Submission #1519944


Source Code Expand

/+ dub.sdl:
    name "A"
    dependency "dcomp" version=">=0.6.0"
+/
 
import std.stdio, std.algorithm, std.range, std.conv, std.parallelism;
import std.typecons;
// import dcomp.foundation, dcomp.scanner;
 
// import dcomp.modint;
 
alias Mint = ModInt!(10^^9 + 7);
immutable Mint[] fact;
immutable Mint[] iFac;
 
static this() {
    fact = factTable!Mint(2_000_100);
    iFac = invFactTable!Mint(2_000_100);
}
 
Mint C(int n, int k) {
    if (k < 0 || n < k) return Mint(0);
    return fact[n]*iFac[k]*iFac[n-k];
}
Mint X(int x, int y) {
    return C(x+y, x);
}

Mint calc(int[2] a, int[2] b, int[2] up) {
    int[2] dw = [0, 0];
    dw[] -= a[]; up[] -= a[]; b[] -= a[]; a = [0, 0];
/*    writeln(a, b, dw, up);
    Mint sm = 0;
    foreach (y; dw[1]..up[1]) {
        foreach (x; dw[0]..up[0]) {
            sm += C(x+y, x) * C(b[1]-y+b[0]-x, b[0]-x);
        }
    }*/
    Mint buf = X(dw[0], dw[1]) * X(b[0]-dw[0], b[1]-dw[1]);
    Mint sm = buf;
    foreach (z; dw[0]+dw[1]+1..up[0]+up[1]-1) {
        if (z < dw[1]+up[0]) {
            buf += X(z-dw[1], dw[1]-1) * X(b[0]-(z-dw[1]), b[1]-dw[1]);
        } else {
            buf -= X(up[0]-1, z-up[0]) * X(b[0]-up[0], b[1]-(z-up[0]));
        }
        if (z < up[1]+dw[0]) {
            buf += X(dw[0]-1, z-dw[0]) * X(b[0]-dw[0], b[1]-(z-dw[0]));
        } else {
            buf -= X(z-up[1], up[1]-1) * X(b[0]-(z-up[1]), b[1]-up[1]);
        }
        sm += buf;
    }
//    writeln(a, b, dw, up, sm);
    return sm;
}
 
int main() {
    auto sc = new Scanner(stdin);
    int[2] p1, p2, p3, p4, p5, p6;
    sc.read(p1[0], p2[0], p3[0],
        p4[0], p5[0], p6[0]);
    sc.read(p1[1], p2[1], p3[1],
        p4[1], p5[1], p6[1]);
    auto pb = p3;
    p1[] -= pb[]; p2[] -= pb[];
    p5[] -= pb[]; p6[] -= pb[];
    p3[] -= pb[]; p4[] -= pb[] - 1;
    alias P = Tuple!(int[2], int);
    P[4] v1, v2;
    v1[0][1] =  1; v1[0][0] = [p1[0]-1, p1[1]-1];
    v1[1][1] = -1; v1[1][0] = [p1[0]-1, p2[1]];
    v1[2][1] = -1; v1[2][0] = [p2[0], p1[1]-1];
    v1[3][1] =  1; v1[3][0] = [p2[0], p2[1]];
 
    v2[0][1] =  1; v2[0][0] = [p6[0]+1, p6[1]+1];
    v2[1][1] = -1; v2[1][0] = [p6[0]+1, p5[1]];
    v2[2][1] = -1; v2[2][0] = [p5[0], p6[1]+1];
    v2[3][1] =  1; v2[3][0] = [p5[0], p5[1]];
 
//    writeln(v1);
//    writeln(v2);
 
    Mint sm = 0;
    foreach (x; parallel(v1[])) {
        foreach (y; v2) {
            sm += calc(x[0], y[0], p4) * Mint(x[1]) * Mint(y[1]);
        }
    }
 
    writeln(sm);
    return 0;
}
/* IMPORT /Users/yosupo/Program/dcomp/source/dcomp/numeric/primitive.d */
// module dcomp.numeric.primitive;
 
import std.traits;
 
T pow(T, U)(T x, U n) if (!isFloatingPoint!T && isIntegral!U) {
    return pow(x, n, T(1));
}
 
T pow(T, U)(T x, U n, T e) if (isIntegral!U) {
    while (n) {
        if (n & 1) e *= x;
        x *= x;
        n /= 2;
    }
    return e;
}
 
 
 
T lcm(T)(in T a, in T b) {
    import std.numeric : gcd;
    return a / gcd(a,b) * b;
}
 
 
 
 
 
T[3] extGcd(T)(in T a, in T b) 
if (!isIntegral!T || isSigned!T)  
{
    if (b==0) {
        return [1, 0, a];
    } else {
        auto e = extGcd(b, a%b);
        return [e[1], e[0]-a/b*e[1], e[2]];
    }
}
 
 
/* IMPORT /Users/yosupo/Program/dcomp/source/dcomp/scanner.d */
// module dcomp.scanner;
 
 
class Scanner {
    import std.stdio : File;
    import std.conv : to;
    import std.range : front, popFront, array, ElementType;
    import std.array : split;
    import std.traits : isSomeChar, isStaticArray, isArray; 
    import std.algorithm : map;
    File f;
    this(File f) {
        this.f = f;
    }
    char[512] lineBuf;
    char[] line;
    private bool succ() {
        import std.range.primitives : empty, front, popFront;
        import std.ascii : isWhite;
        while (true) {
            while (!line.empty && line.front.isWhite) {
                line.popFront;
            }
            if (!line.empty) break;
            if (f.eof) return false;
            line = lineBuf[];
            f.readln(line);
        }
        return true;
    }
 
    private bool readSingle(T)(ref T x) {
        import std.algorithm : findSplitBefore;
        import std.string : strip;
        import std.conv : parse;
        if (!succ()) return false;
        static if (isArray!T) {
            alias E = ElementType!T;
            static if (isSomeChar!E) {
                 
                 
                auto r = line.findSplitBefore(" ");
                x = r[0].strip.dup;
                line = r[1];
            } else {
                auto buf = line.split.map!(to!E).array;
                static if (isStaticArray!T) {
                     
                    assert(buf.length == T.length);
                }
                x = buf;
                line.length = 0;
            }
        } else {
            x = line.parse!T;
        }
        return true;
    }
    int read(T, Args...)(ref T x, auto ref Args args) {
        if (!readSingle(x)) return 0;
        static if (args.length == 0) {
            return 1;
        } else {
            return 1 + read(args);
        }
    }
}
 
 
 
 
 
 
/* IMPORT /Users/yosupo/Program/dcomp/source/dcomp/foundation.d */
// module dcomp.foundation;
 
static if (__VERSION__ <= 2070) {
    template fold(fun...) if (fun.length >= 1) {
        auto fold(R, S...)(R r, S seed) {
            import std.algorithm : reduce;
            static if (S.length < 2) {
                return reduce!fun(seed, r);
            } else {
                import std.typecons : tuple;
                return reduce!fun(tuple(seed), r);
            }
        }
    }
     
}
version (X86) static if (__VERSION__ < 2071) {
    import core.bitop : bsf, bsr, popcnt;
    int bsf(ulong v) {
        foreach (i; 0..64) {
            if (v & (1UL << i)) return i;
        }
        return -1;
    }
    int bsr(ulong v) {
        foreach_reverse (i; 0..64) {
            if (v & (1UL << i)) return i;
        }
        return -1;   
    }
    int popcnt(ulong v) {
        int c = 0;
        foreach (i; 0..64) {
            if (v & (1UL << i)) c++;
        }
        return c;
    }
}
/* IMPORT /Users/yosupo/Program/dcomp/source/dcomp/modint.d */
// module dcomp.modint;
 
// import dcomp.numeric.primitive;
 
 
struct ModInt(uint MD) if (MD < int.max) {
    import std.conv : to;
    uint v;
    this(int v) {this(long(v));}
    this(long v) {this.v = (v%MD+MD)%MD;}
    static auto normS(uint x) {return (x<MD)?x:x-MD;}
    static auto make(uint x) {ModInt m; m.v = x; return m;}
     
    auto opBinary(string op:"+")(ModInt r) const {return make(normS(v+r.v));}
     
    auto opBinary(string op:"-")(ModInt r) const {return make(normS(v+MD-r.v));}
     
    auto opBinary(string op:"*")(ModInt r) const {return make((long(v)*r.v%MD).to!uint);}
     
    auto opBinary(string op:"/")(ModInt r) const {return this*inv(r);}
    auto opOpAssign(string op)(ModInt r) {return mixin ("this=this"~op~"r");}
     
    static ModInt inv(ModInt x) {return ModInt(extGcd!int(x.v, MD)[0]);}
    string toString() {return v.to!string;}
}
 
 
 
 
 
 
 
struct DModInt(string name) {
    import std.conv : to;
    static uint MD;
    uint v;
    this(int v) {this(long(v));}
    this(long v) {this.v = ((v%MD+MD)%MD).to!uint;}
    static auto normS(uint x) {return (x<MD)?x:x-MD;}
    static auto make(uint x) {DModInt m; m.MD = MD; m.v = x; return m;}
     
    auto opBinary(string op:"+")(DModInt r) const {return make(normS(v+r.v));}
     
    auto opBinary(string op:"-")(DModInt r) const {return make(normS(v+MD-r.v));}
     
    auto opBinary(string op:"*")(DModInt r) const {return make((long(v)*r.v%MD).to!uint);}
     
    auto opBinary(string op:"/")(DModInt r) const {return this*inv(r);}
    auto opOpAssign(string op)(DModInt r) {return mixin ("this=this"~op~"r");}
     
    static DModInt inv(DModInt x) {
        return DModInt(extGcd!int(x.v, MD)[0]);
    }
    string toString() {return v.to!string;}
}
 
 
 
 
 
 
template isModInt(T) {
    const isModInt =
        is(T : ModInt!MD, uint MD) || is(S : DModInt!S, string s);
}
 
 
T[] factTable(T)(size_t length) if (isModInt!T) {
    import std.range : take, recurrence;
    import std.array : array;
    return T(1).recurrence!((a, n) => a[n-1]*T(n)).take(length).array;
}
 
 
T[] invFactTable(T)(size_t length) if (isModInt!T) {
    import std.algorithm : map, reduce;
    import std.range : take, recurrence, iota;
    import std.array : array;
    auto res = new T[length];
    res[$-1] = T(1) / iota(1, length).map!T.reduce!"a*b";
    foreach_reverse (i, v; res[0..$-1]) {
        res[i] = res[i+1] * T(i+1);
    }
    return res;
}
 
T[] invTable(T)(size_t length) if (isModInt!T) {
    auto f = factTable!T(length);
    auto invf = invFactTable!T(length);
    auto res = new T[length];
    foreach (i; 1..length) {
        res[i] = invf[i] * f[i-1];
    }
    return res;
}

Submission Info

Submission Time
Task E - Sightseeing Plan
User yosupo
Language D (LDC 0.17.0)
Score 1600
Code Size 9203 Byte
Status AC
Exec Time 1361 ms
Memory 37372 KB

Judge Result

Set Name Sample All
Score / Max Score 0 / 0 1600 / 1600
Status
AC × 3
AC × 30
Set Name Test Cases
Sample sample_01.txt, sample_02.txt, sample_03.txt
All sample_01.txt, sample_02.txt, sample_03.txt, sample_01.txt, sample_02.txt, sample_03.txt, subtask_1_01.txt, subtask_1_02.txt, subtask_1_03.txt, subtask_1_04.txt, subtask_1_05.txt, subtask_1_06.txt, subtask_1_07.txt, subtask_1_08.txt, subtask_1_09.txt, subtask_1_10.txt, subtask_1_11.txt, subtask_1_12.txt, subtask_1_13.txt, subtask_1_14.txt, subtask_1_15.txt, subtask_1_16.txt, subtask_1_17.txt, subtask_1_18.txt, subtask_1_19.txt, subtask_1_20.txt, subtask_1_21.txt, subtask_1_22.txt, subtask_1_23.txt, subtask_1_24.txt
Case Name Status Exec Time Memory
sample_01.txt AC 87 ms 35452 KB
sample_02.txt AC 87 ms 36604 KB
sample_03.txt AC 269 ms 35196 KB
subtask_1_01.txt AC 88 ms 36732 KB
subtask_1_02.txt AC 138 ms 34940 KB
subtask_1_03.txt AC 904 ms 34684 KB
subtask_1_04.txt AC 258 ms 36348 KB
subtask_1_05.txt AC 683 ms 35452 KB
subtask_1_06.txt AC 172 ms 34684 KB
subtask_1_07.txt AC 349 ms 34556 KB
subtask_1_08.txt AC 289 ms 35708 KB
subtask_1_09.txt AC 279 ms 34940 KB
subtask_1_10.txt AC 271 ms 34684 KB
subtask_1_11.txt AC 275 ms 35964 KB
subtask_1_12.txt AC 87 ms 35580 KB
subtask_1_13.txt AC 147 ms 35324 KB
subtask_1_14.txt AC 88 ms 35452 KB
subtask_1_15.txt AC 87 ms 36348 KB
subtask_1_16.txt AC 199 ms 36988 KB
subtask_1_17.txt AC 141 ms 34556 KB
subtask_1_18.txt AC 173 ms 37244 KB
subtask_1_19.txt AC 87 ms 34684 KB
subtask_1_20.txt AC 1361 ms 36476 KB
subtask_1_21.txt AC 87 ms 35452 KB
subtask_1_22.txt AC 958 ms 36220 KB
subtask_1_23.txt AC 1217 ms 36220 KB
subtask_1_24.txt AC 993 ms 37372 KB