 95 ms 1776 KB Output is correct
72 Correct 97 ms 2004 KB Output is correct
73 Correct 95 ms 1776 KB Output is correct
74 Correct 103 ms 1892 KB Output is correct
75 Correct 106 ms 1904 KB Output is correct
76 Correct 94 ms 1776 KB Output is correct
77 Correct 74 ms 1908 KB Output is correct
78 Correct 98 ms 1776 KB Output is correct
79 Correct 95 ms 1928 KB Output is correct
80 Correct 85 ms 1904 KB Output is correct
81 Correct 917 ms 7312 KB Output is correct
82 Correct 921 ms 7276 KB Output is correct
83 Correct 1043 ms 9184 KB Output is correct
84 Correct 1257 ms 9324 KB Output is correct
85 Correct 1847 ms 13316 KB Output is correct
86 Correct 1846 ms 13300 KB Output is correct
87 Correct 1481 ms 13408 KB Output is correct
88 Correct 1716 ms 13084 KB Output is correct
89 Correct 1846 ms 13196 KB Output is correct
90 Correct 1320 ms 10772 KB Output is correct
91 Correct 1849 ms 13408 KB Output is correct
92 Correct 1846 ms 13280 KB Output is correct
93 Correct 1847 ms 13280 KB Output is correct
94 Correct 1847 ms 13280 KB Output is correct
95 Correct 1846 ms 13300 KB Output is correct
96 Correct 1845 ms 13380 KB Output is correct
97 Correct 1847 ms 13324 KB Output is correct
98 Correct 79 ms 13152 KB Output is correct