Submission #293319

#TimeUsernameProblemLanguageResultExecution timeMemory
293319b00n0rpBuilding 4 (JOI20_building4)C++17
100 / 100
345 ms48384 KiB
// --------------------------------------------------<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"; }
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