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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#217707#6755. 方格染色Starrykiller100 ✓134ms21540kbC++234.5kb2023-10-17 10:49:582023-10-17 10:49:58

Judging History

你现在查看的是最新测评结果

  • [2023-10-17 10:49:58]
  • 评测
  • 测评结果:100
  • 用时:134ms
  • 内存:21540kb
  • [2023-10-17 10:49:58]
  • 提交

answer

#include <bits/stdc++.h>

using namespace std;
typedef long long ll;
constexpr int MAXN=1e6+10;

struct query {
    int x, y1, y2, k;
    bool operator< (const query& rhs) const {
        return x<rhs.x||(x==rhs.x&&k<rhs.k);
    }
} a[MAXN];

struct slash {
    int x1, y1, x2, y2;
} s[MAXN]; int stot;

struct point {
    int x, y;
    bool operator== (const point& rhs) const {
        return x==rhs.x&&y==rhs.y;
    }
    bool operator< (const point& rhs) const {
        return x==rhs.x?y<rhs.y:x<rhs.x;
    }
};

struct hori {
    int y, x1, x2;
    bool intersect(const slash& s) const {
        int r=y+s.x1-s.y1;
        // cout<<"Horizon "<<y<<'\n';
        // cout<<r<<' '<<x1<<' '<<x2<<'\n';
        return x1<=r && r<=x2 && s.x1<=r && r<=s.x2;
    }
    point cord(const slash& s) {
        return {y+s.x1-s.y1, y};
    }
} hor[MAXN]; int htot;

struct vert {
    int x, y1, y2;
    bool intersect(const slash& s) const {
        int r=x+s.y1-s.x1;
        // cout<<"Vertical "<<x<<'\n';
        // cout<<r<<' '<<y1<<' '<<y2<<'\n';
        return y1<=r && r<=y2 && s.y1<=r && r<=s.y2;
    }
    point cord(const slash& s) {
        return {x, x+s.y1-s.x1};
    }
} ver[MAXN]; int vtot;


int raw[MAXN], tot;

int id, n, m, q; ll ans;

struct {
    #define ls(p) (p<<1)
    #define rs(p) (p<<1|1)
    #define ll(p) tr[p].l
    #define rr(p) tr[p].r
    #define len(p) tr[p].len
    #define cnt(p) tr[p].cnt
    struct node {
        int l, r, len, cnt;
    } tr[MAXN<<2];
    void build(int l, int r, int p=1) {
        ll(p)=l, rr(p)=r; len(p)=cnt(p)=0;
        if (l==r) return;
        int mid=(l+r)>>1; build(l,mid,ls(p)); build(mid+1,r,rs(p));
    }

    void change(int l, int r, int c, int p=1) {
        int cl=ll(p), cr=rr(p);
        if (l<=cl && cr<=r) {
            cnt(p)+=c;
            if (cnt(p)) 
                len(p)=(raw[cr+1]-raw[cl]);
            else 
                len(p)=cl==cr?0:len(ls(p))+len(rs(p));
            return;
        }
        int mid=(cl+cr)>>1;

        if (l<=mid) change(l,r,c,ls(p));
        if (r>mid) change(l,r,c,rs(p));

        if (cnt(p)) 
            len(p)=raw[cr+1]-raw[cl];
        else 
            len(p)=len(ls(p))+len(rs(p));
    }

    int get() {
        return tr[1].len;
    }
} sg;

int query(int x) {
    return lower_bound(raw+1,raw+1+tot,x)-raw;
}

signed main() {
    ios::sync_with_stdio(false);
    cin>>id>>n>>m>>q;
    int op, x1, y1, x2, y2;
    for (int i=1; i<=q; ++i) {
        cin>>op>>x1>>y1>>x2>>y2;
        if (op<=2) {    
            raw[++tot]=y1; a[tot]={x1,y1,y2+1,1};
            raw[++tot]=y2+1; a[tot]={x2+1,y1,y2+1,-1};
            if (op==1) hor[++htot]={y1,x1,x2};
            else ver[++vtot]={x1,y1,y2};
        }
        else {
            s[++stot]={x1,y1,x2,y2}; 
            // ans+=x2-x1+1;
        }
    }
    sort(a+1,a+1+tot); sort(raw+1,raw+1+tot); n=tot; 
    tot=unique(raw+1,raw+1+tot)-(raw+1);
    if (n>1) {
        sg.build(1,tot-1);
        for (int i=1; i<n; ++i) {
            int x=a[i].x, 
            y1=query(a[i].y1), y2=query(a[i].y2)-1, 
            c=a[i].k;
            sg.change(y1,y2,c);
            ans+=(a[i+1].x-a[i].x)*sg.get();
        }
    }
    for (int i=1; i<1<<stot; ++i) {
        int b=-(1<<30), l, r;
        int cur=-1;
        bool flag=true;
        for (int j=0; j<stot; ++j) {
            if ((i>>j)&1) {
                // 抽到了第 j+1 根斜线
                if (b==(-(1<<30))) {
                    b=s[j+1].y1-s[j+1].x1;
                    l=s[j+1].x1, r=s[j+1].x2;
                    cur*=-1;
                }
                else {
                    cur*=-1;
                    if (s[j+1].y1-s[j+1].x1!=b) {
                        flag=false; break;
                    }
                    else {
                        r=min(r,s[j+1].x2);
                        l=max(l,s[j+1].x1);
                    }
                }
            }
        }
        if (flag) {
            ans+=cur*(r-l+1);
        }
    }
    set<point> st;
    for (int i=1; i<=stot; ++i) {
        for (int j=1; j<=htot; ++j) 
            if (hor[j].intersect(s[i])) 
                st.insert(hor[j].cord(s[i]));
        for (int j=1; j<=vtot; ++j) 
            if (ver[j].intersect(s[i])) 
                st.insert(ver[j].cord(s[i]));
    }
    // for (auto i: st) {
    //     cout<<i.x<<' '<<i.y<<'\n';
    // }
    ans-=st.size();
    cout<<ans<<'\n';
}


Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 5
Accepted
time: 1ms
memory: 7940kb

input:

1
300 300 300
2 3 211 3 214
2 55 69 55 110
2 41 231 41 243
2 205 220 205 250
2 157 229 157 252
1 176 78 183 78
2 3 94 3 106
1 9 35 9 35
2 47 290 47 297
1 278 93 288 93
2 41 236 41 236
1 194 60 252 60
2 193 188 193 212
2 3 223 3 230
1 79 13 109 13
1 44 34 180 34
2 195 219 195 227
1 118 26 157 26
1 6 ...

output:

6278

result:

ok 1 number(s): "6278"

Test #2:

score: 5
Accepted
time: 0ms
memory: 7744kb

input:

2
300 300 300
2 85 246 85 256
2 65 278 65 296
2 162 161 162 163
2 55 17 55 25
2 100 33 100 35
1 15 190 43 190
2 85 166 85 173
1 39 15 48 15
2 252 1 252 5
1 244 88 250 88
2 162 212 162 213
1 17 187 32 187
2 17 23 17 23
2 85 104 85 113
1 21 297 84 297
1 42 21 77 21
2 202 31 202 56
1 216 211 267 211
1 ...

output:

6200

result:

ok 1 number(s): "6200"

Test #3:

score: 5
Accepted
time: 1ms
memory: 7748kb

input:

3
300 300 300
2 116 224 116 238
2 46 87 46 92
2 28 22 28 31
2 283 56 283 131
2 39 242 39 272
1 231 61 264 61
2 116 69 116 86
1 225 60 281 60
2 189 39 189 160
1 24 298 56 298
2 28 159 28 167
1 246 160 285 160
2 177 93 177 120
2 116 168 116 168
1 281 290 283 290
1 277 136 277 136
2 289 268 289 282
1 1...

output:

6639

result:

ok 1 number(s): "6639"

Test #4:

score: 5
Accepted
time: 1ms
memory: 7716kb

input:

4
300 300 300
2 106 122 106 127
2 11 115 11 136
2 73 109 73 139
2 172 52 172 123
2 265 205 265 242
1 120 292 120 292
2 106 97 106 104
1 60 279 133 279
2 233 51 233 65
1 21 198 24 198
2 73 273 73 281
1 64 159 85 159
2 50 54 50 197
2 106 160 106 168
1 248 54 252 54
1 53 59 61 59
2 131 80 131 80
1 55 2...

output:

7078

result:

ok 1 number(s): "7078"

Test #5:

score: 5
Accepted
time: 1ms
memory: 7716kb

input:

5
300 300 300
2 287 265 287 265
2 111 270 111 297
2 157 17 157 58
2 277 275 277 298
2 15 211 15 211
1 14 30 63 30
2 287 84 287 156
1 253 35 295 35
2 20 190 20 194
1 286 33 286 33
2 157 96 157 98
1 91 39 163 39
2 250 8 250 155
2 287 11 287 11
1 300 251 300 251
1 2 17 25 17
2 277 265 277 298
1 29 220 ...

output:

7125

result:

ok 1 number(s): "7125"

Test #6:

score: 5
Accepted
time: 2ms
memory: 7976kb

input:

6
100000 100000 2000
1 18077 90844 29870 90844
1 15898 25209 29023 25209
2 44675 61077 44675 61413
1 99173 18081 99624 18081
2 14413 11091 14413 11125
1 99340 26474 99814 26474
2 96947 75112 96947 80888
2 66129 52517 66129 54954
1 93237 26027 98206 26027
2 78129 62643 78129 85005
1 58541 25209 58885...

output:

9811536

result:

ok 1 number(s): "9811536"

Test #7:

score: 5
Accepted
time: 2ms
memory: 8012kb

input:

7
100000 100000 2000
1 34031 33382 34054 33382
1 99015 33804 99864 33804
2 34512 3505 34512 4898
1 55048 84217 56238 84217
2 38112 40398 38112 42615
1 50442 65899 51889 65899
2 88157 62617 88157 86041
2 60447 86164 60447 92917
1 65226 27267 76959 27267
2 14212 5626 14212 15791
1 8592 33804 10140 338...

output:

10053021

result:

ok 1 number(s): "10053021"

Test #8:

score: 5
Accepted
time: 2ms
memory: 7816kb

input:

8
100000 100000 2000
1 98275 10296 99977 10296
1 73858 63081 78509 63081
2 13466 55377 13466 56714
1 6243 488 9927 488
2 17152 2176 17152 2450
1 54764 65968 58926 65968
2 44370 73685 44370 75926
2 67096 21518 67096 39914
1 451 9553 481 9553
2 68472 48718 68472 62445
1 4999 63081 8847 63081
2 19270 4...

output:

10332321

result:

ok 1 number(s): "10332321"

Test #9:

score: 5
Accepted
time: 3ms
memory: 8012kb

input:

9
100000 100000 2000
1 23317 23871 31852 23871
1 53872 67865 56553 67865
2 72463 7396 72463 8278
1 1541 6200 3500 6200
2 70353 66810 70353 67517
1 13712 70706 14713 70706
2 61832 48509 61832 67304
2 15946 75070 15946 88595
1 12825 45666 19060 45666
2 69012 9660 69012 11970
1 69321 67865 69955 67865
...

output:

9979747

result:

ok 1 number(s): "9979747"

Test #10:

score: 5
Accepted
time: 73ms
memory: 14776kb

input:

10
100000 100000 100000
1 61835 40902 62028 40902
1 64668 87940 90795 87940
1 61451 55355 61721 55355
1 98743 90394 98811 90394
1 93456 95437 93715 95437
1 178 96457 37434 96457
1 93457 73049 93641 73049
1 19855 25199 20057 25199
1 30835 55620 49371 55620
1 870 22188 35965 22188
1 89651 53076 93078 ...

output:

376451109

result:

ok 1 number(s): "376451109"

Test #11:

score: 5
Accepted
time: 77ms
memory: 14904kb

input:

11
100000 100000 100000
1 93433 32681 94198 32681
1 2415 85702 10653 85702
1 8749 5532 8752 5532
1 4176 3468 7801 3468
1 65135 97514 70898 97514
1 1346 69975 2218 69975
1 7238 53922 7339 53922
1 6680 21587 14606 21587
1 9177 40049 75470 40049
1 2212 26058 49400 26058
1 35015 27905 44587 27905
1 6151...

output:

378527694

result:

ok 1 number(s): "378527694"

Test #12:

score: 5
Accepted
time: 74ms
memory: 19632kb

input:

12
100000 100000 100000
1 644 10293 1177 10293
1 21231 74542 39652 74542
1 43086 28517 43600 28517
1 26256 93913 30489 93913
1 96516 44567 99105 44567
1 61061 42889 82165 42889
1 99983 5181 99987 5181
1 34354 47611 35329 47611
1 9509 65384 12488 65384
1 4173 11791 41138 11791
1 56669 47644 65359 476...

output:

374249547

result:

ok 1 number(s): "374249547"

Test #13:

score: 5
Accepted
time: 69ms
memory: 17704kb

input:

13
100000 100000 100000
1 25010 45828 33332 45828
1 51296 68890 72169 68890
1 78689 23687 78701 23687
1 95867 9382 97806 9382
1 55509 23786 99806 23786
1 40260 60931 44183 60931
1 22221 30731 22226 30731
1 76059 58981 76830 58981
1 7920 60112 15752 60112
1 44688 44084 73628 44084
1 11777 79268 17075...

output:

383211528

result:

ok 1 number(s): "383211528"

Test #14:

score: 5
Accepted
time: 110ms
memory: 17388kb

input:

14
100000 100000 100000
2 80885 49245 80885 49283
2 11220 64102 11220 65000
1 92473 13377 99579 13377
2 80885 86626 80885 86820
2 21118 1259 21118 11985
2 42237 62778 42237 69888
1 97222 79184 98758 79184
2 44599 63597 44599 63713
2 79040 95387 79040 96667
2 69913 88035 69913 88669
2 45307 2924 4530...

output:

381101960

result:

ok 1 number(s): "381101960"

Test #15:

score: 5
Accepted
time: 109ms
memory: 17768kb

input:

15
100000 100000 100000
2 91764 54353 91764 54520
2 28652 49170 28652 49615
1 9331 16798 11503 16798
2 91764 79993 91764 81072
2 84153 26433 84153 32088
2 75533 55981 75533 56009
1 37815 31743 39093 31743
2 6745 3757 6745 3760
2 63642 6258 63642 22771
2 55482 37341 55482 37878
2 81074 74483 81074 88...

output:

382632220

result:

ok 1 number(s): "382632220"

Test #16:

score: 5
Accepted
time: 110ms
memory: 16048kb

input:

16
100000 100000 100000
2 66828 6630 66828 7506
2 62880 34446 62880 43261
1 47672 55311 60293 55311
2 66828 76715 66828 76935
2 363 3447 363 68149
2 63886 41674 63886 55533
1 22133 90250 22411 90250
2 73144 82613 73144 82629
2 29932 19382 29932 22540
2 1995 82720 1995 83239
2 45497 7470 45497 10822
...

output:

380367856

result:

ok 1 number(s): "380367856"

Test #17:

score: 5
Accepted
time: 104ms
memory: 20892kb

input:

17
100000 100000 100000
2 77793 41255 77793 41333
2 5747 28352 5747 35492
1 14185 60840 15523 60840
2 77793 13667 77793 13709
2 29577 61040 29577 86816
2 65419 21908 65419 21909
1 4053 40767 5023 40767
2 5799 75974 5799 75989
2 56279 2793 56279 5116
2 88847 42645 88847 42947
2 26816 5454 26816 29322...

output:

377356031

result:

ok 1 number(s): "377356031"

Test #18:

score: 5
Accepted
time: 108ms
memory: 21540kb

input:

18
100000 100000 100000
2 1268 88808 1268 88885
2 57502 2110 57502 4367
1 41290 26515 47069 26515
2 1268 26818 1268 27021
2 71149 83597 71149 94531
2 10874 27348 10874 27667
1 43190 25771 43495 25771
2 58647 88335 58647 88418
2 79069 10314 79069 79144
2 40298 5896 40298 6940
2 59012 9576 59012 13924...

output:

381702497

result:

ok 1 number(s): "381702497"

Test #19:

score: 5
Accepted
time: 105ms
memory: 17576kb

input:

19
100000 100000 100000
2 89823 49443 89823 49983
2 80228 97306 80228 97895
1 42598 57336 42786 57336
2 89823 77556 89823 77717
2 66932 24494 66932 55405
2 53340 64541 53340 64712
1 60745 97405 69512 97405
2 40429 2913 40429 3039
2 81959 82182 81959 90993
2 8781 67985 8781 68397
2 78315 7314 78315 3...

output:

380715962

result:

ok 1 number(s): "380715962"

Test #20:

score: 5
Accepted
time: 134ms
memory: 18036kb

input:

20
1000000000 1000000000 100000
2 94971842 653040809 94971842 653703458
2 482724716 383575122 482724716 435099343
1 318102608 972959400 378877390 972959400
2 94971842 860758970 94971842 863268182
2 367852389 787409469 367852389 998707870
2 419520406 173007646 419520406 446320624
1 89956469 295257477...

output:

3930560445242

result:

ok 1 number(s): "3930560445242"

Extra Test:

score: 0
Extra Test Passed