Submission #231108

# Submission time Handle Problem Language Result Execution time Memory
231108 2020-05-12T18:10:06 Z duality Building 4 (JOI20_building4) C++11
100 / 100
493 ms 62056 KB
#define DEBUG 0

#include <bits/stdc++.h>
using namespace std;

#if DEBUG
// basic debugging macros
int __i__,__j__;
#define printLine(l) for(__i__=0;__i__<l;__i__++){cout<<"-";}cout<<endl
#define printLine2(l,c) for(__i__=0;__i__<l;__i__++){cout<<c;}cout<<endl
#define printVar(n) cout<<#n<<": "<<n<<endl
#define printArr(a,l) cout<<#a<<": ";for(__i__=0;__i__<l;__i__++){cout<<a[__i__]<<" ";}cout<<endl
#define print2dArr(a,r,c) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<a[__i__][__j__]<<" ";}cout<<endl;}
#define print2dArr2(a,r,c,l) cout<<#a<<":\n";for(__i__=0;__i__<r;__i__++){for(__j__=0;__j__<c;__j__++){cout<<setw(l)<<setfill(' ')<<a[__i__][__j__]<<" ";}cout<<endl;}

// advanced debugging class
// debug 1,2,'A',"test";
class _Debug {
    public:
        template<typename T>
        _Debug& operator,(T val) {
            cout << val << endl;
            return *this;
        }
};
#define debug _Debug(),
#else
#define printLine(l)
#define printLine2(l,c)
#define printVar(n)
#define printArr(a,l)
#define print2dArr(a,r,c)
#define print2dArr2(a,r,c,l)
#define debug
#endif

// define
#define MAX_VAL 999999999
#define MAX_VAL_2 999999999999999999LL
#define EPS 1e-6
#define mp make_pair
#define pb push_back

// typedef
typedef unsigned int UI;
typedef long long int LLI;
typedef unsigned long long int ULLI;
typedef unsigned short int US;
typedef pair<int,int> pii;
typedef pair<LLI,LLI> plli;
typedef vector<int> vi;
typedef vector<LLI> vlli;
typedef vector<pii> vpii;
typedef vector<plli> vplli;

// ---------- END OF TEMPLATE ----------

int A[1000000],B[1000000];
int poss[1000000][2];
queue<int> Q;
char ans[1000000];
vpii v,v2;
int main() {
    int i;
    int N;
    scanf("%d",&N);
    for (i = 0; i < 2*N; i++) scanf("%d",&A[i]);
    for (i = 0; i < 2*N; i++) scanf("%d",&B[i]);

    for (i = 0; i < 2*N; i++) poss[i][0] = poss[i][1] = 1;
    for (i = 0; i < 2*N; i++) {
        if ((i < 2*N-1) && (A[i] > A[i+1]) && (A[i] > B[i+1])) poss[i][0] = 0,Q.push(i);
        if ((i < 2*N-1) && (B[i] > A[i+1]) && (B[i] > B[i+1])) poss[i][1] = 0,Q.push(i);
        if ((i > 0) && (A[i] < A[i-1]) && (A[i] < B[i-1])) poss[i][0] = 0,Q.push(i);
        if ((i > 0) && (B[i] < A[i-1]) && (B[i] < B[i-1])) poss[i][1] = 0,Q.push(i);
    }
    while (!Q.empty()) {
        int u = Q.front();
        Q.pop();

        if (!poss[u][0] && !poss[u][1]) {
            printf("-1\n");
            return 0;
        }
        if (u < 2*N-1) {
            if (poss[u][0] && poss[u+1][0] && (A[u] > A[u+1])) poss[u+1][0] = 0,Q.push(u+1);
            if (poss[u][0] && poss[u+1][1] && (A[u] > B[u+1])) poss[u+1][1] = 0,Q.push(u+1);
            if (poss[u][1] && poss[u+1][0] && (B[u] > A[u+1])) poss[u+1][0] = 0,Q.push(u+1);
            if (poss[u][1] && poss[u+1][1] && (B[u] > B[u+1])) poss[u+1][1] = 0,Q.push(u+1);
        }
        if (u > 0) {
            if (poss[u][0] && poss[u-1][0] && (A[u] < A[u-1])) poss[u-1][0] = 0,Q.push(u-1);
            if (poss[u][0] && poss[u-1][1] && (A[u] < B[u-1])) poss[u-1][1] = 0,Q.push(u-1);
            if (poss[u][1] && poss[u-1][0] && (B[u] < A[u-1])) poss[u-1][0] = 0,Q.push(u-1);
            if (poss[u][1] && poss[u-1][1] && (B[u] < B[u-1])) poss[u-1][1] = 0,Q.push(u-1);
        }
    }
    int d = 0,p = -1;
    for (i = 0; i < 2*N; i++) {
        if (!poss[i][0]) ans[i] = 'B',d--,v.pb(mp(p+1,i-1)),p = i;
        else if (!poss[i][1]) ans[i] = 'A',v.pb(mp(p+1,i-1)),d++,p = i;
        else if ((i == 2*N-1) || (max(A[i],B[i]) < min(A[i+1],B[i+1]))) v.pb(mp(p+1,i)),p = i;
    }
    int j,sl = 0,sr = 0;
    for (i = 0; i < v.size(); i++) {
        int x = 0;
        for (j = v[i].first; j <= v[i].second; j++) {
            if (A[j] <= B[j]) x++;
            else x--;
        }
        int l = x,r = x;
        for (j = v[i].second; j >= v[i].first; j--) {
            if (A[j] <= B[j]) x -= 2;
            else x += 2;
            l = min(l,x),r = max(r,x);
        }
        v2.pb(mp(l,r));
        sl += l,sr += r;
    }
    if ((sl <= -d) && (-d <= sr)) {
        for (i = 0; i < v.size(); i++) d += v2[i].first;
        d = -d;
        for (i = 0; i < v.size(); i++) {
            int z = min(d,v2[i].second-v2[i].first);
            d -= z,z += v2[i].first;
            int x = 0;
            for (j = v[i].first; j <= v[i].second; j++) {
                if (A[j] <= B[j]) x++;
                else x--;
            }
            for (j = v[i].first; j <= v[i].second; j++) {
                if (A[j] <= B[j]) ans[j] = 'A';
                else ans[j] = 'B';
            }
            if (x != z) {
                for (j = v[i].second; j >= v[i].first; j--) {
                    if (A[j] <= B[j]) x -= 2,ans[j] = 'B';
                    else x += 2,ans[j] = 'A';
                    if (x == z) break;
                }
            }
        }
        for (i = 0; i < 2*N; i++) printf("%c",ans[i]);
        printf("\n");
    }
    else printf("-1\n");

    return 0;
}

Compilation message

building4.cpp: In function 'int main()':
building4.cpp:105:19: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
     for (i = 0; i < v.size(); i++) {
                 ~~^~~~~~~~~~
building4.cpp:121:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (i = 0; i < v.size(); i++) d += v2[i].first;
                     ~~^~~~~~~~~~
building4.cpp:123:23: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
         for (i = 0; i < v.size(); i++) {
                     ~~^~~~~~~~~~
building4.cpp:66:10: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     scanf("%d",&N);
     ~~~~~^~~~~~~~~
building4.cpp:67:36: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     for (i = 0; i < 2*N; i++) scanf("%d",&A[i]);
                               ~~~~~^~~~~~~~~~~~
building4.cpp:68:36: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
     for (i = 0; i < 2*N; i++) scanf("%d",&B[i]);
                               ~~~~~^~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 7 ms 512 KB Output is correct
6 Correct 7 ms 512 KB Output is correct
7 Correct 6 ms 512 KB Output is correct
8 Correct 6 ms 512 KB Output is correct
9 Correct 6 ms 512 KB Output is correct
10 Correct 6 ms 512 KB Output is correct
11 Correct 7 ms 640 KB Output is correct
12 Correct 7 ms 640 KB Output is correct
13 Correct 7 ms 640 KB Output is correct
14 Correct 7 ms 512 KB Output is correct
15 Correct 6 ms 512 KB Output is correct
16 Correct 6 ms 512 KB Output is correct
17 Correct 6 ms 512 KB Output is correct
18 Correct 7 ms 640 KB Output is correct
19 Correct 7 ms 640 KB Output is correct
20 Correct 7 ms 512 KB Output is correct
21 Correct 6 ms 512 KB Output is correct
22 Correct 6 ms 512 KB Output is correct
23 Correct 6 ms 512 KB Output is correct
24 Correct 6 ms 512 KB Output is correct
25 Correct 6 ms 512 KB Output is correct
26 Correct 7 ms 512 KB Output is correct
27 Correct 6 ms 384 KB Output is correct
28 Correct 6 ms 512 KB Output is correct
29 Correct 6 ms 512 KB Output is correct
30 Correct 6 ms 512 KB Output is correct
31 Correct 6 ms 512 KB Output is correct
32 Correct 6 ms 512 KB Output is correct
33 Correct 6 ms 512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 5 ms 384 KB Output is correct
2 Correct 5 ms 384 KB Output is correct
3 Correct 5 ms 384 KB Output is correct
4 Correct 5 ms 384 KB Output is correct
5 Correct 7 ms 512 KB Output is correct
6 Correct 7 ms 512 KB Output is correct
7 Correct 6 ms 512 KB Output is correct
8 Correct 6 ms 512 KB Output is correct
9 Correct 6 ms 512 KB Output is correct
10 Correct 6 ms 512 KB Output is correct
11 Correct 7 ms 640 KB Output is correct
12 Correct 7 ms 640 KB Output is correct
13 Correct 7 ms 640 KB Output is correct
14 Correct 7 ms 512 KB Output is correct
15 Correct 6 ms 512 KB Output is correct
16 Correct 6 ms 512 KB Output is correct
17 Correct 6 ms 512 KB Output is correct
18 Correct 7 ms 640 KB Output is correct
19 Correct 7 ms 640 KB Output is correct
20 Correct 7 ms 512 KB Output is correct
21 Correct 6 ms 512 KB Output is correct
22 Correct 6 ms 512 KB Output is correct
23 Correct 6 ms 512 KB Output is correct
24 Correct 6 ms 512 KB Output is correct
25 Correct 6 ms 512 KB Output is correct
26 Correct 7 ms 512 KB Output is correct
27 Correct 6 ms 384 KB Output is correct
28 Correct 6 ms 512 KB Output is correct
29 Correct 6 ms 512 KB Output is correct
30 Correct 6 ms 512 KB Output is correct
31 Correct 6 ms 512 KB Output is correct
32 Correct 6 ms 512 KB Output is correct
33 Correct 6 ms 512 KB Output is correct
34 Correct 405 ms 40056 KB Output is correct
35 Correct 450 ms 58156 KB Output is correct
36 Correct 433 ms 57428 KB Output is correct
37 Correct 445 ms 58404 KB Output is correct
38 Correct 390 ms 52952 KB Output is correct
39 Correct 369 ms 43236 KB Output is correct
40 Correct 383 ms 45540 KB Output is correct
41 Correct 321 ms 34808 KB Output is correct
42 Correct 444 ms 59704 KB Output is correct
43 Correct 481 ms 61932 KB Output is correct
44 Correct 493 ms 62056 KB Output is correct
45 Correct 482 ms 61920 KB Output is correct
46 Correct 438 ms 55412 KB Output is correct
47 Correct 403 ms 46924 KB Output is correct
48 Correct 377 ms 45152 KB Output is correct
49 Correct 392 ms 45672 KB Output is correct
50 Correct 467 ms 61180 KB Output is correct
51 Correct 470 ms 61328 KB Output is correct
52 Correct 367 ms 50288 KB Output is correct
53 Correct 360 ms 50288 KB Output is correct
54 Correct 279 ms 25976 KB Output is correct
55 Correct 288 ms 31724 KB Output is correct
56 Correct 367 ms 37480 KB Output is correct
57 Correct 339 ms 40928 KB Output is correct
58 Correct 348 ms 41060 KB Output is correct
59 Correct 324 ms 32632 KB Output is correct
60 Correct 343 ms 39780 KB Output is correct
61 Correct 369 ms 41828 KB Output is correct
62 Correct 352 ms 41444 KB Output is correct
63 Correct 341 ms 41956 KB Output is correct
64 Correct 340 ms 40676 KB Output is correct
65 Correct 352 ms 41828 KB Output is correct