Submission #1094786

# Submission time Handle Problem Language Result Execution time Memory
1094786 2024-09-30T14:37:30 Z RiverFlow Land of the Rainbow Gold (APIO17_rainbow) C++14
100 / 100
712 ms 508092 KB
#include <bits/stdc++.h>

#define nl "\n"
#define no "NO"
#define yes "YES"
#define fi first
#define se second
#define vec vector
#define task "main"
#define _mp make_pair
#define ii pair<int, int>
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
#define evoid(val) return void(std::cout << val)
#define FOR(i, a, b) for(int i = (a); i <= (b); ++i)
#define FOD(i, b, a) for(int i = (b); i >= (a); --i)
#define unq(x) sort(all(x)); x.resize(unique(all(x)) - x.begin())

using namespace std;

const char ch[4] = {'N', 'E', 'W', 'S'};
const int dx[4] = {-1, 0, 0, 1};
const int dy[4] = {0, 1, -1, 0};

void mini(int &a, int b) {
    if (a > b) a = b;
}
void maxi(int &a, int b) {
    if (a < b) a = b;
}

struct node {
    int v = 0, l = 0, r = 0;
};
const int L = (int)2e5 + 7;
const int MAX = (int)1e7 + 7;
struct segment_tree {

node t[MAX];
int ver[L + 7];

    segment_tree () {};

    int cnt = 0;
    int build(int l, int r) {
        int cur = cnt++;
        if (l == r) return cur;
        int m = (l + r) >> 1;
        t[cur].l = build(l, m);
        t[cur].r = build(m + 1, r);
        return cur;
    }
    int lver = 0;
    void build() {
        ver[0] = build(1, L);
    }
    int update(int od, int l, int r, int p) {
        int cur = cnt++;
        t[cur].v = t[od].v + 1;
        if (l == r) return cur;
        int m = (l + r) >> 1;
        if (p <= m) {
            t[cur].r = t[od].r;
            t[cur].l = update(t[od].l, l, m, p);
        } else {
            t[cur].l = t[od].l;
            t[cur].r = update(t[od].r, m + 1, r, p);
        }
        return cur;
    }
    void upd(int vx, int p) {
        if (p == -1) {
            ver[vx] = ver[vx - 1];
            lver = vx;
            return ;
        }
        ver[vx] = update(ver[lver], 1, L, p);
        lver = vx;
    }
    int get(int id, int l, int r, int u, int v) {
        if (l > v or r < u) return 0;
        if (l >= u and r <= v) return t[id].v;
        int m = (l + r) >> 1;
        return get(t[id].l, l, m, u, v) + get(t[id].r, m + 1, r, u, v);
    }
    int get(int x, int y, int u, int v) {
        return get(ver[u], 1, L, y, v) - get(ver[x - 1], 1, L, y, v);
    }

};

struct CTDL {
    const int L = (int)2e5 + 3;
    vec<vec<int>> row;
    CTDL () {
        row.resize(L + 7);
    }
    segment_tree IT;
    void add(int x, int y) {
        row[x].push_back(y);
    }
    void init() {
        IT.build();
        FOR(i, 1, L) {
            if (sz(row[i])) {
                unq(row[i]);
            }
            if (sz(row[i]) == 0) {
                IT.upd(i, -1);
            } else {
                for(int j : row[i]) {
                    IT.upd(i, j);
                }
            }
        }
    }
    long long get(int x, int y, int u, int v, bool rev) {
        if (x > u or y > v) return 0;
        int j = IT.get(x, y, u, v);
        return rev ? 1LL * (u - x + 1) * (v - y + 1) - j : j;
    }
};

const int N = (int)2e5 + 7;

int n, m;
CTDL orincells, cells, hori, vert; // hori = hang, vert = cot

int minX = INT_MAX, maxX = 0, minY = INT_MAX, maxY = 0;

void init(int R, int C, int sr, int sc, int M, char *S) {
    n = R, m = C;
    vector<pair<int, int>> rivers;
    rivers.push_back(_mp(sr, sc));
    for(int i = 0; i < M; ++i) {
        for(int j = 0; j < 4; ++j) if (ch[j] == S[i]) {
            sr += dx[j], sc += dy[j];
        }
        rivers.push_back(_mp(sr, sc));
    }
    unq(rivers);
    for(auto cell : rivers) {
        int x = cell.first, y = cell.second;

        mini(minX, x);
        mini(minY, y);
        maxi(maxX, x);
        maxi(maxY, y);

        orincells.add(x, y);

        FOR(a, 0, 1)
        FOR(b, 0, 1) {
            cells.add(x + a, y + b);
        }

        hori.add(x, y + 1);
        hori.add(x + 1, y + 1);
        vert.add(x + 1, y + 1);
        vert.add(x + 1, y);
    }

    orincells.init();
    cells.init();
    hori.init();
    vert.init();
}

int colour(int x, int y, int u, int v) {
    long long R = orincells.get(x, y, u, v, 0);
    if (R == 0) return 1;
    if (R == 1LL * (u - x + 1) * (v - y + 1)) return 0;

    int h = u - x + 1, w = v - y + 1;

    long long V = 1LL * (h + 3) * (w + 3) - cells.get(x + 1, y + 1, u, v, 1);
    long long E = 4 * (w + 2) + 4 * (h + 2) + 2 * (w - 1) + 2 * (h - 1);

    E += hori.get(x + 1, y + 1, u, v + 1, 0) + vert.get(x + 1, y + 1, u + 1, v, 0);

    int C = (minX > x and maxX < u and minY > y and maxY < v) ? 2 : 1;

    long long F = 1 + C - V + E;

    return F - (R + 2 * (h + 2) + 2 * (w + 2) - 4 + 1);
}

#ifdef LOCAL
int main() {
    ios::sync_with_stdio(0);
    cin.tie(0);
    freopen("main.inp", "r", stdin);
    freopen("main.out", "w", stdout);
    int r, c, m, q, x, y;
    cin >> r >> c >> m >> q >> x >> y;
//    string s; cin >> s;
    char s[m];
    for(int i = 0; i < m; ++i) cin >> s[i];
    init(r, c, x, y, m, s);
    while (q--) {
        int x, y, u, v;
        cin >> x >> y >> u >> v;
        cout << colour(x, y, u, v) << nl;
    }
}
#endif

# Verdict Execution time Memory Grader output
1 Correct 245 ms 492048 KB Output is correct
2 Correct 232 ms 491876 KB Output is correct
3 Correct 240 ms 491872 KB Output is correct
4 Correct 239 ms 491984 KB Output is correct
5 Correct 231 ms 492128 KB Output is correct
6 Correct 225 ms 491868 KB Output is correct
7 Correct 230 ms 491944 KB Output is correct
8 Correct 231 ms 491872 KB Output is correct
9 Correct 219 ms 492000 KB Output is correct
10 Correct 228 ms 491860 KB Output is correct
11 Correct 237 ms 491904 KB Output is correct
12 Correct 241 ms 491904 KB Output is correct
13 Correct 227 ms 492092 KB Output is correct
14 Correct 233 ms 492000 KB Output is correct
15 Correct 212 ms 491868 KB Output is correct
16 Correct 232 ms 491864 KB Output is correct
17 Correct 218 ms 491932 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 232 ms 491864 KB Output is correct
2 Correct 218 ms 491932 KB Output is correct
3 Correct 480 ms 498580 KB Output is correct
4 Correct 574 ms 500172 KB Output is correct
5 Correct 606 ms 500152 KB Output is correct
6 Correct 485 ms 499892 KB Output is correct
7 Correct 535 ms 499128 KB Output is correct
8 Correct 390 ms 495796 KB Output is correct
9 Correct 585 ms 500152 KB Output is correct
10 Correct 587 ms 500152 KB Output is correct
11 Correct 543 ms 499876 KB Output is correct
12 Correct 414 ms 500204 KB Output is correct
13 Correct 349 ms 500152 KB Output is correct
14 Correct 390 ms 500148 KB Output is correct
15 Correct 357 ms 499896 KB Output is correct
16 Correct 492 ms 499100 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 212 ms 491868 KB Output is correct
2 Correct 282 ms 497812 KB Output is correct
3 Correct 302 ms 505520 KB Output is correct
4 Correct 310 ms 499864 KB Output is correct
5 Correct 294 ms 499908 KB Output is correct
6 Correct 247 ms 494276 KB Output is correct
7 Correct 261 ms 495292 KB Output is correct
8 Correct 307 ms 497608 KB Output is correct
9 Correct 290 ms 496552 KB Output is correct
10 Correct 260 ms 493516 KB Output is correct
11 Correct 275 ms 495556 KB Output is correct
12 Correct 286 ms 497864 KB Output is correct
13 Correct 301 ms 505288 KB Output is correct
14 Correct 284 ms 500168 KB Output is correct
15 Correct 274 ms 500032 KB Output is correct
16 Correct 231 ms 493852 KB Output is correct
17 Correct 232 ms 495504 KB Output is correct
18 Correct 261 ms 497608 KB Output is correct
19 Correct 263 ms 501960 KB Output is correct
20 Correct 265 ms 501880 KB Output is correct
21 Correct 260 ms 497608 KB Output is correct
22 Correct 299 ms 496580 KB Output is correct
23 Correct 257 ms 493596 KB Output is correct
24 Correct 271 ms 495560 KB Output is correct
25 Correct 284 ms 497700 KB Output is correct
26 Correct 302 ms 505496 KB Output is correct
27 Correct 293 ms 499908 KB Output is correct
28 Correct 280 ms 500088 KB Output is correct
29 Correct 252 ms 493920 KB Output is correct
30 Correct 282 ms 495556 KB Output is correct
31 Correct 287 ms 497352 KB Output is correct
32 Correct 322 ms 501956 KB Output is correct
33 Correct 292 ms 501956 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 245 ms 492048 KB Output is correct
2 Correct 232 ms 491876 KB Output is correct
3 Correct 240 ms 491872 KB Output is correct
4 Correct 239 ms 491984 KB Output is correct
5 Correct 231 ms 492128 KB Output is correct
6 Correct 225 ms 491868 KB Output is correct
7 Correct 230 ms 491944 KB Output is correct
8 Correct 231 ms 491872 KB Output is correct
9 Correct 219 ms 492000 KB Output is correct
10 Correct 228 ms 491860 KB Output is correct
11 Correct 237 ms 491904 KB Output is correct
12 Correct 241 ms 491904 KB Output is correct
13 Correct 227 ms 492092 KB Output is correct
14 Correct 233 ms 492000 KB Output is correct
15 Correct 212 ms 491868 KB Output is correct
16 Correct 232 ms 491864 KB Output is correct
17 Correct 218 ms 491932 KB Output is correct
18 Correct 588 ms 497876 KB Output is correct
19 Correct 314 ms 495500 KB Output is correct
20 Correct 305 ms 495408 KB Output is correct
21 Correct 312 ms 495444 KB Output is correct
22 Correct 298 ms 495568 KB Output is correct
23 Correct 322 ms 495440 KB Output is correct
24 Correct 327 ms 495436 KB Output is correct
25 Correct 313 ms 495440 KB Output is correct
26 Correct 310 ms 495440 KB Output is correct
27 Correct 371 ms 497844 KB Output is correct
28 Correct 373 ms 496820 KB Output is correct
29 Correct 382 ms 498208 KB Output is correct
30 Correct 460 ms 499868 KB Output is correct
31 Correct 226 ms 492112 KB Output is correct
32 Correct 502 ms 497700 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 245 ms 492048 KB Output is correct
2 Correct 232 ms 491876 KB Output is correct
3 Correct 240 ms 491872 KB Output is correct
4 Correct 239 ms 491984 KB Output is correct
5 Correct 231 ms 492128 KB Output is correct
6 Correct 225 ms 491868 KB Output is correct
7 Correct 230 ms 491944 KB Output is correct
8 Correct 231 ms 491872 KB Output is correct
9 Correct 219 ms 492000 KB Output is correct
10 Correct 228 ms 491860 KB Output is correct
11 Correct 237 ms 491904 KB Output is correct
12 Correct 241 ms 491904 KB Output is correct
13 Correct 227 ms 492092 KB Output is correct
14 Correct 233 ms 492000 KB Output is correct
15 Correct 212 ms 491868 KB Output is correct
16 Correct 232 ms 491864 KB Output is correct
17 Correct 218 ms 491932 KB Output is correct
18 Correct 588 ms 497876 KB Output is correct
19 Correct 314 ms 495500 KB Output is correct
20 Correct 305 ms 495408 KB Output is correct
21 Correct 312 ms 495444 KB Output is correct
22 Correct 298 ms 495568 KB Output is correct
23 Correct 322 ms 495440 KB Output is correct
24 Correct 327 ms 495436 KB Output is correct
25 Correct 313 ms 495440 KB Output is correct
26 Correct 310 ms 495440 KB Output is correct
27 Correct 371 ms 497844 KB Output is correct
28 Correct 373 ms 496820 KB Output is correct
29 Correct 382 ms 498208 KB Output is correct
30 Correct 460 ms 499868 KB Output is correct
31 Correct 226 ms 492112 KB Output is correct
32 Correct 502 ms 497700 KB Output is correct
33 Correct 282 ms 497812 KB Output is correct
34 Correct 302 ms 505520 KB Output is correct
35 Correct 310 ms 499864 KB Output is correct
36 Correct 294 ms 499908 KB Output is correct
37 Correct 247 ms 494276 KB Output is correct
38 Correct 261 ms 495292 KB Output is correct
39 Correct 307 ms 497608 KB Output is correct
40 Correct 290 ms 496552 KB Output is correct
41 Correct 260 ms 493516 KB Output is correct
42 Correct 275 ms 495556 KB Output is correct
43 Correct 286 ms 497864 KB Output is correct
44 Correct 301 ms 505288 KB Output is correct
45 Correct 284 ms 500168 KB Output is correct
46 Correct 274 ms 500032 KB Output is correct
47 Correct 231 ms 493852 KB Output is correct
48 Correct 232 ms 495504 KB Output is correct
49 Correct 261 ms 497608 KB Output is correct
50 Correct 263 ms 501960 KB Output is correct
51 Correct 265 ms 501880 KB Output is correct
52 Correct 260 ms 497608 KB Output is correct
53 Correct 299 ms 496580 KB Output is correct
54 Correct 257 ms 493596 KB Output is correct
55 Correct 271 ms 495560 KB Output is correct
56 Correct 284 ms 497700 KB Output is correct
57 Correct 302 ms 505496 KB Output is correct
58 Correct 293 ms 499908 KB Output is correct
59 Correct 280 ms 500088 KB Output is correct
60 Correct 252 ms 493920 KB Output is correct
61 Correct 282 ms 495556 KB Output is correct
62 Correct 287 ms 497352 KB Output is correct
63 Correct 322 ms 501956 KB Output is correct
64 Correct 292 ms 501956 KB Output is correct
65 Correct 480 ms 498580 KB Output is correct
66 Correct 574 ms 500172 KB Output is correct
67 Correct 606 ms 500152 KB Output is correct
68 Correct 485 ms 499892 KB Output is correct
69 Correct 535 ms 499128 KB Output is correct
70 Correct 390 ms 495796 KB Output is correct
71 Correct 585 ms 500152 KB Output is correct
72 Correct 587 ms 500152 KB Output is correct
73 Correct 543 ms 499876 KB Output is correct
74 Correct 414 ms 500204 KB Output is correct
75 Correct 349 ms 500152 KB Output is correct
76 Correct 390 ms 500148 KB Output is correct
77 Correct 357 ms 499896 KB Output is correct
78 Correct 492 ms 499100 KB Output is correct
79 Correct 712 ms 500664 KB Output is correct
80 Correct 676 ms 499124 KB Output is correct
81 Correct 423 ms 496460 KB Output is correct
82 Correct 441 ms 498196 KB Output is correct
83 Correct 468 ms 500412 KB Output is correct
84 Correct 450 ms 508092 KB Output is correct
85 Correct 495 ms 502708 KB Output is correct
86 Correct 410 ms 503000 KB Output is correct
87 Correct 383 ms 496492 KB Output is correct
88 Correct 361 ms 498276 KB Output is correct
89 Correct 374 ms 500144 KB Output is correct
90 Correct 502 ms 504544 KB Output is correct
91 Correct 642 ms 504512 KB Output is correct