Submission #250842

#	Time	Username	Problem	Language	Result	Execution time	Memory
250842		VEGAnn	Raspad (COI17_raspad)	C++14	100 / 100	2516 ms	69624 KiB

raspad

#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const int N = 100100;
const int M = 53;
ll ans = 0;
bool tp[N][M];
int n, m, pre[N * M], lft[M][M], rgt[M][M], clf[M], crt[M];
int lst[N * M], ind[N * M], tt, pred[2 * M];
ll ans_lf[M], ans_rt[M];

int get(int x) { return (pre[x] == x ? pre[x] : pre[x] = get(pre[x])); }
int get_o(int x) { return (pred[x] == x ? pred[x] : pred[x] = get_o(pred[x])); }

void upd(int (&mas)[M]){
    tt++;

    int indx = 0;

    for (int j = 0; j < m; j++){
        if (lst[mas[j]] != tt){
            lst[mas[j]] = tt;
            ind[mas[j]] = indx++;
        }

        mas[j] = ind[mas[j]];
    }
}

void calc(int lf, int rt){
    if (lf == rt){
        ans += tp[lf][0];

        for (int j = 1; j < m; j++){
            if (!tp[lf][j]) continue;

            if (!tp[lf][j - 1])
                ans++;
        }
        return;
    }

    int ko_lf = 1, ko_rt = 1;

    int md = (lf + rt) >> 1;

    // left side

    int siz = 0;

    for (int j = 0; j < m; j++){
        int loc = md * m + j;

        pre[loc] = loc;

        if (!tp[md][j]) continue;

        siz++;

        if (j > 0 && tp[md][j - 1]) {
            pre[get(loc)] = get(pre[loc - 1]);
            siz--;
        }
    }

    ans_lf[0] = siz;
    clf[0] = 1;

    for (int j = 0; j < m; j++)
        lft[0][j] = get(pre[md * m + j]);

    upd(lft[0]);

    for (int row = md - 1; row >= lf; row--){
        for (int j = 0; j < m; j++){
            if (!tp[row][j]) continue;

            siz++;

            int loc = row * m + j;

            pre[loc] = loc;

            if (j > 0 && tp[row][j - 1] && get(loc) != get(loc - 1)) {
                pre[get(loc)] = get(pre[loc - 1]);
                siz--;
            }

            if (tp[row + 1][j] && get(loc) != get(loc + m)){
                siz--;
                pre[get(loc)] = get(loc + m);
            }
        }

        bool was = 0;

        for (int j = 0; j < m; j++) {
            lft[ko_lf][j] = get(pre[md * m + j]);
        }

        upd(lft[ko_lf]);

        for (int j = 0; j < m; j++) {
            if (tp[md][j] && lft[ko_lf][j] != lft[ko_lf - 1][j]) {
                was = 1;
                break;
            }
        }

        if (was){
            clf[ko_lf] = 1;
            ans_lf[ko_lf] = siz;
            ko_lf++;
        } else {
            clf[ko_lf - 1]++;
            ans_lf[ko_lf - 1] += siz;
        }
    }

    // right side

    siz = 0;

    for (int j = 0; j < m; j++){
        int loc = md * m + m + j;

        pre[loc] = loc;

        if (!tp[md + 1][j]) continue;

        siz++;

        if (j > 0 && tp[md + 1][j - 1]) {
            pre[get(loc)] = get(pre[loc - 1]);
            siz--;
        }
    }

    ans_rt[0] = siz;

    crt[0] = 1;

    for (int j = 0; j < m; j++)
        rgt[0][j] = get(pre[md * m + m + j]);

    upd(rgt[0]);

    for (int row = md + 2; row <= rt; row++){
        for (int j = 0; j < m; j++){
            if (!tp[row][j]) continue;

            siz++;

            int loc = row * m + j;

            pre[loc] = loc;

            if (j > 0 && tp[row][j - 1] && get(loc) != get(loc - 1)) {
                pre[get(loc)] = get(pre[loc - 1]);
                siz--;
            }

            if (tp[row - 1][j] && get(loc) != get(loc - m)){
                siz--;
                pre[get(loc)] = get(loc - m);
            }
        }

        bool was = 0;

        for (int j = 0; j < m; j++) {
            rgt[ko_rt][j] = get(pre[md * m + m + j]);
        }

        upd(rgt[ko_rt]);

        for (int j = 0; j < m; j++) {
            if (tp[md + 1][j] && rgt[ko_rt][j] != rgt[ko_rt - 1][j]) {
                was = 1;
                break;
            }
        }

        if (was){
            crt[ko_rt] = 1;
            ans_rt[ko_rt] = siz;
            ko_rt++;
        } else {
            crt[ko_rt - 1]++;
            ans_rt[ko_rt - 1] += siz;
        }
    }

    for (int le = 0; le < ko_lf; le++)
    for (int ri = 0; ri < ko_rt; ri++){
        ll nw = 0, dlt = ll(crt[ri]) * ll(clf[le]);

        ans += ans_lf[le] * ll(crt[ri]) + ans_rt[ri] * ll(clf[le]);

        tt++;

        int indx = 0;

        for (int j = 0; j < m; j++){
            pred[j] = j;
            pred[j + m] = j + m;

            if (lst[rgt[ri][j]] != tt){
                lst[rgt[ri][j]] = tt;
                ind[rgt[ri][j]] = j;
            }

            pred[j] = ind[rgt[ri][j]];


            if (lst[lft[le][j] + m] != tt){
                lst[lft[le][j] + m] = tt;
                ind[lft[le][j] + m] = j + m;
            }

            pred[j + m] = ind[lft[le][j] + m];
        }

        for (int j = 0; j < m; j++){
            if (!tp[md][j] || !tp[md + 1][j]) continue;

            int fi = get_o(pred[j]);
            int se = get_o(pred[j + m]);

            if (fi == se) continue;

            nw++;

            pred[fi] = se;
        }

        ans -= dlt * nw;
    }

    calc(lf, md);
    calc(md + 1, rt);
}

int main(){
    ios_base::sync_with_stdio(0); cin.tie(0);

#ifdef _LOCAL
    freopen("in.txt","r",stdin);
#endif // _LOCAL

    cin >> n >> m;

    for (int i = 0; i < n; i++)
    for (int j = 0; j < m; j++){
        char c; cin >> c;
        tp[i][j] = (c - '0');
    }

    calc(0, n - 1);

    cout << ans;

    return 0;
}

Compilation message (stderr)

raspad.cpp: In function 'void calc(int, int)':
raspad.cpp:202:13: warning: unused variable 'indx' [-Wunused-variable]
         int indx = 0;
             ^~~~

• Subtask 1: 9 / 9
• Subtask 2: 17 / 17
• Subtask 3: 35 / 35
• Subtask 4: 39 / 39