QOJ.ac
QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#507678 | #7998. 矩阵 | hjxhjx | 100 ✓ | 4650ms | 497128kb | C++14 | 3.4kb | 2024-08-06 20:09:48 | 2024-08-06 20:09:48 |
Judging History
answer
#include <bits/stdc++.h>
#define ll long long
using namespace std;
template<typename ...Args>
signed debug(const char*str,Args ...args){return fprintf(stderr,str,args...);}
inline static int read(){
int sum=0,neg=false,ch=getchar();
while(!isdigit(ch)) neg|=(ch=='-'),ch=getchar();
while(isdigit(ch)) sum=(sum<<3)+(sum<<1)+(ch^48),ch=getchar();
return neg?-sum:sum;
}
enum direct{R,D,L,U};
constexpr int mod=1e9+7,dir[4][2]={{0,1},{1,0},{0,-1},{-1,0}};
void Pmod(int&x){if(x>=mod) x-=mod;}
void Nmod(int&x){if(x<0) x+=mod;}
int _Pmod(int x){return x>=mod?x-mod:x;}
int _Nmod(int x){return x<0?x+mod:x;}
int n,q,a[3005][3005],id[3005][3005];
struct{int v[4],val[4],rot[4];}node[9012005];
struct pointer{
int p,offset,sum;
pointer() = default;
pointer(int p):p(p),offset(0),sum(0){}
operator int(){return p;}
int dir(int d){return offset+d&3;}
int&v(int d){return node[p].v[dir(d)];}
int&val(int d){return node[p].val[dir(d)];}
int&rot(int d){return node[p].rot[dir(d)];}
void move(int d){
int t=dir(d); Pmod(sum+=node[p].val[t]);
offset+=node[p].rot[t],p=node[p].v[t];
}
};
#define F(A,B,C,D,E,F,Expr) for(;Expr;ptr.move(A),E) Nmod(ptr.val(B)-=val),ptr.move(B),Pmod(ptr.val(C)+=val),ptr.move(C); ptr.move(D),F;
#define G(A,B,C,D,E,Expr) for(;Expr;ptr.move(A),D) I[B].push_back(ptr),O[B].push_back(move(B,ptr)); ptr.move(C),E
pointer move(int d,pointer x){return x.move(d),x;}
void update(int x1,int y1,int x2,int y2,int val){
pointer ptr=x1; int x=x1,y=0; while(y<y1) ptr.move(R),y++;
F(R,U,D,L,y++,y--,y<=y2);F(D,R,L,U,x++,x--,x<=x2);F(L,D,U,R,y--,y++,y1<=y);F(U,L,R,D,x--,x++,x1<=x);
}
void rotate(int x1,int y1,int x2,int y2){
pointer ptr=x1; int x=x1,y=0,d=x2-x1+1; while(y<y1) ptr.move(R),y++; vector<pointer> I[4],O[4];
G(R,U,L,y++,y--,y<=y2);G(D,R,U,x++,x--,x<=x2);G(L,D,R,y--,y++,y1<=y);G(U,L,D,x--,x++,x1<=x);
for(int k=0;k<4;k++){
for(int i=0;i<d;i++){
I[k][i].rot(k)=-(O[k-1&3][i].rot(k+1&3)=I[k][i].offset-O[k-1&3][i].offset+1&3)&3;
I[k][i].v(k)=O[k-1&3][i],O[k][i].v(k+2&3)=I[k+1&3][i];
I[k][i].val(k)=mod-(O[k-1&3][i].val(k+1&3)=_Nmod(I[k][i].sum-O[k-1&3][i].sum));
}
}
}
signed main(){
// freopen("matrix.in","r",stdin);
// freopen("matrix.out","w",stdout);
n=read(),q=read(); int cnt=n,ans=0;
for(int i=1;i<=n;i++) id[i][0]=i;
for(int i=1;i<=n;i++) id[0][i]=++cnt;
for(int i=1;i<=n;i++) id[i][n+1]=++cnt;
for(int i=1;i<=n;i++) id[n+1][i]=++cnt;
for(int i=1;i<=n;i++) for(int j=1,x=i+1;j<=n;j++,x=x*(i+1ll)%998244353) a[i][j]=x,id[i][j]=++cnt;
for(int i=0;i<=n+1;i++){
for(int j=0,p=i;j<=n+1;p=id[i][++j]){
for(int k=0,tx,ty;k<4;k++){
tx=i+dir[k][0],ty=j+dir[k][1];
if(tx<0 || n+1<tx || ty<0 || n+1<ty) continue;
node[p].v[k]=id[tx][ty],node[p].val[k]=_Nmod(a[tx][ty]-a[i][j]);
}
}
}
while(q--){
int opt=read(),x1=read(),y1=read(),x2=read(),y2=read();
if(opt==1) rotate(x1,y1,x2,y2); else update(x1,y1,x2,y2,read());
}
pointer ptr=1;
for(int i=1,sum=0,mul=12345;i<=n;i++,sum=0,ptr=i){
for(int j=1;j<=n;j++,ptr.move(R),mul=mul*12345ll%mod){
Pmod(sum+=ptr.val(R)),ans=(ans+(ll)mul*sum)%mod;
}
}
return printf("%d\n",ans),0;
}
Details
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Pretests
Final Tests
Test #1:
score: 10
Accepted
time: 19ms
memory: 10088kb
input:
100 3000 1 4 3 100 99 1 3 8 83 88 1 4 7 96 99 1 2 7 90 95 2 6 5 98 98 762240996 1 9 8 98 97 1 3 3 100 100 2 18 7 97 84 230446266 1 2 5 94 97 1 2 18 82 98 1 9 2 100 93 1 3 9 91 97 1 1 2 99 100 1 7 6 98 97 1 2 4 98 100 1 3 2 99 98 1 4 2 100 98 2 9 74 28 83 703323901 1 6 4 100 98 2 2 6 99 93 882702932 ...
output:
535773693
result:
ok 1 number(s): "535773693"
Test #2:
score: 10
Accepted
time: 2288ms
memory: 496696kb
input:
3000 3000 2 40 215 2496 2298 67590963 2 100 211 2684 2855 670656770 2 417 399 2612 2930 826127245 2 116 779 2407 2596 977282152 2 512 366 2768 2949 737671139 2 191 594 2671 2978 404448620 2 3 11 2720 2633 516813112 2 95 294 2553 2820 112269230 2 284 58 2934 2754 225336228 2 306 53 2815 2984 49218367...
output:
343427775
result:
ok 1 number(s): "343427775"
Test #3:
score: 10
Accepted
time: 3183ms
memory: 496916kb
input:
3000 2000 1 853 610 2674 2431 1 24 415 2490 2881 1 19 150 2842 2973 1 597 79 2977 2459 1 307 408 2397 2498 1 292 316 2907 2931 1 7 42 2953 2988 1 36 30 2953 2947 1 55 438 2609 2992 1 97 204 2664 2771 1 607 254 2803 2450 1 59 159 2808 2908 1 58 12 2991 2945 1 287 400 2506 2619 1 105 143 2949 2987 1 2...
output:
743809971
result:
ok 1 number(s): "743809971"
Test #4:
score: 10
Accepted
time: 3130ms
memory: 496904kb
input:
3000 2000 1 646 55 2815 2224 1 47 78 2964 2995 1 48 7 2882 2841 1 9 8 2999 2998 1 128 36 2984 2892 1 14 5 2990 2981 1 52 81 2934 2963 1 231 317 2612 2698 1 33 7 2960 2934 1 111 165 2732 2786 1 9 2 2994 2987 1 131 224 2866 2959 1 19 49 2917 2947 1 46 44 2997 2995 1 1 14 2969 2982 1 69 49 2975 2955 1 ...
output:
517390609
result:
ok 1 number(s): "517390609"
Test #5:
score: 10
Accepted
time: 4650ms
memory: 496872kb
input:
3000 3000 1 6 5 2997 2996 1 14 362 2624 2972 1 657 108 2405 1856 1 20 27 2983 2990 1 245 236 2903 2894 1 184 100 2957 2873 1 61 47 2954 2940 1 39 89 2935 2985 1 43 49 2956 2962 1 132 138 2763 2769 1 4 4 2998 2998 1 16 59 2752 2795 1 30 24 2997 2991 1 143 11 2959 2827 1 57 44 2887 2874 1 40 17 2991 2...
output:
632994577
result:
ok 1 number(s): "632994577"
Test #6:
score: 10
Accepted
time: 4607ms
memory: 496780kb
input:
3000 3000 1 544 5 2907 2368 1 60 63 2978 2981 1 228 310 2881 2963 1 57 71 2958 2972 1 101 565 2467 2931 1 979 1004 2882 2907 1 37 3 2913 2879 1 418 427 2922 2931 1 30 62 2937 2969 1 83 104 2979 3000 1 4 18 2939 2953 1 67 203 2834 2970 1 357 882 1000 1525 1 34 10 2991 2967 1 8 4 2997 2993 1 2 4 2991 ...
output:
275056325
result:
ok 1 number(s): "275056325"
Test #7:
score: 10
Accepted
time: 2981ms
memory: 496912kb
input:
3000 2000 1 82 42 2883 2843 1 2 48 2939 2985 2 188 176 2376 2976 715286463 1 15 24 2984 2993 1 106 50 2811 2755 2 45 132 2745 2432 339749026 1 5 100 2779 2874 1 343 134 2478 2269 1 106 227 2820 2941 2 10 206 2947 2798 365598855 2 560 106 2582 2903 92795190 1 74 100 2960 2986 1 5 33 2944 2972 2 873 3...
output:
191562107
result:
ok 1 number(s): "191562107"
Test #8:
score: 10
Accepted
time: 2910ms
memory: 497128kb
input:
3000 2000 1 20 5 2990 2975 1 14 10 2999 2995 1 192 89 2950 2847 2 547 646 2654 2940 439095457 1 18 16 3000 2998 1 35 105 2754 2824 1 17 52 2942 2977 2 356 121 2384 2963 959830720 2 76 78 2412 1842 361763869 2 199 46 2624 2931 743439747 2 180 320 2981 2964 772483137 2 173 122 2732 2901 759079379 1 47...
output:
787136396
result:
ok 1 number(s): "787136396"
Test #9:
score: 10
Accepted
time: 4308ms
memory: 496824kb
input:
3000 3000 1 220 131 2785 2696 2 1443 1396 2159 2850 578335729 1 536 1184 1545 2193 1 26 23 2999 2996 1 43 56 2881 2894 1 29 4 2872 2847 2 69 155 2681 2931 88398671 1 66 44 2945 2923 1 53 512 2515 2974 2 402 58 2752 2782 641047796 2 458 36 2859 2756 694998888 2 145 192 2995 2973 483103477 1 117 315 2...
output:
973923858
result:
ok 1 number(s): "973923858"
Test #10:
score: 10
Accepted
time: 4374ms
memory: 496888kb
input:
3000 3000 2 7 47 2887 2544 535526356 2 160 639 2988 2995 343766215 1 122 40 2985 2903 2 62 240 2858 2177 841981272 1 169 18 2682 2531 1 61 286 2729 2954 1 180 27 2994 2841 1 238 330 2881 2973 2 57 188 2880 2914 203515190 1 28 61 2903 2936 2 102 269 2876 2397 681849386 1 3 53 2896 2946 1 101 56 2985 ...
output:
328382756
result:
ok 1 number(s): "328382756"