Submission #293319

# Submission time Handle Problem Language Result Execution time Memory
293319 2020-09-07T21:30:50 Z b00n0rp Building 4 (JOI20_building4) C++17
100 / 100
345 ms 48384 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>=a) && (i<=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>-------------------
#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 = 1000005;
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;
int a[MAXN][2];
pii dp[MAXN][2];

int ans[MAXN];
 
void solvethetestcase(){
    cin >> n;
    n *= 2;
    FOR(i,1,n+1) cin >> a[i][0];
    FOR(i,1,n+1) cin >> a[i][1];
    FOR(i,1,n+1){
        dp[i][0] = {2*n,-2*n};
        dp[i][1] = {2*n,-2*n};
        if(a[i][0] >= a[i-1][0]){
            remin(dp[i][0].F,dp[i-1][0].F+1);
            remax(dp[i][0].S,dp[i-1][0].S+1);
        }
        if(a[i][0] >= a[i-1][1]){
            remin(dp[i][0].F,dp[i-1][1].F+1);
            remax(dp[i][0].S,dp[i-1][1].S+1);
        }
        if(a[i][1] >= a[i-1][0]){
            remin(dp[i][1].F,dp[i-1][0].F);
            remax(dp[i][1].S,dp[i-1][0].S);
        }
        if(a[i][1] >= a[i-1][1]){
            remin(dp[i][1].F,dp[i-1][1].F);
            remax(dp[i][1].S,dp[i-1][1].S);
        }
        // trace(i,dp[i][0].F,dp[i][0].S,dp[i][1].F,dp[i][1].S);
    }
    int type;
    if(inrange(n/2,dp[n][0].F,dp[n][0].S)) type = 0;
    else if(inrange(n/2,dp[n][1].F,dp[n][1].S)) type = 1;
    else{
        cout << "-1\n";
        return;
    }
    int left = n/2;
    FORD(i,n,1){
        ans[i] = type;
        left -= (type == 0);
        if(a[i][type] >= a[i-1][0] and inrange(left,dp[i-1][0].F,dp[i-1][0].S)) type = 0;
        else type = 1;
    }
    FOR(i,1,n+1){
        if(ans[i]) cout << "B";
        else cout << "A";
    }
    cout << "\n";
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 2 ms 512 KB Output is correct
6 Correct 2 ms 512 KB Output is correct
7 Correct 2 ms 512 KB Output is correct
8 Correct 2 ms 512 KB Output is correct
9 Correct 2 ms 512 KB Output is correct
10 Correct 2 ms 512 KB Output is correct
11 Correct 2 ms 512 KB Output is correct
12 Correct 2 ms 512 KB Output is correct
13 Correct 2 ms 512 KB Output is correct
14 Correct 2 ms 512 KB Output is correct
15 Correct 2 ms 512 KB Output is correct
16 Correct 2 ms 512 KB Output is correct
17 Correct 3 ms 512 KB Output is correct
18 Correct 2 ms 512 KB Output is correct
19 Correct 2 ms 512 KB Output is correct
20 Correct 2 ms 512 KB Output is correct
21 Correct 1 ms 512 KB Output is correct
22 Correct 1 ms 512 KB Output is correct
23 Correct 2 ms 512 KB Output is correct
24 Correct 2 ms 512 KB Output is correct
25 Correct 2 ms 512 KB Output is correct
26 Correct 2 ms 488 KB Output is correct
27 Correct 2 ms 512 KB Output is correct
28 Correct 1 ms 512 KB Output is correct
29 Correct 2 ms 512 KB Output is correct
30 Correct 1 ms 512 KB Output is correct
31 Correct 2 ms 512 KB Output is correct
32 Correct 1 ms 512 KB Output is correct
33 Correct 2 ms 512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 2 ms 512 KB Output is correct
6 Correct 2 ms 512 KB Output is correct
7 Correct 2 ms 512 KB Output is correct
8 Correct 2 ms 512 KB Output is correct
9 Correct 2 ms 512 KB Output is correct
10 Correct 2 ms 512 KB Output is correct
11 Correct 2 ms 512 KB Output is correct
12 Correct 2 ms 512 KB Output is correct
13 Correct 2 ms 512 KB Output is correct
14 Correct 2 ms 512 KB Output is correct
15 Correct 2 ms 512 KB Output is correct
16 Correct 2 ms 512 KB Output is correct
17 Correct 3 ms 512 KB Output is correct
18 Correct 2 ms 512 KB Output is correct
19 Correct 2 ms 512 KB Output is correct
20 Correct 2 ms 512 KB Output is correct
21 Correct 1 ms 512 KB Output is correct
22 Correct 1 ms 512 KB Output is correct
23 Correct 2 ms 512 KB Output is correct
24 Correct 2 ms 512 KB Output is correct
25 Correct 2 ms 512 KB Output is correct
26 Correct 2 ms 488 KB Output is correct
27 Correct 2 ms 512 KB Output is correct
28 Correct 1 ms 512 KB Output is correct
29 Correct 2 ms 512 KB Output is correct
30 Correct 1 ms 512 KB Output is correct
31 Correct 2 ms 512 KB Output is correct
32 Correct 1 ms 512 KB Output is correct
33 Correct 2 ms 512 KB Output is correct
34 Correct 248 ms 42480 KB Output is correct
35 Correct 270 ms 44676 KB Output is correct
36 Correct 270 ms 43896 KB Output is correct
37 Correct 281 ms 44792 KB Output is correct
38 Correct 253 ms 44792 KB Output is correct
39 Correct 256 ms 44020 KB Output is correct
40 Correct 286 ms 47832 KB Output is correct
41 Correct 258 ms 45044 KB Output is correct
42 Correct 285 ms 46456 KB Output is correct
43 Correct 296 ms 48120 KB Output is correct
44 Correct 345 ms 48120 KB Output is correct
45 Correct 286 ms 48120 KB Output is correct
46 Correct 273 ms 48120 KB Output is correct
47 Correct 275 ms 47224 KB Output is correct
48 Correct 272 ms 46964 KB Output is correct
49 Correct 279 ms 47868 KB Output is correct
50 Correct 287 ms 47340 KB Output is correct
51 Correct 293 ms 47480 KB Output is correct
52 Correct 214 ms 36444 KB Output is correct
53 Correct 220 ms 36344 KB Output is correct
54 Correct 202 ms 36600 KB Output is correct
55 Correct 257 ms 36088 KB Output is correct
56 Correct 280 ms 48384 KB Output is correct
57 Correct 276 ms 43128 KB Output is correct
58 Correct 271 ms 43384 KB Output is correct
59 Correct 272 ms 43512 KB Output is correct
60 Correct 230 ms 41080 KB Output is correct
61 Correct 248 ms 43896 KB Output is correct
62 Correct 252 ms 43256 KB Output is correct
63 Correct 244 ms 43896 KB Output is correct
64 Correct 237 ms 42360 KB Output is correct
65 Correct 246 ms 43768 KB Output is correct